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Teuchos_LAPACK.hpp
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1// @HEADER
2// *****************************************************************************
3// Teuchos: Common Tools Package
4//
5// Copyright 2004 NTESS and the Teuchos contributors.
6// SPDX-License-Identifier: BSD-3-Clause
7// *****************************************************************************
8// @HEADER
9
10#ifndef _TEUCHOS_LAPACK_HPP_
11#define _TEUCHOS_LAPACK_HPP_
12
19
20#include "Teuchos_ConfigDefs.hpp"
21#include "Teuchos_ScalarTraits.hpp"
22
52
53namespace Teuchos
54{
55
56 template<class T>
57 struct UndefinedLAPACKRoutine
58 {
59 // This function should not compile if there is an attempt to instantiate!
60 static inline T notDefined() { return T::LAPACK_routine_not_defined_for_this_type(); }
61 };
62
63 template<typename OrdinalType, typename ScalarType>
64 class LAPACK
65 {
66 public:
67
68 typedef typename Teuchos::ScalarTraits<ScalarType>::magnitudeType MagnitudeType;
69
71
72
74 inline LAPACK(void) {}
75
77 inline LAPACK(const LAPACK<OrdinalType, ScalarType>& lapack) {}
78
80 inline virtual ~LAPACK(void) {}
82
84
85
87 void PTTRF(const OrdinalType& n, MagnitudeType* d, ScalarType* e, OrdinalType* info) const;
88
90 void PTTRS(const OrdinalType& n, const OrdinalType& nrhs, const MagnitudeType* d, const ScalarType* e, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
91
93 void POTRF(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const;
94
96 void POTRS(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
97
99 void POTRI(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const;
100
102 void POCON(const char& UPLO, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
103
105 void POSV(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
106
108 void POEQU(const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, MagnitudeType* S, MagnitudeType* scond, MagnitudeType* amax, OrdinalType* info) const;
109
111 void PORFS(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
112
114 void POSVX(const char& FACT, const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* AF, const OrdinalType& ldaf, char* EQUED, ScalarType* S, ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
116
118
119
121 void GELS(const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
122
156 void GELSS(const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* S, const MagnitudeType rcond, OrdinalType* rank, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const;
157
159 void GELSS(const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* S, const ScalarType& rcond, OrdinalType* rank, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
160
162 void GGLSE(const OrdinalType& m, const OrdinalType& n, const OrdinalType& p, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* C, ScalarType* D, ScalarType* X, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
163
165 void GEQRF (const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
166
168 void GEQR2 (const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* TAU, ScalarType* WORK, OrdinalType* const info) const;
169
171 void GETRF(const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, OrdinalType* info) const;
172
174 void GETRS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
175
177 void LASCL(const char& TYPE, const OrdinalType& kl, const OrdinalType& ku, const MagnitudeType cfrom, const MagnitudeType cto, const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const;
178
180 void GEQP3(const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* jpvt, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info ) const;
181
183 void LASWP (const OrdinalType& N, ScalarType* A, const OrdinalType& LDA, const OrdinalType& K1, const OrdinalType& K2, const OrdinalType* IPIV, const OrdinalType& INCX) const;
184
186 void GBTRF(const OrdinalType& m, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, OrdinalType* info) const;
187
189 void GBTRS(const char& TRANS, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
190
192 void GTTRF(const OrdinalType& n, ScalarType* dl, ScalarType* d, ScalarType* du, ScalarType* du2, OrdinalType* IPIV, OrdinalType* info) const;
193
195 void GTTRS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* dl, const ScalarType* d, const ScalarType* du, const ScalarType* du2, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
196
198 void GETRI(const OrdinalType& n, ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
199
204 void LATRS (const char& UPLO, const char& TRANS, const char& DIAG, const char& NORMIN, const OrdinalType& N, const ScalarType* A, const OrdinalType& LDA, ScalarType* X, MagnitudeType* SCALE, MagnitudeType* CNORM, OrdinalType* INFO) const;
205
207 void GECON(const char& NORM, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
208
210 void GBCON(const char& NORM, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
211
213 typename ScalarTraits<ScalarType>::magnitudeType LANGB(const char& NORM, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, MagnitudeType* WORK) const;
214
216 void GESV(const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
217
219 void GEEQU(const OrdinalType& m, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, ScalarType* R, ScalarType* C, ScalarType* rowcond, ScalarType* colcond, ScalarType* amax, OrdinalType* info) const;
220
222 void GERFS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const OrdinalType* IPIV, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
223
225 void GBEQU(const OrdinalType& m, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, MagnitudeType* R, MagnitudeType* C, MagnitudeType* rowcond, MagnitudeType* colcond, MagnitudeType* amax, OrdinalType* info) const;
226
228 void GBRFS(const char& TRANS, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const OrdinalType* IPIV, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
229
231
232 void GESVX(const char& FACT, const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* AF, const OrdinalType& ldaf, OrdinalType* IPIV, char* EQUED, ScalarType* R, ScalarType* C, ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const;
233
237 void SYTRD(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* D, ScalarType* E, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
238
240 void GEHRD(const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* A, const OrdinalType& lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
241
243 void TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const;
244
246 void TRTRI(const char& UPLO, const char& DIAG, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const;
248
250
251
254 void SPEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* AP, ScalarType* W, ScalarType* Z, const OrdinalType& ldz, ScalarType* WORK, OrdinalType* info) const;
255
259 void SYEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* W, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
260
264 void SYGV(const OrdinalType& itype, const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* W, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
265
269 void HEEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* W, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const;
270
274 void HEGV(const OrdinalType& itype, const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* W, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType *RWORK, OrdinalType* info) const;
275
277 void STEQR(const char& COMPZ, const OrdinalType& n, MagnitudeType* D, MagnitudeType* E, ScalarType* Z, const OrdinalType& ldz, MagnitudeType* WORK, OrdinalType* info) const;
278
280 void PTEQR(const char& COMPZ, const OrdinalType& n, MagnitudeType* D, MagnitudeType* E, ScalarType* Z, const OrdinalType& ldz, MagnitudeType* WORK, OrdinalType* info) const;
282
284
285
286 void HSEQR(const char& JOB, const char& COMPZ, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* H, const OrdinalType& ldh, ScalarType* WR, ScalarType* WI, ScalarType* Z, const OrdinalType& ldz, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
287
291 void GEES(const char& JOBVS, const char& SORT, OrdinalType& (*ptr2func)(ScalarType*, ScalarType*), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, ScalarType* WR, ScalarType* WI, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* BWORK, OrdinalType* info) const;
292
296 void GEES(const char& JOBVS, const char& SORT, OrdinalType& (*ptr2func)(ScalarType*), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, ScalarType* W, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* BWORK, OrdinalType* info) const;
297
301 void GEES(const char& JOBVS, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, MagnitudeType* WR, MagnitudeType* WI, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* BWORK, OrdinalType* info) const;
302
308 void GEEV(const char& JOBVL, const char& JOBVR, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* WR, MagnitudeType* WI, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const;
309
314 void GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* WR, ScalarType* WI, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* SCALE, MagnitudeType* abnrm, MagnitudeType* RCONDE, MagnitudeType* RCONDV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, OrdinalType* info) const;
315
320 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* ALPHAR, MagnitudeType* ALPHAI, ScalarType* BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* lscale, MagnitudeType* rscale, MagnitudeType* abnrm, MagnitudeType* bbnrm, MagnitudeType* RCONDE, MagnitudeType* RCONDV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, OrdinalType* BWORK, OrdinalType* info) const;
321
325 void GGEV(const char& JOBVL, const char& JOBVR, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, ScalarType* BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
326
327
331 void TRSEN(const char& JOB, const char& COMPQ, const OrdinalType* SELECT, const OrdinalType& n, ScalarType* T, const OrdinalType& ldt, ScalarType* Q, const OrdinalType& ldq, MagnitudeType *WR, MagnitudeType *WI, OrdinalType* M, ScalarType* S, MagnitudeType *SEP, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, const OrdinalType& liwork, OrdinalType* info ) const;
332
333
336 void TGSEN(const OrdinalType& ijob, const OrdinalType& wantq, const OrdinalType& wantz, const OrdinalType* SELECT, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, MagnitudeType *BETA, ScalarType* Q, const OrdinalType& ldq, ScalarType* Z, const OrdinalType& ldz, OrdinalType* M, MagnitudeType *PL, MagnitudeType *PR, MagnitudeType *DIF, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, const OrdinalType& liwork, OrdinalType* info ) const;
337
338
341 void GGES(const char& JOBVL, const char& JOBVR, const char& SORT, OrdinalType& (*ptr2func)(ScalarType* , ScalarType* , ScalarType* ), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* sdim, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, MagnitudeType *BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* BWORK, OrdinalType* info ) const;
342
344
345
347
348
349 void GESVD(const char& JOBU, const char& JOBVT, const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* S, ScalarType* U, const OrdinalType& ldu, ScalarType* V, const OrdinalType& ldv, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const;
351
352
354
355
365 void ORMQR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, const ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
366
372 void ORM2R(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, const ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, OrdinalType* const info) const;
373
382 void UNMQR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, const ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
383
388 void UNM2R(const char& SIDE, const char& TRANS, const OrdinalType& M, const OrdinalType& N, const OrdinalType& K, const ScalarType* A, const OrdinalType& LDA, const ScalarType* TAU, ScalarType* C, const OrdinalType& LDC, ScalarType* WORK, OrdinalType* const INFO) const;
389
399 void ORGQR(const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
400
409 void UNGQR(const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
410
414 void ORGHR(const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
415
419 void ORMHR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, const ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const;
421
423
424
427 void TREVC(const char& SIDE, const char& HOWMNY, OrdinalType* select, const OrdinalType& n, const ScalarType* T, const OrdinalType& ldt, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* m, ScalarType* WORK, OrdinalType* info) const;
428
432 void TREVC(const char& SIDE, const OrdinalType& n, const ScalarType* T, const OrdinalType& ldt, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* m, ScalarType* WORK, MagnitudeType* RWORK, OrdinalType* info) const;
433
437 void TREXC(const char& COMPQ, const OrdinalType& n, ScalarType* T, const OrdinalType& ldt, ScalarType* Q, const OrdinalType& ldq, OrdinalType* ifst, OrdinalType* ilst, ScalarType* WORK, OrdinalType* info) const;
438
442 void TGEVC(const char& SIDE, const char& HOWMNY, const OrdinalType* SELECT, const OrdinalType& n, const ScalarType* S, const OrdinalType& lds, const ScalarType* P, const OrdinalType& ldp, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* M, ScalarType* WORK, OrdinalType* info) const;
443
444
446
448
449
451 void LARTG( const ScalarType& f, const ScalarType& g, MagnitudeType* c, ScalarType* s, ScalarType* r ) const;
452
454 void LARFG( const OrdinalType& n, ScalarType* alpha, ScalarType* x, const OrdinalType& incx, ScalarType* tau ) const;
455
457
459
460
462
463 void GEBAL(const char& JOBZ, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* scale, OrdinalType* info) const;
464
466 void GEBAK(const char& JOBZ, const char& SIDE, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, const MagnitudeType* scale , const OrdinalType& m, ScalarType* V, const OrdinalType& ldv, OrdinalType* info) const;
467
469
471
472
473 ScalarType LARND( const OrdinalType& idist, OrdinalType* seed ) const;
474
476 void LARNV( const OrdinalType& idist, OrdinalType* seed, const OrdinalType& n, ScalarType* v ) const;
478
480
481
484 ScalarType LAMCH(const char& CMACH) const;
485
490 OrdinalType ILAENV( const OrdinalType& ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType& N1 = -1, const OrdinalType& N2 = -1, const OrdinalType& N3 = -1, const OrdinalType& N4 = -1 ) const;
492
494
495
498 ScalarType LAPY2(const ScalarType& x, const ScalarType& y) const;
500 };
501
502 // END GENERAL TEMPLATE DECLARATION //
503
504 // BEGIN GENERAL TEMPLATE IMPLEMENTATION //
505
506
507 template<typename OrdinalType, typename ScalarType>
508 void LAPACK<OrdinalType, ScalarType>::PTTRF(const OrdinalType& n, MagnitudeType* d, ScalarType* e, OrdinalType* info) const
509 {
510 UndefinedLAPACKRoutine<ScalarType>::notDefined();
511 }
512
513 template<typename OrdinalType, typename ScalarType>
514 void LAPACK<OrdinalType, ScalarType>::PTTRS(const OrdinalType& n, const OrdinalType& nrhs, const MagnitudeType* d, const ScalarType* e, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
515 {
516 UndefinedLAPACKRoutine<ScalarType>::notDefined();
517 }
518
519 template<typename OrdinalType, typename ScalarType>
520 void LAPACK<OrdinalType, ScalarType>::POTRF(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const
521 {
522 UndefinedLAPACKRoutine<ScalarType>::notDefined();
523 }
524
525 template<typename OrdinalType, typename ScalarType>
526 void LAPACK<OrdinalType, ScalarType>::POTRS(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
527 {
528 UndefinedLAPACKRoutine<ScalarType>::notDefined();
529 }
530
531 template<typename OrdinalType, typename ScalarType>
532 void LAPACK<OrdinalType, ScalarType>::POTRI(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const
533 {
534 UndefinedLAPACKRoutine<ScalarType>::notDefined();
535 }
536
537 template<typename OrdinalType, typename ScalarType>
538 void LAPACK<OrdinalType, ScalarType>::POCON(const char& UPLO, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
539 {
540 UndefinedLAPACKRoutine<ScalarType>::notDefined();
541 }
542
543 template<typename OrdinalType, typename ScalarType>
544 void LAPACK<OrdinalType, ScalarType>::POSV(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
545 {
546 UndefinedLAPACKRoutine<ScalarType>::notDefined();
547 }
548
549 template<typename OrdinalType, typename ScalarType>
550 void LAPACK<OrdinalType, ScalarType>::POEQU(const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, MagnitudeType* S, MagnitudeType* scond, MagnitudeType* amax, OrdinalType* info) const
551 {
552 // Test the input parameters
553 *info = 0;
554 if (n < 0) {
555 *info = -1;
556 } else if (lda < TEUCHOS_MAX(1, n)) {
557 *info = -3;
558 }
559 if (*info != 0) {
560 return;
561 }
562
563 ScalarType sZero = ScalarTraits<ScalarType>::zero();
564 ScalarType sOne = ScalarTraits<ScalarType>::one();
565 MagnitudeType mZero = ScalarTraits<ScalarType>::magnitude(sZero);
566 MagnitudeType mOne = ScalarTraits<ScalarType>::magnitude(sOne);
567
568 // Quick return
569 if (n == 0) {
570 *scond = mOne;
571 *amax = mZero;
572 return;
573 }
574
575 // Find the minimum and maximum diagonal elements
576 S[0] = ScalarTraits<ScalarType>::magnitude( A[0] );
577 MagnitudeType smin = S[0];
578 *amax = S[0];
579 for (OrdinalType i=0; i<n; ++i) {
580 S[i] = ScalarTraits<ScalarType>::magnitude( A[i*lda + i] );
581 smin = TEUCHOS_MIN( smin, S[i] );
582 *amax = TEUCHOS_MAX( *amax, S[i] );
583 }
584
585 if (smin < mZero) {
586 // Find the first non-positve diagonal element and return an error code
587 for (OrdinalType i=0; i<n; ++i) {
588 if (S[i] < mZero)
589 *info = i;
590 }
591 } else {
592 // Set the scale factors to the reciprocals of the diagonal elements
593 for (OrdinalType i=0; i<n; ++i) {
594 S[i] = mOne / ScalarTraits<ScalarType>::squareroot( S[i] );
595 }
596 // Compute scond = min(S(i)) / max(S(i))
597 *scond = ScalarTraits<ScalarType>::squareroot( smin ) / ScalarTraits<ScalarType>::squareroot( *amax );
598 }
599 }
600
601 template<typename OrdinalType, typename ScalarType>
602 void LAPACK<OrdinalType, ScalarType>::PORFS(const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
603 {
604 UndefinedLAPACKRoutine<ScalarType>::notDefined();
605 }
606
607 template<typename OrdinalType, typename ScalarType>
608 void LAPACK<OrdinalType, ScalarType>::POSVX(const char& FACT, const char& UPLO, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* AF, const OrdinalType& ldaf, char* EQUED, ScalarType* S, ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
609 {
610 UndefinedLAPACKRoutine<ScalarType>::notDefined();
611 }
612
613 template<typename OrdinalType, typename ScalarType>
614 void LAPACK<OrdinalType,ScalarType>::GELS(const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
615 {
616 UndefinedLAPACKRoutine<ScalarType>::notDefined();
617 }
618
619 template<typename OrdinalType, typename ScalarType>
620 void LAPACK<OrdinalType, ScalarType>::GELSS(const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* S, const MagnitudeType rcond, OrdinalType* rank, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const
621 {
622 UndefinedLAPACKRoutine<ScalarType>::notDefined();
623 }
624
625 template<typename OrdinalType, typename ScalarType>
626 void LAPACK<OrdinalType,ScalarType>::GELSS(const OrdinalType& m, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* S, const ScalarType& rcond, OrdinalType* rank, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
627 {
628 UndefinedLAPACKRoutine<ScalarType>::notDefined();
629 }
630
631 template<typename OrdinalType, typename ScalarType>
632 void LAPACK<OrdinalType,ScalarType>::GGLSE(const OrdinalType& m, const OrdinalType& n, const OrdinalType& p, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* C, ScalarType* D, ScalarType* X, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
633 {
634 UndefinedLAPACKRoutine<ScalarType>::notDefined();
635 }
636
637 template<typename OrdinalType, typename ScalarType>
638 void LAPACK<OrdinalType,ScalarType>::GEQRF( const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
639 {
640 UndefinedLAPACKRoutine<ScalarType>::notDefined();
641 }
642
643 template<typename OrdinalType, typename ScalarType>
644 void LAPACK<OrdinalType,ScalarType>::GEQR2 (const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* TAU, ScalarType* WORK, OrdinalType* const info) const
645 {
646 UndefinedLAPACKRoutine<ScalarType>::notDefined();
647 }
648
649 template<typename OrdinalType, typename ScalarType>
650 void LAPACK<OrdinalType,ScalarType>::GETRF(const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, OrdinalType* info) const
651 {
652 UndefinedLAPACKRoutine<ScalarType>::notDefined();
653 }
654
655 template<typename OrdinalType, typename ScalarType>
656 void LAPACK<OrdinalType,ScalarType>::GETRS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
657 {
658 UndefinedLAPACKRoutine<ScalarType>::notDefined();
659 }
660
661 template<typename OrdinalType, typename ScalarType>
662 void LAPACK<OrdinalType,ScalarType>::LASCL(const char& TYPE, const OrdinalType& kl, const OrdinalType& ku, const MagnitudeType cfrom, const MagnitudeType cto, const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const
663 {
664 MagnitudeType safeMin = ScalarTraits<ScalarType>::sfmin();
665 ScalarType sZero = ScalarTraits<ScalarType>::zero();
666 ScalarType sOne = ScalarTraits<ScalarType>::one();
667 MagnitudeType mZero = ScalarTraits<ScalarType>::magnitude(sZero);
668 MagnitudeType mOne = ScalarTraits<ScalarType>::magnitude(sOne);
669
670 MagnitudeType smlnum = ScalarTraits<ScalarType>::magnitude(safeMin);
671 MagnitudeType bignum = ScalarTraits<ScalarType>::magnitude(sOne/smlnum);
672
673 OrdinalType i, j;
674 ScalarType* ptr;
675 MagnitudeType mul;
676 bool done = false;
677
678 MagnitudeType cfromc = cfrom;
679 MagnitudeType ctoc = cto;
680 MagnitudeType cfrom1;
681 MagnitudeType cto1;
682
683 while (!done) {
684
685 cfrom1 = cfromc*smlnum;
686 if (cfrom1 == cfromc) {
687 // cfromc is an inf. Multiply by a correctly signed zero for finite ctoc, or a NaN if ctoc is infinite.
688 mul = ctoc / cfromc;
689 done = true;
690 cto1 = ctoc;
691 } else {
692 cto1 = ctoc / bignum;
693 if (cto1 == ctoc) {
694 // ctoc is either 0 or an inf. In both cases, ctoc itself serves as the correct multiplication factor.
695 mul = ctoc;
696 done = true;
697 cfromc = mOne;
698 } else if (ScalarTraits<ScalarType>::magnitude(cfrom1) > ScalarTraits<ScalarType>::magnitude(ctoc) && ctoc != mZero) {
699 mul = smlnum;
700 done = false;
701 cfromc = cfrom1;
702 } else if (ScalarTraits<ScalarType>::magnitude(cto1) > ScalarTraits<ScalarType>::magnitude(cfromc)) {
703 mul = bignum;
704 done = false;
705 ctoc = cto1;
706 } else {
707 mul = ctoc / cfromc;
708 done = true;
709 }
710 }
711
712 for (j=0; j<n; j++) {
713 ptr = A + j*lda;
714 for (i=0; i<m; i++) { *ptr = mul * (*ptr); ptr++; }
715 }
716 }
717
718 }
719
720 template<typename OrdinalType, typename ScalarType>
721 void LAPACK<OrdinalType,ScalarType>::GEQP3 (const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* jpvt, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const
722 {
723 UndefinedLAPACKRoutine<ScalarType>::notDefined();
724 }
725
726 template<typename OrdinalType, typename ScalarType>
727 void LAPACK<OrdinalType, ScalarType>::LASWP (const OrdinalType& N, ScalarType* A, const OrdinalType& LDA, const OrdinalType& K1, const OrdinalType& K2, const OrdinalType* IPIV, const OrdinalType& INCX) const
728 {
729 UndefinedLAPACKRoutine<ScalarType>::notDefined();
730 }
731
732 template<typename OrdinalType, typename ScalarType>
733 void LAPACK<OrdinalType,ScalarType>::GBTRF(const OrdinalType& m, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, OrdinalType* info) const
734 {
735 UndefinedLAPACKRoutine<ScalarType>::notDefined();
736 }
737
738 template<typename OrdinalType, typename ScalarType>
739 void LAPACK<OrdinalType,ScalarType>::GBTRS(const char& TRANS, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
740 {
741 UndefinedLAPACKRoutine<ScalarType>::notDefined();
742 }
743
744 template<typename OrdinalType, typename ScalarType>
745 void LAPACK<OrdinalType,ScalarType>::GTTRF(const OrdinalType& n, ScalarType* dl, ScalarType* d, ScalarType* du, ScalarType* du2, OrdinalType* IPIV, OrdinalType* info) const
746 {
747 UndefinedLAPACKRoutine<ScalarType>::notDefined();
748 }
749
750 template<typename OrdinalType, typename ScalarType>
751 void LAPACK<OrdinalType,ScalarType>::GTTRS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* dl, const ScalarType* d, const ScalarType* du, const ScalarType* du2, const OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
752 {
753 UndefinedLAPACKRoutine<ScalarType>::notDefined();
754 }
755
756 template<typename OrdinalType, typename ScalarType>
757 void LAPACK<OrdinalType,ScalarType>::GETRI(const OrdinalType& n, ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
758 {
759 UndefinedLAPACKRoutine<ScalarType>::notDefined();
760 }
761
762 template<typename OrdinalType, typename ScalarType>
763 void LAPACK<OrdinalType,ScalarType>::LATRS (const char& UPLO, const char& TRANS, const char& DIAG, const char& NORMIN, const OrdinalType& N, const ScalarType* A, const OrdinalType& LDA, ScalarType* X, MagnitudeType* SCALE, MagnitudeType* CNORM, OrdinalType* INFO) const
764 {
765 UndefinedLAPACKRoutine<ScalarType>::notDefined();
766 }
767
768 template<typename OrdinalType, typename ScalarType>
769 void LAPACK<OrdinalType,ScalarType>::GECON(const char& NORM, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
770 {
771 UndefinedLAPACKRoutine<ScalarType>::notDefined();
772 }
773
774 template<typename OrdinalType, typename ScalarType>
775 void LAPACK<OrdinalType,ScalarType>::GBCON(const char& NORM, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, const OrdinalType* IPIV, const ScalarType& anorm, ScalarType* rcond, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
776 {
777 UndefinedLAPACKRoutine<ScalarType>::notDefined();
778 }
779
780 template<typename OrdinalType, typename ScalarType>
781 typename ScalarTraits<ScalarType>::magnitudeType LAPACK<OrdinalType,ScalarType>::LANGB(const char& NORM, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, MagnitudeType* WORK) const
782 {
783 UndefinedLAPACKRoutine<ScalarType>::notDefined();
784 }
785
786 template<typename OrdinalType, typename ScalarType>
787 void LAPACK<OrdinalType,ScalarType>::GESV(const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, OrdinalType* IPIV, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
788 {
789 UndefinedLAPACKRoutine<ScalarType>::notDefined();
790 }
791
792 template<typename OrdinalType, typename ScalarType>
793 void LAPACK<OrdinalType,ScalarType>::GEEQU(const OrdinalType& m, const OrdinalType& n, const ScalarType* A, const OrdinalType& lda, ScalarType* R, ScalarType* C, ScalarType* rowcond, ScalarType* colcond, ScalarType* amax, OrdinalType* info) const
794 {
795
796 // Test the input parameters
797 *info = 0;
798 if (m < 0) {
799 *info = -1;
800 } else if (n < 0) {
801 *info = -2;
802 } else if (lda < TEUCHOS_MAX(1, m)) {
803 *info = -4;
804 }
805 if (*info != 0) {
806 return;
807 }
808
809 ScalarType sZero = ScalarTraits<ScalarType>::zero();
810 ScalarType sOne = ScalarTraits<ScalarType>::one();
811 MagnitudeType mZero = ScalarTraits<ScalarType>::magnitude(sZero);
812 MagnitudeType mOne = ScalarTraits<ScalarType>::magnitude(sOne);
813
814 // Quick return
815 if (m == 0 || n == 0) {
816 *rowcond = mOne;
817 *colcond = mOne;
818 *amax = mZero;
819 return;
820 }
821
822 MagnitudeType safeMin = ScalarTraits<ScalarType>::sfmin();
823 MagnitudeType smlnum = ScalarTraits<ScalarType>::magnitude(safeMin);
824 MagnitudeType bignum = ScalarTraits<ScalarType>::magnitude(sOne/smlnum);
825
826 // Compute the row scale factors
827 for (OrdinalType i=0; i<m; i++) {
828 R[i] = mZero;
829 }
830
831 // Find the maximum element in each row
832 for (OrdinalType j=0; j<n; j++) {
833 for (OrdinalType i=0; i<m; i++) {
834 R[i] = TEUCHOS_MAX( R[i], ScalarTraits<ScalarType>::magnitude( A[j*lda + i] ) );
835 }
836 }
837
838 // Find the maximum and minimum scale factors
839 MagnitudeType rcmin = bignum;
840 MagnitudeType rcmax = mZero;
841 for (OrdinalType i=0; i<m; i++) {
842 rcmax = TEUCHOS_MAX( rcmax, R[i] );
843 rcmin = TEUCHOS_MIN( rcmin, R[i] );
844 }
845 *amax = rcmax;
846
847 if (rcmin == mZero) {
848 // Find the first zero scale factor and return an error code
849 for (OrdinalType i=0; i<m; i++) {
850 if (R[i] == mZero)
851 *info = i;
852 }
853 } else {
854 // Invert the scale factors
855 for (OrdinalType i=0; i<m; i++) {
856 R[i] = mOne / TEUCHOS_MIN( TEUCHOS_MAX( R[i], smlnum ), bignum );
857 }
858 // Compute rowcond = min(R(i)) / max(R(i))
859 *rowcond = TEUCHOS_MAX( rcmin, smlnum ) / TEUCHOS_MIN( rcmax, bignum );
860 }
861
862 // Compute the column scale factors
863 for (OrdinalType j=0; j<n; j++) {
864 C[j] = mZero;
865 }
866
867 // Find the maximum element in each column, assuming the row scaling computed above
868 for (OrdinalType j=0; j<n; j++) {
869 for (OrdinalType i=0; i<m; i++) {
870 C[j] = TEUCHOS_MAX( C[j], R[i]*ScalarTraits<ScalarType>::magnitude( A[j*lda + i] ) );
871 }
872 }
873
874 // Find the maximum and minimum scale factors
875 rcmin = bignum;
876 rcmax = mZero;
877 for (OrdinalType j=0; j<n; j++) {
878 rcmax = TEUCHOS_MAX( rcmax, C[j] );
879 rcmin = TEUCHOS_MIN( rcmin, C[j] );
880 }
881
882 if (rcmin == mZero) {
883 // Find the first zero scale factor and return an error code
884 for (OrdinalType j=0; j<n; j++) {
885 if (C[j] == mZero)
886 *info = m+j;
887 }
888 } else {
889 // Invert the scale factors
890 for (OrdinalType j=0; j<n; j++) {
891 C[j] = mOne / TEUCHOS_MIN( TEUCHOS_MAX( C[j], smlnum ), bignum );
892 }
893 // Compute colcond = min(C(j)) / max(C(j))
894 *colcond = TEUCHOS_MAX( rcmin, smlnum ) / TEUCHOS_MIN( rcmax, bignum );
895 }
896 }
897
898 template<typename OrdinalType, typename ScalarType>
899 void LAPACK<OrdinalType,ScalarType>::GERFS(const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const OrdinalType* IPIV, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
900 {
901 UndefinedLAPACKRoutine<ScalarType>::notDefined();
902 }
903
904 template<typename OrdinalType, typename ScalarType>
905 void LAPACK<OrdinalType,ScalarType>::GBEQU(const OrdinalType& m, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const ScalarType* A, const OrdinalType& lda, MagnitudeType* R, MagnitudeType* C, MagnitudeType* rowcond, MagnitudeType* colcond, MagnitudeType* amax, OrdinalType* info) const
906 {
907
908 // Test the input parameters
909 * info = 0;
910 if (m < 0) {
911 *info = -1;
912 } else if (n < 0) {
913 *info = -2;
914 } else if (kl < 0) {
915 *info = -3;
916 } else if (ku < 0) {
917 *info = -4;
918 } else if (lda < kl+ku+1) {
919 *info = -6;
920 }
921 if (*info != 0) {
922 return;
923 }
924
925 ScalarType sZero = ScalarTraits<ScalarType>::zero();
926 ScalarType sOne = ScalarTraits<ScalarType>::one();
927 MagnitudeType mZero = ScalarTraits<ScalarType>::magnitude(sZero);
928 MagnitudeType mOne = ScalarTraits<ScalarType>::magnitude(sOne);
929
930 // Quick return
931 if (m == 0 || n == 0) {
932 *rowcond = mOne;
933 *colcond = mOne;
934 *amax = mZero;
935 return;
936 }
937
938 MagnitudeType safeMin = ScalarTraits<ScalarType>::sfmin();
939 MagnitudeType smlnum = ScalarTraits<ScalarType>::magnitude(safeMin);
940 MagnitudeType bignum = ScalarTraits<ScalarType>::magnitude(sOne/smlnum);
941
942 // Compute the row scale factors
943 for (OrdinalType i=0; i<m; i++) {
944 R[i] = mZero;
945 }
946
947 // Find the maximum element in each row
948 for (OrdinalType j=0; j<n; j++) {
949 for (OrdinalType i=TEUCHOS_MAX(j-ku,0); i<TEUCHOS_MIN(j+kl,m-1); i++) {
950 R[i] = TEUCHOS_MAX( R[i], ScalarTraits<ScalarType>::magnitude( A[j*lda + ku+i-j] ) );
951 }
952 }
953
954 // Find the maximum and minimum scale factors
955 MagnitudeType rcmin = bignum;
956 MagnitudeType rcmax = mZero;
957 for (OrdinalType i=0; i<m; i++) {
958 rcmax = TEUCHOS_MAX( rcmax, R[i] );
959 rcmin = TEUCHOS_MIN( rcmin, R[i] );
960 }
961 *amax = rcmax;
962
963 if (rcmin == mZero) {
964 // Find the first zero scale factor and return an error code
965 for (OrdinalType i=0; i<m; i++) {
966 if (R[i] == mZero)
967 *info = i;
968 }
969 } else {
970 // Invert the scale factors
971 for (OrdinalType i=0; i<m; i++) {
972 R[i] = mOne / TEUCHOS_MIN( TEUCHOS_MAX( R[i], smlnum ), bignum );
973 }
974 // Compute rowcond = min(R(i)) / max(R(i))
975 *rowcond = TEUCHOS_MAX( rcmin, smlnum ) / TEUCHOS_MIN( rcmax, bignum );
976 }
977
978 // Compute the column scale factors
979 for (OrdinalType j=0; j<n; j++) {
980 C[j] = mZero;
981 }
982
983 // Find the maximum element in each column, assuming the row scaling computed above
984 for (OrdinalType j=0; j<n; j++) {
985 for (OrdinalType i=TEUCHOS_MAX(j-ku,0); i<TEUCHOS_MIN(j+kl,m-1); i++) {
986 C[j] = TEUCHOS_MAX( C[j], R[i]*ScalarTraits<ScalarType>::magnitude( A[j*lda + ku+i-j] ) );
987 }
988 }
989
990 // Find the maximum and minimum scale factors
991 rcmin = bignum;
992 rcmax = mZero;
993 for (OrdinalType j=0; j<n; j++) {
994 rcmax = TEUCHOS_MAX( rcmax, C[j] );
995 rcmin = TEUCHOS_MIN( rcmin, C[j] );
996 }
997
998 if (rcmin == mZero) {
999 // Find the first zero scale factor and return an error code
1000 for (OrdinalType j=0; j<n; j++) {
1001 if (C[j] == mZero)
1002 *info = m+j;
1003 }
1004 } else {
1005 // Invert the scale factors
1006 for (OrdinalType j=0; j<n; j++) {
1007 C[j] = mOne / TEUCHOS_MIN( TEUCHOS_MAX( C[j], smlnum ), bignum );
1008 }
1009 // Compute colcond = min(C(j)) / max(C(j))
1010 *colcond = TEUCHOS_MAX( rcmin, smlnum ) / TEUCHOS_MIN( rcmax, bignum );
1011 }
1012 }
1013
1014 template<typename OrdinalType, typename ScalarType>
1015 void LAPACK<OrdinalType,ScalarType>::GBRFS(const char& TRANS, const OrdinalType& n, const OrdinalType& kl, const OrdinalType& ku, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, const ScalarType* AF, const OrdinalType& ldaf, const OrdinalType* IPIV, const ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
1016 {
1017 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1018 }
1019
1020 template<typename OrdinalType, typename ScalarType>
1021 void LAPACK<OrdinalType,ScalarType>::GESVX(const char& FACT, const char& TRANS, const OrdinalType& n, const OrdinalType& nrhs, ScalarType* A, const OrdinalType& lda, ScalarType* AF, const OrdinalType& ldaf, OrdinalType* IPIV, char* EQUED, ScalarType* R, ScalarType* C, ScalarType* B, const OrdinalType& ldb, ScalarType* X, const OrdinalType& ldx, ScalarType* rcond, ScalarType* FERR, ScalarType* BERR, ScalarType* WORK, OrdinalType* IWORK, OrdinalType* info) const
1022 {
1023 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1024 }
1025
1026 template<typename OrdinalType, typename ScalarType>
1027 void LAPACK<OrdinalType,ScalarType>::SYTRD(const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* D, ScalarType* E, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1028 {
1029 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1030 }
1031
1032 template<typename OrdinalType, typename ScalarType>
1033 void LAPACK<OrdinalType,ScalarType>::GEHRD(const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* A, const OrdinalType& lda, ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1034 {
1035 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1036 }
1037
1038 template<typename OrdinalType, typename ScalarType>
1039 void LAPACK<OrdinalType,ScalarType>::TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const OrdinalType& n, const OrdinalType& nrhs, const ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* info) const
1040 {
1041 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1042 }
1043
1044 template<typename OrdinalType, typename ScalarType>
1045 void LAPACK<OrdinalType,ScalarType>::TRTRI(const char& UPLO, const char& DIAG, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* info) const
1046 {
1047 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1048 }
1049
1050 template<typename OrdinalType, typename ScalarType>
1051 void LAPACK<OrdinalType,ScalarType>::SPEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* AP, ScalarType* W, ScalarType* Z, const OrdinalType& ldz, ScalarType* WORK, OrdinalType* info) const
1052 {
1053 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1054 }
1055
1056 template<typename OrdinalType, typename ScalarType>
1057 void LAPACK<OrdinalType,ScalarType>::SYEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* W, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1058 {
1059 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1060 }
1061
1062 template<typename OrdinalType, typename ScalarType>
1063 void LAPACK<OrdinalType,ScalarType>::SYGV(const OrdinalType& itype, const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, ScalarType* W, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1064 {
1065 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1066 }
1067
1068 template<typename OrdinalType, typename ScalarType>
1069 void LAPACK<OrdinalType,ScalarType>::HEEV(const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* W, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const
1070 {
1071 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1072 }
1073
1074 template<typename OrdinalType, typename ScalarType>
1075 void LAPACK<OrdinalType,ScalarType>::HEGV(const OrdinalType& itype, const char& JOBZ, const char& UPLO, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* W, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const
1076 {
1077 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1078 }
1079
1080 template<typename OrdinalType, typename ScalarType>
1081 void LAPACK<OrdinalType,ScalarType>::STEQR(const char& COMPZ, const OrdinalType& n, MagnitudeType* D, MagnitudeType* E, ScalarType* Z, const OrdinalType& ldz, MagnitudeType* WORK, OrdinalType* info) const
1082 {
1083 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1084 }
1085
1086 template<typename OrdinalType, typename ScalarType>
1087 void LAPACK<OrdinalType,ScalarType>::PTEQR(const char& COMPZ, const OrdinalType& n, MagnitudeType* D, MagnitudeType* E, ScalarType* Z, const OrdinalType& ldz, MagnitudeType* WORK, OrdinalType* info) const
1088 {
1089 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1090 }
1091
1092 template<typename OrdinalType, typename ScalarType>
1093 void LAPACK<OrdinalType, ScalarType>::HSEQR(const char& JOB, const char& COMPZ, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* H, const OrdinalType& ldh, ScalarType* WR, ScalarType* WI, ScalarType* Z, const OrdinalType& ldz, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1094 {
1095 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1096 }
1097
1098 template<typename OrdinalType, typename ScalarType>
1099 void LAPACK<OrdinalType, ScalarType>::GEES(const char& JOBVS, const char& SORT, OrdinalType& (*ptr2func)(ScalarType*, ScalarType*), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, ScalarType* WR, ScalarType* WI, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* BWORK, OrdinalType* info) const
1100 {
1101 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1102 }
1103
1104 template<typename OrdinalType, typename ScalarType>
1105 void LAPACK<OrdinalType, ScalarType>::GEES(const char& JOBVS, const char& SORT, OrdinalType& (*ptr2func)(ScalarType*), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, ScalarType* W, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType *RWORK, OrdinalType* BWORK, OrdinalType* info) const
1106 {
1107 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1108 }
1109
1110 template<typename OrdinalType, typename ScalarType>
1111 void LAPACK<OrdinalType, ScalarType>::GEES(const char& JOBVS, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* sdim, MagnitudeType* WR, MagnitudeType* WI, ScalarType* VS, const OrdinalType& ldvs, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType *RWORK, OrdinalType* BWORK, OrdinalType* info) const
1112 {
1113 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1114 }
1115
1116 template<typename OrdinalType, typename ScalarType>
1117 void LAPACK<OrdinalType, ScalarType>::GEEV(const char& JOBVL, const char& JOBVR, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* WR, MagnitudeType* WI, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* rwork, OrdinalType* info) const
1118 {
1119 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1120 }
1121
1122 template<typename OrdinalType, typename ScalarType>
1123 void LAPACK<OrdinalType, ScalarType>::GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* WR, ScalarType* WI, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* SCALE, MagnitudeType* abnrm, MagnitudeType* RCONDE, MagnitudeType* RCONDV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, OrdinalType* info) const
1124 {
1125 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1126 }
1127
1128 template<typename OrdinalType, typename ScalarType>
1129 void LAPACK<OrdinalType, ScalarType>::GESVD(const char& JOBU, const char& JOBVT, const OrdinalType& m, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, MagnitudeType* S, ScalarType* U, const OrdinalType& ldu, ScalarType* V, const OrdinalType& ldv, ScalarType* WORK, const OrdinalType& lwork, MagnitudeType* RWORK, OrdinalType* info) const
1130 {
1131 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1132 }
1133
1134 template<typename OrdinalType, typename ScalarType>
1135 void LAPACK<OrdinalType, ScalarType>::GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType* ALPHAR, MagnitudeType* ALPHAI, ScalarType* BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* lscale, MagnitudeType* rscale, MagnitudeType* abnrm, MagnitudeType* bbnrm, MagnitudeType* RCONDE, MagnitudeType* RCONDV, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, OrdinalType* BWORK, OrdinalType* info) const
1136 {
1137 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1138 }
1139
1140 template<typename OrdinalType, typename ScalarType>
1141 void LAPACK<OrdinalType, ScalarType>::GGEV(const char& JOBVL, const char& JOBVR, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, ScalarType* BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1142 {
1143 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1144 }
1145
1146
1147 template<typename OrdinalType, typename ScalarType>
1148 void LAPACK<OrdinalType,ScalarType>::TRSEN(const char& JOB, const char& COMPQ, const OrdinalType* SELECT, const OrdinalType& n, ScalarType* T, const OrdinalType& ldt, ScalarType* Q, const OrdinalType& ldq, MagnitudeType *WR, MagnitudeType *WI, OrdinalType* M, ScalarType* S, MagnitudeType *SEP, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, const OrdinalType& liwork, OrdinalType* info ) const
1149 {
1150 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1151 }
1152
1153
1154 template<typename OrdinalType, typename ScalarType>
1155 void LAPACK<OrdinalType,ScalarType>::TGSEN(const OrdinalType& ijob, const OrdinalType& wantq, const OrdinalType& wantz, const OrdinalType* SELECT, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, MagnitudeType *BETA, ScalarType* Q, const OrdinalType& ldq, ScalarType* Z, const OrdinalType& ldz, OrdinalType* M, MagnitudeType *PL, MagnitudeType *PR, MagnitudeType *DIF, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* IWORK, const OrdinalType& liwork, OrdinalType* info ) const
1156 {
1157 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1158 }
1159
1160
1161 template<typename OrdinalType, typename ScalarType>
1162 void LAPACK<OrdinalType, ScalarType>::GGES(const char& JOBVL, const char& JOBVR, const char& SORT, OrdinalType& (*ptr2func)(ScalarType*, ScalarType*, ScalarType*), const OrdinalType& n, ScalarType* A, const OrdinalType& lda, ScalarType* B, const OrdinalType& ldb, OrdinalType* sdim, MagnitudeType* ALPHAR, MagnitudeType* ALPHAI, MagnitudeType* BETA, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* BWORK, OrdinalType* info ) const
1163 {
1164 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1165 }
1166
1167 template<typename OrdinalType, typename ScalarType>
1168 void LAPACK<OrdinalType, ScalarType>::ORMQR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, const ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1169 {
1170 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1171 }
1172
1173 template<typename OrdinalType, typename ScalarType>
1174 void LAPACK<OrdinalType, ScalarType>::ORM2R(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, const ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, OrdinalType* const info) const
1175 {
1176 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1177 }
1178
1179 template<typename OrdinalType, typename ScalarType>
1180 void LAPACK<OrdinalType, ScalarType>::UNMQR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, const ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1181 {
1182 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1183 }
1184
1185 template<typename OrdinalType, typename ScalarType>
1186 void LAPACK<OrdinalType, ScalarType>::UNM2R(const char& SIDE, const char& TRANS, const OrdinalType& M, const OrdinalType& N, const OrdinalType& K, const ScalarType* A, const OrdinalType& LDA, const ScalarType* TAU, ScalarType* C, const OrdinalType& LDC, ScalarType* WORK, OrdinalType* const INFO) const
1187 {
1188 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1189 }
1190
1191 template<typename OrdinalType, typename ScalarType>
1192 void LAPACK<OrdinalType, ScalarType>::ORGQR(const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1193 {
1194 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1195 }
1196
1197 template<typename OrdinalType, typename ScalarType>
1198 void LAPACK<OrdinalType, ScalarType>::UNGQR(const OrdinalType& m, const OrdinalType& n, const OrdinalType& k, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1199 {
1200 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1201 }
1202
1203 template<typename OrdinalType, typename ScalarType>
1204 void LAPACK<OrdinalType, ScalarType>::ORGHR(const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1205 {
1206 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1207 }
1208
1209 template<typename OrdinalType, typename ScalarType>
1210 void LAPACK<OrdinalType, ScalarType>::ORMHR(const char& SIDE, const char& TRANS, const OrdinalType& m, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, const ScalarType* A, const OrdinalType& lda, const ScalarType* TAU, ScalarType* C, const OrdinalType& ldc, ScalarType* WORK, const OrdinalType& lwork, OrdinalType* info) const
1211 {
1212 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1213 }
1214
1215 template<typename OrdinalType, typename ScalarType>
1216 void LAPACK<OrdinalType, ScalarType>::TREVC(const char& SIDE, const char& HOWMNY, OrdinalType* select, const OrdinalType& n, const ScalarType* T, const OrdinalType& ldt, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* m, ScalarType* WORK, OrdinalType* info) const
1217 {
1218 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1219 }
1220
1221 template<typename OrdinalType, typename ScalarType>
1222 void LAPACK<OrdinalType, ScalarType>::TREVC(const char& SIDE, const OrdinalType& n, const ScalarType* T, const OrdinalType& ldt, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* m, ScalarType* WORK, MagnitudeType* RWORK, OrdinalType* info) const
1223 {
1224 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1225 }
1226
1227 template<typename OrdinalType, typename ScalarType>
1228 void LAPACK<OrdinalType, ScalarType>::TREXC(const char& COMPQ, const OrdinalType& n, ScalarType* T, const OrdinalType& ldt, ScalarType* Q, const OrdinalType& ldq, OrdinalType* ifst, OrdinalType* ilst, ScalarType* WORK, OrdinalType* info) const
1229 {
1230 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1231 }
1232
1233
1234 template<typename OrdinalType, typename ScalarType>
1235 void LAPACK<OrdinalType, ScalarType>::TGEVC(const char& SIDE, const char& HOWMNY, const OrdinalType* SELECT, const OrdinalType& n, const ScalarType* S, const OrdinalType& lds, const ScalarType* P, const OrdinalType& ldp, ScalarType* VL, const OrdinalType& ldvl, ScalarType* VR, const OrdinalType& ldvr, const OrdinalType& mm, OrdinalType* M, ScalarType* WORK, OrdinalType* info) const
1236 {
1237 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1238 }
1239
1240
1241 template<typename OrdinalType, typename ScalarType>
1242 ScalarType LAPACK<OrdinalType, ScalarType>::LAMCH(const char& CMACH) const
1243 {
1244 return UndefinedLAPACKRoutine<ScalarType>::notDefined();
1245 }
1246
1247 template<typename OrdinalType, typename ScalarType>
1248 OrdinalType LAPACK<OrdinalType, ScalarType>::ILAENV( const OrdinalType& ispec, const std::string& NAME, const std::string& OPTS, const OrdinalType& N1, const OrdinalType& N2, const OrdinalType& N3, const OrdinalType& N4 ) const
1249 {
1250 return UndefinedLAPACKRoutine<OrdinalType>::notDefined();
1251 }
1252
1253 template<typename OrdinalType, typename ScalarType>
1254 ScalarType LAPACK<OrdinalType, ScalarType>::LAPY2(const ScalarType& x, const ScalarType& y) const
1255 {
1256 return UndefinedLAPACKRoutine<ScalarType>::notDefined();
1257 }
1258
1259 template<typename OrdinalType, typename ScalarType>
1260 void LAPACK<OrdinalType, ScalarType>::LARTG( const ScalarType& f, const ScalarType& g, MagnitudeType* c, ScalarType* s, ScalarType* r ) const
1261 {
1262 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1263 }
1264
1265 template<typename OrdinalType, typename ScalarType>
1266 void LAPACK<OrdinalType, ScalarType>::LARFG( const OrdinalType& n, ScalarType* alpha, ScalarType* x, const OrdinalType& incx, ScalarType* tau ) const
1267 {
1268 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1269 }
1270
1271 template<typename OrdinalType, typename ScalarType>
1272 void LAPACK<OrdinalType, ScalarType>::GEBAL( const char& JOBZ, const OrdinalType& n, ScalarType* A, const OrdinalType& lda, OrdinalType* ilo, OrdinalType* ihi, MagnitudeType* scale, OrdinalType* info ) const
1273 {
1274 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1275 }
1276
1277
1278 template<typename OrdinalType, typename ScalarType>
1279 void LAPACK<OrdinalType, ScalarType>::GEBAK( const char& JOBZ, const char& SIDE, const OrdinalType& n, const OrdinalType& ilo, const OrdinalType& ihi, const MagnitudeType* scale, const OrdinalType& m, ScalarType* V, const OrdinalType& ldv, OrdinalType* info ) const
1280 {
1281 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1282 }
1283
1284 template<typename OrdinalType, typename ScalarType>
1285 ScalarType LAPACK<OrdinalType, ScalarType>::LARND( const OrdinalType& idist, OrdinalType* seed ) const
1286 {
1287 return UndefinedLAPACKRoutine<ScalarType>::notDefined();
1288 }
1289
1290 template<typename OrdinalType, typename ScalarType>
1291 void LAPACK<OrdinalType, ScalarType>::LARNV( const OrdinalType& idist, OrdinalType* seed, const OrdinalType& n, ScalarType* v ) const
1292 {
1293 UndefinedLAPACKRoutine<ScalarType>::notDefined();
1294 }
1295
1296 // END GENERAL TEMPLATE IMPLEMENTATION //
1297
1298#ifndef DOXYGEN_SHOULD_SKIP_THIS
1299
1300 // BEGIN INT, FLOAT SPECIALIZATION DECLARATION //
1301
1302 template<>
1303 class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, float>
1304 {
1305 public:
1306 inline LAPACK(void) {}
1307 inline LAPACK(const LAPACK<int, float>& /*lapack*/) {}
1308 inline virtual ~LAPACK(void) {}
1309
1310 // Symmetric positive definite linear system routines
1311 void PTTRF(const int& n, float* d, float* e, int* info) const;
1312 void PTTRS(const int& n, const int& nrhs, const float* d, const float* e, float* B, const int& ldb, int* info) const;
1313 void POTRF(const char& UPLO, const int& n, float* A, const int& lda, int* info) const;
1314 void POTRS(const char& UPLO, const int& n, const int& nrhs, const float* A, const int& lda, float* B, const int& ldb, int* info) const;
1315 void POTRI(const char& UPLO, const int& n, float* A, const int& lda, int* info) const;
1316 void POCON(const char& UPLO, const int& n, const float* A, const int& lda, const float& anorm, float* rcond, float* WORK, int* IWORK, int* info) const;
1317 void POSV(const char& UPLO, const int& n, const int& nrhs, float* A, const int& lda, float* B, const int& ldb, int* info) const;
1318 void POEQU(const int& n, const float* A, const int& lda, float* S, float* scond, float* amax, int* info) const;
1319 void PORFS(const char& UPLO, const int& n, const int& nrhs, const float* A, const int& lda, const float* AF, const int& ldaf, const float* B, const int& ldb, float* X, const int& ldx, float* FERR, float* BERR, float* WORK, int* IWORK, int* info) const;
1320
1321 void POSVX(const char& FACT, const char& UPLO, const int& n, const int& nrhs, float* A, const int& lda, float* AF, const int& ldaf, char* EQUED, float* S, float* B, const int& ldb, float* X, const int& ldx, float* rcond, float* FERR, float* BERR, float* WORK, int* IWORK, int* info) const;
1322
1323 // General Linear System Routines
1324 void GELS(const char& TRANS, const int& m, const int& n, const int& nrhs, float* A, const int& lda, float* B, const int& ldb, float* WORK, const int& lwork, int* info) const;
1325 void GELSS(const int& m, const int& n, const int& nrhs, float* A, const int& lda, float* B, const int& ldb, float* S, const float& rcond, int* rank, float* WORK, const int& lwork, float* RWORK, int* info) const;
1326 void GELSS(const int& m, const int& n, const int& nrhs, float* A, const int& lda, float* B, const int& ldb, float* S, const float& rcond, int* rank, float* WORK, const int& lwork, int* info) const;
1327 void GGLSE(const int& m, const int& n, const int& p, float* A, const int& lda, float* B, const int& ldb, float* C, float* D, float* X, float* WORK, const int& lwork, int* info) const;
1328 void GEQRF(const int& m, const int& n, float* A, const int& lda, float* TAU, float* WORK, const int& lwork, int* info) const;
1329 void GEQR2(const int& m, const int& n, float* A, const int& lda, float* TAU, float* WORK, int* const info) const;
1330
1331 void GETRF(const int& m, const int& n, float* A, const int& lda, int* IPIV, int* info) const;
1332 void GETRS(const char& TRANS, const int& n, const int& nrhs, const float* A, const int& lda, const int* IPIV, float* B, const int& ldb, int* info) const;
1333 void LASCL(const char& TYPE, const int& kl, const int& ku, const float& cfrom, const float& cto, const int& m, const int& n, float* A, const int& lda, int* info) const;
1334
1335 void GEQP3 (const int& m, const int& n, float* A, const int& lda, int* jpvt, float* TAU, float* WORK, const int& lwork, float* RWORK, int* info) const;
1336 void LASWP (const int& N, float* A, const int& LDA, const int& K1, const int& K2, const int* IPIV, const int& INCX) const;
1337
1338 void GBTRF(const int& m, const int& n, const int& kl, const int& ku, float* A, const int& lda, int* IPIV, int* info) const;
1339 void GBTRS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const float* A, const int& lda, const int* IPIV, float* B, const int& ldb, int* info) const;
1340 void GTTRF(const int& n, float* dl, float* d, float* du, float* du2, int* IPIV, int* info) const;
1341 void GTTRS(const char& TRANS, const int& n, const int& nrhs, const float* dl, const float* d, const float* du, const float* du2, const int* IPIV, float* B, const int& ldb, int* info) const;
1342
1343
1344 void GETRI(const int& n, float* A, const int& lda, const int* IPIV, float* WORK, const int& lwork, int* info) const;
1345 void LATRS (const char& UPLO, const char& TRANS, const char& DIAG, const char& NORMIN, const int& N, const float* A, const int& LDA, float* X, float* SCALE, float* CNORM, int* INFO) const;
1346 void GECON(const char& NORM, const int& n, const float* A, const int& lda, const float& anorm, float* rcond, float* WORK, int* IWORK, int* info) const;
1347 void GBCON(const char& NORM, const int& n, const int& kl, const int& ku, const float* A, const int& lda, const int* IPIV, const float& anorm, float* rcond, float* WORK, int* IWORK, int* info) const;
1348 float LANGB(const char& NORM, const int& n, const int& kl, const int& ku, const float* A, const int& lda, float* WORK) const;
1349 void GESV(const int& n, const int& nrhs, float* A, const int& lda, int* IPIV, float* B, const int& ldb, int* info) const;
1350 void GEEQU(const int& m, const int& n, const float* A, const int& lda, float* R, float* C, float* rowcond, float* colcond, float* amax, int* info) const;
1351 void GERFS(const char& TRANS, const int& n, const int& nrhs, const float* A, const int& lda, const float* AF, const int& ldaf, const int* IPIV, const float* B, const int& ldb, float* X, const int& ldx, float* FERR, float* BERR, float* WORK, int* IWORK, int* info) const;
1352 void GBEQU(const int& m, const int& n, const int& kl, const int& ku, const float* A, const int& lda, float* R, float* C, float* rowcond, float* colcond, float* amax, int* info) const;
1353 void GBRFS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const float* A, const int& lda, const float* AF, const int& ldaf, const int* IPIV, const float* B, const int& ldb, float* X, const int& ldx, float* FERR, float* BERR, float* WORK, int* IWORK, int* info) const;
1354
1355 void GESVX(const char& FACT, const char& TRANS, const int& n, const int& nrhs, float* A, const int& lda, float* AF, const int& ldaf, int* IPIV, char* EQUED, float* R, float* C, float* B, const int& ldb, float* X, const int& ldx, float* rcond, float* FERR, float* BERR, float* WORK, int* IWORK, int* info) const;
1356
1357 void SYTRD(const char& UPLO, const int& n, float* A, const int& lda, float* D, float* E, float* TAU, float* WORK, const int& lwork, int* info) const;
1358 void GEHRD(const int& n, const int& ilo, const int& ihi, float* A, const int& lda, float* TAU, float* WORK, const int& lwork, int* info) const;
1359 void TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const int& n, const int& nrhs, const float* A, const int& lda, float* B, const int& ldb, int* info) const;
1360 void TRTRI(const char& UPLO, const char& DIAG, const int& n, float* A, const int& lda, int* info) const;
1361
1362 // Symmetric eigenvalue routines.
1363 void STEQR(const char& COMPZ, const int& n, float* D, float* E, float* Z, const int& ldz, float* WORK, int* info) const;
1364 void PTEQR(const char& COMPZ, const int& n, float* D, float* E, float* Z, const int& ldz, float* WORK, int* info) const;
1365 void SPEV(const char& JOBZ, const char& UPLO, const int& n, float* AP, float* W, float* Z, const int& ldz, float* WORK, int* info) const;
1366 void SYEV(const char& JOBZ, const char& UPLO, const int& n, float* A, const int& lda, float* W, float* WORK, const int& lwork, int* info) const;
1367 void SYGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, float* A, const int& lda, float* B, const int& ldb, float* W, float* WORK, const int& lwork, int* info) const;
1368 void HEEV(const char& JOBZ, const char& UPLO, const int& n, float* A, const int& lda, float* W, float* WORK, const int& lwork, float* RWORK, int* info) const;
1369 void HEGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, float* A, const int& lda, float* B, const int& ldb, float* W, float* WORK, const int& lwork, float* RWORK, int* info) const;
1370
1371 // Non-Hermitian eigenvalue routines.
1372 void HSEQR(const char& JOB, const char& COMPZ, const int& n, const int& ilo, const int& ihi, float* H, const int& ldh, float* WR, float* WI, float* Z, const int& ldz, float* WORK, const int& lwork, int* info) const;
1373 void GEES(const char& JOBVS, const char& SORT, int (*ptr2func)(float*, float*), const int& n, float* A, const int& lda, int* sdim, float* WR, float* WI, float* VS, const int& ldvs, float* WORK, const int& lwork, int* BWORK, int* info) const;
1374 void GEES(const char& JOBVS, const int& n, float* A, const int& lda, int* sdim, float* WR, float* WI, float* VS, const int& ldvs, float* WORK, const int& lwork, float* RWORK, int* BWORK, int* info) const;
1375
1376 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, float* A, const int& lda, float* WR, float* WI, float* VL, const int& ldvl, float* VR, const int& ldvr, float* WORK, const int& lwork, int* info) const;
1377 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, float* A, const int& lda, float* WR, float* WI, float* VL, const int& ldvl, float* VR, const int& ldvr, float* WORK, const int& lwork, float* rwork, int* info) const;
1378
1379 void GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, float* A, const int& lda, float* WR, float* WI, float* VL, const int& ldvl, float* VR, const int& ldvr, int* ilo, int* ihi, float* SCALE, float* abnrm, float* RCONDE, float* RCONDV, float* WORK, const int& lwork, int* IWORK, int* info) const;
1380 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, float* A, const int& lda, float* B, const int& ldb, float* ALPHAR, float* ALPHAI, float* BETA, float* VL, const int& ldvl, float* VR, const int& ldvr, int* ilo, int* ihi, float* lscale, float* rscale, float* abnrm, float* bbnrm, float* RCONDE, float* RCONDV, float* WORK, const int& lwork, int* IWORK, int* BWORK, int* info) const;
1381 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, float* A, const int& lda, float* B, const int& ldb, float* ALPHAR, float* ALPHAI, float* BETA, float* VL, const int& ldvl, float* VR, const int& ldvr, int* ilo, int* ihi, float* lscale, float* rscale, float* abnrm, float* bbnrm, float* RCONDE, float* RCONDV, float* WORK, const int& lwork, float* rwork, int* IWORK, int* BWORK, int* info) const;
1382 void GGEV(const char& JOBVL, const char& JOBVR, const int& n, float* A, const int& lda, float* B, const int& ldb, float* ALPHAR, float* ALPHAI, float* BETA, float* VL, const int& ldvl, float* VR, const int& ldvr, float* WORK, const int& lwork, int* info) const;
1383 void TRSEN(const char& JOB, const char& COMPQ, const int* SELECT, const int& n, float* T, const int& ldt, float* Q, const int& ldq, float* WR, float* WI, int* M, float* S, float* SEP, float* WORK, const int& lwork, int* IWORK, const int& liwork, int* info ) const;
1384 void TGSEN(const int& ijob, const int& wantq, const int& wantz, const int* SELECT, const int& n, float* A, const int& lda, float* B, const int& ldb, float* ALPHAR, float* ALPHAI, float* BETA, float* Q, const int& ldq, float* Z, const int& ldz, int* M, float* PL, float* PR, float* DIF, float* WORK, const int& lwork, int* IWORK, const int& liwork, int* info ) const;
1385 void GGES(const char& JOBVL, const char& JOBVR, const char& SORT, int (*ptr2func)(float*, float*, float*), const int& n, float* A, const int& lda, float* B, const int& ldb, int* sdim, float* ALPHAR, float* ALPHAI, float* BETA, float* VL, const int& ldvl, float* VR, const int& ldvr, float* WORK, const int& lwork, int* bwork, int* info ) const;
1386
1387 // SVD routine
1388 void GESVD(const char& JOBU, const char& JOBVT, const int& m, const int& n, float* A, const int& lda, float* S, float* U, const int& ldu, float* V, const int& ldv, float* WORK, const int& lwork, float* RWORK, int* info) const;
1389
1390 // Orthogonal matrix routines.
1391 void ORMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const float* A, const int& lda, const float* TAU, float* C, const int& ldc, float* WORK, const int& lwork, int* info) const;
1392 void ORM2R(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const float* A, const int& lda, const float* TAU, float* C, const int& ldc, float* WORK, int* const info) const;
1393 void UNMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const float* A, const int& lda, const float* TAU, float* C, const int& ldc, float* WORK, const int& lwork, int* info) const;
1394 void UNM2R(const char& SIDE, const char& TRANS, const int& M, const int& N, const int& K, const float* A, const int& LDA, const float* TAU, float* C, const int& LDC, float* WORK, int* const INFO) const;
1395 void ORGQR(const int& m, const int& n, const int& k, float* A, const int& lda, const float* TAU, float* WORK, const int& lwork, int* info) const;
1396 void UNGQR(const int& m, const int& n, const int& k, float* A, const int& lda, const float* TAU, float* WORK, const int& lwork, int* info) const;
1397 void ORGHR(const int& n, const int& ilo, const int& ihi, float* A, const int& lda, const float* TAU, float* WORK, const int& lwork, int* info) const;
1398 void ORMHR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& ilo, const int& ihi, const float* A, const int& lda, const float* TAU, float* C, const int& ldc, float* WORK, const int& lwork, int* info) const;
1399
1400 // Triangular matrix routines.
1401 void TREVC(const char& SIDE, const char& HOWMNY, int* select, const int& n, const float* T, const int& ldt, float* VL, const int& ldvl, float* VR, const int& ldvr, const int& mm, int* m, float* WORK, int* info) const;
1402 void TREVC(const char& SIDE, const int& n, const float* T, const int& ldt, float* VL, const int& ldvl, float* VR, const int& ldvr, const int& mm, int* m, float* WORK, float* RWORK, int* info) const;
1403
1404 void TREXC(const char& COMPQ, const int& n, float* T, const int& ldt, float* Q, const int& ldq, int* ifst, int* ilst, float* WORK, int* info) const;
1405
1406 void TGEVC(const char& SIDE, const char& HOWMNY, const int* SELECT, const int& n, const float* S, const int& lds, const float* P, const int& ldp, float* VL, const int& ldvl, float* VR, const int& ldvr, const int& mm, int* M, float* WORK, int* info) const;
1407
1408 // Rotation/reflection generators
1409 void LARTG( const float& f, const float& g, float* c, float* s, float* r ) const;
1410 void LARFG( const int& n, float* alpha, float* x, const int& incx, float* tau ) const;
1411
1412 // Matrix balancing routines.
1413
1414 void GEBAL(const char& JOBZ, const int& n, float* A, const int& lda, int* ilo, int* ihi, float* scale, int* info) const;
1415
1416 void GEBAK(const char& JOBZ, const char& SIDE, const int& n, const int& ilo, const int& ihi, const float* scale, const int& m, float* V, const int& ldv, int* info) const;
1417
1418 // Random number generators
1419 float LARND( const int& idist, int* seed ) const;
1420 void LARNV( const int& idist, int* seed, const int& n, float* v ) const;
1421
1422 // Machine characteristics.
1423 float LAMCH(const char& CMACH) const;
1424 int ILAENV( const int& ispec, const std::string& NAME, const std::string& OPTS, const int& N1 = -1, const int& N2 = -1, const int& N3 = -1, const int& N4 = -1 ) const;
1425
1426 // Miscellaneous routines.
1427 float LAPY2(const float& x, const float& y) const;
1428
1429 };
1430
1431 // END INT, FLOAT SPECIALIZATION DECLARATION //
1432
1433 // BEGIN INT, DOUBLE SPECIALIZATION DECLARATION //
1434
1435 template<>
1436 class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, double>
1437 {
1438 public:
1439 inline LAPACK(void) {}
1440 inline LAPACK(const LAPACK<int, double>& /*lapack*/) {}
1441 inline virtual ~LAPACK(void) {}
1442
1443 // Symmetric positive definite linear system routines
1444 void PTTRF(const int& n, double* d, double* e, int* info) const;
1445 void PTTRS(const int& n, const int& nrhs, const double* d, const double* e, double* B, const int& ldb, int* info) const;
1446 void POTRF(const char& UPLO, const int& n, double* A, const int& lda, int* info) const;
1447 void POTRS(const char& UPLO, const int& n, const int& nrhs, const double* A, const int& lda, double* B, const int& ldb, int* info) const;
1448 void POTRI(const char& UPLO, const int& n, double* A, const int& lda, int* info) const;
1449 void POCON(const char& UPLO, const int& n, const double* A, const int& lda, const double& anorm, double* rcond, double* WORK, int* IWORK, int* info) const;
1450 void POSV(const char& UPLO, const int& n, const int& nrhs, double* A, const int& lda, double* B, const int& ldb, int* info) const;
1451 void POEQU(const int& n, const double* A, const int& lda, double* S, double* scond, double* amax, int* info) const;
1452 void PORFS(const char& UPLO, const int& n, const int& nrhs, const double* A, const int& lda, const double* AF, const int& ldaf, const double* B, const int& ldb, double* X, const int& ldx, double* FERR, double* BERR, double* WORK, int* IWORK, int* info) const;
1453
1454 void POSVX(const char& FACT, const char& UPLO, const int& n, const int& nrhs, double* A, const int& lda, double* AF, const int& ldaf, char* EQUED, double* S, double* B, const int& ldb, double* X, const int& ldx, double* rcond, double* FERR, double* BERR, double* WORK, int* IWORK, int* info) const;
1455
1456 // General linear system routines
1457 void GELS(const char& TRANS, const int& m, const int& n, const int& nrhs, double* A, const int& lda, double* B, const int& ldb, double* WORK, const int& lwork, int* info) const;
1458 void GELSS(const int& m, const int& n, const int& nrhs, double* A, const int& lda, double* B, const int& ldb, double* S, const double& rcond, int* rank, double* WORK, const int& lwork, double* RWORK, int* info) const;
1459 void GELSS(const int& m, const int& n, const int& nrhs, double* A, const int& lda, double* B, const int& ldb, double* S, const double& rcond, int* rank, double* WORK, const int& lwork, int* info) const;
1460 void GGLSE(const int& m, const int& n, const int& p, double* A, const int& lda, double* B, const int& ldb, double* C, double* D, double* X, double* WORK, const int& lwork, int* info) const;
1461 void GEQRF(const int& m, const int& n, double* A, const int& lda, double* TAU, double* WORK, const int& lwork, int* info) const;
1462 void GEQR2(const int& m, const int& n, double* A, const int& lda, double* TAU, double* WORK, int* const info) const;
1463 void GETRF(const int& m, const int& n, double* A, const int& lda, int* IPIV, int* info) const;
1464 void GETRS(const char& TRANS, const int& n, const int& nrhs, const double* A, const int& lda, const int* IPIV, double* B, const int& ldb, int* info) const;
1465 void LASCL(const char& TYPE, const int& kl, const int& ku, const double& cfrom, const double& cto, const int& m, const int& n, double* A, const int& lda, int* info) const;
1466
1467 void GEQP3 (const int& m, const int& n, double* A, const int& lda, int* jpvt, double* TAU, double* WORK, const int& lwork, double* RWORK, int* info) const;
1468 void LASWP (const int& N, double* A, const int& LDA, const int& K1, const int& K2, const int* IPIV, const int& INCX) const;
1469
1470 void GBTRF(const int& m, const int& n, const int& kl, const int& ku, double* A, const int& lda, int* IPIV, int* info) const;
1471 void GBTRS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const double* A, const int& lda, const int* IPIV, double* B, const int& ldb, int* info) const;
1472 void GTTRF(const int& n, double* dl, double* d, double* du, double* du2, int* IPIV, int* info) const;
1473 void GTTRS(const char& TRANS, const int& n, const int& nrhs, const double* dl, const double* d, const double* du, const double* du2, const int* IPIV, double* B, const int& ldb, int* info) const;
1474 void GETRI(const int& n, double* A, const int& lda, const int* IPIV, double* WORK, const int& lwork, int* info) const;
1475 void LATRS (const char& UPLO, const char& TRANS, const char& DIAG, const char& NORMIN, const int& N, const double* A, const int& LDA, double* X, double* SCALE, double* CNORM, int* INFO) const;
1476 void GECON(const char& NORM, const int& n, const double* A, const int& lda, const double& anorm, double* rcond, double* WORK, int* IWORK, int* info) const;
1477 void GBCON(const char& NORM, const int& n, const int& kl, const int& ku, const double* A, const int& lda, const int* IPIV, const double& anorm, double* rcond, double* WORK, int* IWORK, int* info) const;
1478 double LANGB(const char& NORM, const int& n, const int& kl, const int& ku, const double* A, const int& lda, double* WORK) const;
1479 void GESV(const int& n, const int& nrhs, double* A, const int& lda, int* IPIV, double* B, const int& ldb, int* info) const;
1480 void GEEQU(const int& m, const int& n, const double* A, const int& lda, double* R, double* C, double* rowcond, double* colcond, double* amax, int* info) const;
1481 void GERFS(const char& TRANS, const int& n, const int& nrhs, const double* A, const int& lda, const double* AF, const int& ldaf, const int* IPIV, const double* B, const int& ldb, double* X, const int& ldx, double* FERR, double* BERR, double* WORK, int* IWORK, int* info) const;
1482 void GBEQU(const int& m, const int& n, const int& kl, const int& ku, const double* A, const int& lda, double* R, double* C, double* rowcond, double* colcond, double* amax, int* info) const;
1483 void GBRFS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const double* A, const int& lda, const double* AF, const int& ldaf, const int* IPIV, const double* B, const int& ldb, double* X, const int& ldx, double* FERR, double* BERR, double* WORK, int* IWORK, int* info) const;
1484
1485 void GESVX(const char& FACT, const char& TRANS, const int& n, const int& nrhs, double* A, const int& lda, double* AF, const int& ldaf, int* IPIV, char* EQUED, double* R, double* C, double* B, const int& ldb, double* X, const int& ldx, double* rcond, double* FERR, double* BERR, double* WORK, int* IWORK, int* info) const;
1486
1487 void SYTRD(const char& UPLO, const int& n, double* A, const int& lda, double* D, double* E, double* TAU, double* WORK, const int& lwork, int* info) const;
1488 void GEHRD(const int& n, const int& ilo, const int& ihi, double* A, const int& lda, double* TAU, double* WORK, const int& lwork, int* info) const;
1489 void TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const int& n, const int& nrhs, const double* A, const int& lda, double* B, const int& ldb, int* info) const;
1490 void TRTRI(const char& UPLO, const char& DIAG, const int& n, double* A, const int& lda, int* info) const;
1491
1492 // Symmetric eigenproblem routines.
1493 void STEQR(const char& COMPZ, const int& n, double* D, double* E, double* Z, const int& ldz, double* WORK, int* info) const;
1494 void PTEQR(const char& COMPZ, const int& n, double* D, double* E, double* Z, const int& ldz, double* WORK, int* info) const;
1495 void SPEV(const char& JOBZ, const char& UPLO, const int& n, double* AP, double* W, double* Z, const int& ldz, double* WORK, int* info) const;
1496 void SYEV(const char& JOBZ, const char& UPLO, const int& n, double* A, const int& lda, double* W, double* WORK, const int& lwork, int* info) const;
1497 void SYGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, double* A, const int& lda, double* B, const int& ldb, double* W, double* WORK, const int& lwork, int* info) const;
1498 void HEEV(const char& JOBZ, const char& UPLO, const int& n, double* A, const int& lda, double* W, double* WORK, const int& lwork, double* RWORK, int* info) const;
1499 void HEGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, double* A, const int& lda, double* B, const int& ldb, double* W, double* WORK, const int& lwork, double* RWORK, int* info) const;
1500
1501 // Non-Hermitian eigenproblem routines.
1502 void HSEQR(const char& JOB, const char& COMPZ, const int& n, const int& ilo, const int& ihi, double* H, const int& ldh, double* WR, double* WI, double* Z, const int& ldz, double* WORK, const int& lwork, int* info) const;
1503 void GEES(const char& JOBVS, const char& SORT, int (*ptr2func)(double*, double*), const int& n, double* A, const int& lda, int* sdim, double* WR, double* WI, double* VS, const int& ldvs, double* WORK, const int& lwork, int* BWORK, int* info) const;
1504 void GEES(const char& JOBVS, const int& n, double* A, const int& lda, int* sdim, double* WR, double* WI, double* VS, const int& ldvs, double* WORK, const int& lwork, double* RWORK, int* BWORK, int* info) const;
1505
1506 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, double* A, const int& lda, double* WR, double* WI, double* VL, const int& ldvl, double* VR, const int& ldvr, double* WORK, const int& lwork, int* info) const;
1507 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, double* A, const int& lda, double* WR, double* WI, double* VL, const int& ldvl, double* VR, const int& ldvr, double* WORK, const int& lwork, double* RWORK, int* info) const;
1508
1509 void GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, double* A, const int& lda, double* WR, double* WI, double* VL, const int& ldvl, double* VR, const int& ldvr, int* ilo, int* ihi, double* SCALE, double* abnrm, double* RCONDE, double* RCONDV, double* WORK, const int& lwork, int* IWORK, int* info) const;
1510 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, double* A, const int& lda, double* B, const int& ldb, double* ALPHAR, double* ALPHAI, double* BETA, double* VL, const int& ldvl, double* VR, const int& ldvr, int* ilo, int* ihi, double* lscale, double* rscale, double* abnrm, double* bbnrm, double* RCONDE, double* RCONDV, double* WORK, const int& lwork, int* IWORK, int* BWORK, int* info) const;
1511 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, double* A, const int& lda, double* B, const int& ldb, double* ALPHAR, double* ALPHAI, double* BETA, double* VL, const int& ldvl, double* VR, const int& ldvr, int* ilo, int* ihi, double* lscale, double* rscale, double* abnrm, double* bbnrm, double* RCONDE, double* RCONDV, double* WORK, const int& lwork, double* rwork, int* IWORK, int* BWORK, int* info) const;
1512 void GGEV(const char& JOBVL, const char& JOBVR, const int& n, double* A, const int& lda, double* B, const int& ldb, double* ALPHAR, double* ALPHAI, double* BETA, double* VL, const int& ldvl, double* VR, const int& ldvr, double* WORK, const int& lwork, int* info) const;
1513 void TRSEN(const char& JOB, const char& COMPQ, const int* SELECT, const int& n, double* T, const int& ldt, double* Q, const int& ldq, double* WR, double* WI, int* M, double* S, double* SEP, double* WORK, const int& lwork, int* IWORK, const int& liwork, int* info ) const;
1514 void TGSEN(const int& ijob, const int& wantq, const int& wantz, const int* SELECT, const int& n, double* A, const int& lda, double* B, const int& ldb, double* ALPHAR, double* ALPHAI, double* BETA, double* Q, const int& ldq, double* Z, const int& ldz, int* M, double* PL, double* PR, double* DIF, double* WORK, const int& lwork, int* IWORK, const int& liwork, int* info ) const;
1515 void GGES(const char& JOBVL, const char& JOBVR, const char& SORT, int (*ptr2func)(double*, double*, double*), const int& n, double* A, const int& lda, double* B, const int& ldb, int* sdim, double* ALPHAR, double* ALPHAI, double* BETA, double* VL, const int& ldvl, double* VR, const int& ldvr, double* WORK, const int& lwork, int* bwork, int* info ) const;
1516
1517
1518 // SVD routine
1519 void GESVD(const char& JOBU, const char& JOBVT, const int& m, const int& n, double* A, const int& lda, double* S, double* U, const int& ldu, double* V, const int& ldv, double* WORK, const int& lwork, double* RWORK, int* info) const;
1520
1521 // Orthogonal matrix routines.
1522 void ORMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const double* A, const int& lda, const double* TAU, double* C, const int& ldc, double* WORK, const int& lwork, int* info) const;
1523 void ORM2R(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const double* A, const int& lda, const double* TAU, double* C, const int& ldc, double* WORK, int* const info) const;
1524 void UNMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const double* A, const int& lda, const double* TAU, double* C, const int& ldc, double* WORK, const int& lwork, int* info) const;
1525 void UNM2R(const char& SIDE, const char& TRANS, const int& M, const int& N, const int& K, const double* A, const int& LDA, const double* TAU, double* C, const int& LDC, double* WORK, int* const INFO) const;
1526 void ORGQR(const int& m, const int& n, const int& k, double* A, const int& lda, const double* TAU, double* WORK, const int& lwork, int* info) const;
1527 void UNGQR(const int& m, const int& n, const int& k, double* A, const int& lda, const double* TAU, double* WORK, const int& lwork, int* info) const;
1528 void ORGHR(const int& n, const int& ilo, const int& ihi, double* A, const int& lda, const double* TAU, double* WORK, const int& lwork, int* info) const;
1529 void ORMHR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& ilo, const int& ihi, const double* A, const int& lda, const double* TAU, double* C, const int& ldc, double* WORK, const int& lwork, int* info) const;
1530
1531 // Triangular matrix routines.
1532 void TREVC(const char& SIDE, const char& HOWMNY, int* select, const int& n, const double* T, const int& ldt, double* VL, const int& ldvl, double* VR, const int& ldvr, const int& mm, int* m, double* WORK, int* info) const;
1533 void TREVC(const char& SIDE, const int& n, const double* T, const int& ldt, double* VL, const int& ldvl, double* VR, const int& ldvr, const int& mm, int* m, double* WORK, double* RWORK, int* info) const;
1534
1535 void TREXC(const char& COMPQ, const int& n, double* T, const int& ldt, double* Q, const int& ldq, int* ifst, int* ilst, double* WORK, int* info) const;
1536
1537 void TGEVC(const char& SIDE, const char& HOWMNY, const int* SELECT, const int& n, const double* S, const int& lds, const double* P, const int& ldp, double* VL, const int& ldvl, double* VR, const int& ldvr, const int& mm, int* M, double* WORK, int* info) const;
1538
1539 // Rotation/reflection generators
1540 void LARTG( const double& f, const double& g, double* c, double* s, double* r ) const;
1541 void LARFG( const int& n, double* alpha, double* x, const int& incx, double* tau ) const;
1542
1543 // Matrix balancing routines.
1544
1545 void GEBAL(const char& JOBZ, const int& n, double* A, const int& lda, int* ilo, int* ihi, double* scale, int* info) const;
1546
1547 void GEBAK(const char& JOBZ, const char& SIDE, const int& n, const int& ilo, const int& ihi, const double* scale, const int& m, double* V, const int& ldv, int* info) const;
1548
1549 // Random number generators
1550 double LARND( const int& idist, int* seed ) const;
1551 void LARNV( const int& idist, int* seed, const int& n, double* v ) const;
1552
1553 // Machine characteristic routines.
1554 double LAMCH(const char& CMACH) const;
1555 int ILAENV( const int& ispec, const std::string& NAME, const std::string& OPTS, const int& N1 = -1, const int& N2 = -1, const int& N3 = -1, const int& N4 = -1 ) const;
1556
1557 // Miscellaneous routines.
1558 double LAPY2(const double& x, const double& y) const;
1559
1560 };
1561
1562 // END INT, DOUBLE SPECIALIZATION DECLARATION //
1563
1564#ifdef HAVE_TEUCHOS_COMPLEX
1565
1566 // BEGIN INT, COMPLEX<FLOAT> SPECIALIZATION DECLARATION //
1567
1568 template<>
1569 class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, std::complex<float> >
1570 {
1571 public:
1572 inline LAPACK(void) {}
1573 inline LAPACK(const LAPACK<int, std::complex<float> >& lapack) {}
1574 inline virtual ~LAPACK(void) {}
1575
1576 // Symmetric positive definite linear system routines
1577 void PTTRF(const int& n, float* d, std::complex<float>* e, int* info) const;
1578 void PTTRS(const char& UPLO, const int& n, const int& nrhs, const float* d, const std::complex<float>* e, std::complex<float>* B, const int& ldb, int* info) const;
1579 void POTRF(const char& UPLO, const int& n, std::complex<float>* A, const int& lda, int* info) const;
1580 void POTRS(const char& UPLO, const int& n, const int& nrhs, const std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, int* info) const;
1581 void POTRI(const char& UPLO, const int& n, std::complex<float>* A, const int& lda, int* info) const;
1582 void POCON(const char& UPLO, const int& n, const std::complex<float>* A, const int& lda, const float& anorm, float* rcond, std::complex<float>* WORK, float* rwork, int* info) const;
1583 void POSV(const char& UPLO, const int& n, const int& nrhs, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, int* info) const;
1584 void POEQU(const int& n, const std::complex<float>* A, const int& lda, float* S, float* scond, float* amax, int* info) const;
1585 void PORFS(const char& UPLO, const int& n, const int& nrhs, const std::complex<float>* A, const int& lda, const std::complex<float>* AF, const int& ldaf, const std::complex<float>* B, const int& ldb, std::complex<float>* X, const int& ldx, float* FERR, float* BERR, std::complex<float>* WORK, float* RWORK, int* info) const;
1586
1587 void POSVX(const char& FACT, const char& UPLO, const int& n, const int& nrhs, std::complex<float>* A, const int& lda, std::complex<float>* AF, const int& ldaf, char* EQUED, float* S, std::complex<float>* B, const int& ldb, std::complex<float>* X, const int& ldx, float* rcond, float* FERR, float* BERR, std::complex<float>* WORK, float* RWORK, int* info) const;
1588
1589 // General Linear System Routines
1590 void GELS(const char& TRANS, const int& m, const int& n, const int& nrhs, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, std::complex<float>* WORK, const int& lwork, int* info) const;
1591 void GELSS(const int& m, const int& n, const int& nrhs, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, float* S, const float& rcond, int* rank, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
1592 void GEQRF(const int& m, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* TAU, std::complex<float>* WORK, const int& lwork, int* info) const;
1593 void GEQR2(const int& m, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* TAU, std::complex<float>* WORK, int* const info) const;
1594 void UNGQR(const int& m, const int& n, const int& k, std::complex<float>* A, const int& lda, const std::complex<float>* TAU, std::complex<float>* WORK, const int& lwork, int* info) const;
1595 void UNMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const std::complex<float>* A, const int& lda, const std::complex<float>* TAU, std::complex<float>* C, const int& ldc, std::complex<float>* WORK, const int& lwork, int* info) const;
1596 void UNM2R(const char& SIDE, const char& TRANS, const int& M, const int& N, const int& K, const std::complex<float>* A, const int& LDA, const std::complex<float>* TAU, std::complex<float>* C, const int& LDC, std::complex<float>* WORK, int* const INFO) const;
1597 void GETRF(const int& m, const int& n, std::complex<float>* A, const int& lda, int* IPIV, int* info) const;
1598 void GETRS(const char& TRANS, const int& n, const int& nrhs, const std::complex<float>* A, const int& lda, const int* IPIV, std::complex<float>* B, const int& ldb, int* info) const;
1599 void LASCL(const char& TYPE, const int& kl, const int& ku, const float& cfrom, const float& cto, const int& m, const int& n, std::complex<float>* A, const int& lda, int* info) const;
1600
1601 void GEQP3 (const int& m, const int& n, std::complex<float>* A, const int& lda, int* jpvt, std::complex<float>* TAU, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
1602 void LASWP (const int& N, std::complex<float>* A, const int& LDA, const int& K1, const int& K2, const int* IPIV, const int& INCX) const;
1603
1604 void GBTRF(const int& m, const int& n, const int& kl, const int& ku, std::complex<float>* A, const int& lda, int* IPIV, int* info) const;
1605 void GBTRS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const std::complex<float>* A, const int& lda, const int* IPIV, std::complex<float>* B, const int& ldb, int* info) const;
1606 void GTTRF(const int& n, std::complex<float>* dl, std::complex<float>* d, std::complex<float>* du, std::complex<float>* du2, int* IPIV, int* info) const;
1607 void GTTRS(const char& TRANS, const int& n, const int& nrhs, const std::complex<float>* dl, const std::complex<float>* d, const std::complex<float>* du, const std::complex<float>* du2, const int* IPIV, std::complex<float>* B, const int& ldb, int* info) const;
1608 void GETRI(const int& n, std::complex<float>* A, const int& lda, const int* IPIV, std::complex<float>* WORK, const int& lwork, int* info) const;
1609 void LATRS (const char& UPLO, const char& TRANS, const char& DIAG, const char& NORMIN, const int& N, const std::complex<float>* A, const int& LDA, std::complex<float>* X, float* SCALE, float* CNORM, int* INFO) const;
1610 void GECON(const char& NORM, const int& n, const std::complex<float>* A, const int& lda, const float& anorm, float* rcond, std::complex<float>* WORK, float* RWORK, int* info) const;
1611 void GBCON(const char& NORM, const int& n, const int& kl, const int& ku, const std::complex<float>* A, const int& lda, const int* IPIV, const float& anorm, float* rcond, std::complex<float>* WORK, float* RWORK, int* info) const;
1612 float LANGB(const char& NORM, const int& n, const int& kl, const int& ku, const std::complex<float>* A, const int& lda, float* WORK) const;
1613 void GESV(const int& n, const int& nrhs, std::complex<float>* A, const int& lda, int* IPIV, std::complex<float>* B, const int& ldb, int* info) const;
1614 void GEEQU(const int& m, const int& n, const std::complex<float>* A, const int& lda, float* R, float* C, float* rowcond, float* colcond, float* amax, int* info) const;
1615 void GERFS(const char& TRANS, const int& n, const int& nrhs, const std::complex<float>* A, const int& lda, const std::complex<float>* AF, const int& ldaf, const int* IPIV, const std::complex<float>* B, const int& ldb, std::complex<float>* X, const int& ldx, float* FERR, float* BERR, std::complex<float>* WORK, float* RWORK, int* info) const;
1616 void GBEQU(const int& m, const int& n, const int& kl, const int& ku, const std::complex<float>* A, const int& lda, float* R, float* C, float* rowcond, float* colcond, float* amax, int* info) const;
1617 void GBRFS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const std::complex<float>* A, const int& lda, const std::complex<float>* AF, const int& ldaf, const int* IPIV, const std::complex<float>* B, const int& ldb, std::complex<float>* X, const int& ldx, float* FERR, float* BERR, std::complex<float>* WORK, float* RWORK, int* info) const;
1618
1619 void GESVX(const char& FACT, const char& TRANS, const int& n, const int& nrhs, std::complex<float>* A, const int& lda, std::complex<float>* AF, const int& ldaf, int* IPIV, char* EQUED, float* R, float* C, std::complex<float>* B, const int& ldb, std::complex<float>* X, const int& ldx, float* rcond, float* FERR, float* BERR, std::complex<float>* WORK, float* RWORK, int* info) const;
1620
1621 void GEHRD(const int& n, const int& ilo, const int& ihi, std::complex<float>* A, const int& lda, std::complex<float>* TAU, std::complex<float>* WORK, const int& lwork, int* info) const;
1622 void TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const int& n, const int& nrhs, const std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, int* info) const;
1623 void TRTRI(const char& UPLO, const char& DIAG, const int& n, std::complex<float>* A, const int& lda, int* info) const;
1624
1625 // Symmetric eigenvalue routines.
1626 void STEQR(const char& COMPZ, const int& n, float* D, float* E, std::complex<float>* Z, const int& ldz, float* WORK, int* info) const;
1627 void PTEQR(const char& COMPZ, const int& n, float* D, float* E, std::complex<float>* Z, const int& ldz, float* WORK, int* info) const;
1628 void HEEV(const char& JOBZ, const char& UPLO, const int& n, std::complex<float>* A, const int& lda, float* W, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
1629 void HEGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, float* W, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
1630
1631 // Non-Hermitian eigenvalue routines.
1632 void HSEQR(const char& JOB, const char& COMPZ, const int& n, const int& ilo, const int& ihi, std::complex<float>* H, const int& ldh, std::complex<float>* W, std::complex<float>* Z, const int& ldz, std::complex<float>* WORK, const int& lwork, int* info) const;
1633 void GEES(const char& JOBVS, const char& SORT, int (*ptr2func)(std::complex<float>*), const int& n, std::complex<float>* A, const int& lda, int* sdim, std::complex<float>* W, std::complex<float>* VS, const int& ldvs, std::complex<float>* WORK, const int& lwork, float* RWORK, int* BWORK, int* info) const;
1634 void GEES(const char& JOBVS, const int& n, std::complex<float>* A, const int& lda, int* sdim, float* WR, float* WI, std::complex<float>* VS, const int& ldvs, std::complex<float>* WORK, const int& lwork, float* RWORK, int* BWORK, int* info) const;
1635
1636 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* W, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
1637 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<float>* A, const int& lda, float* WR, float* WI, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
1638
1639 void GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* W, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, int* ilo, int* ihi, float* SCALE, float* abnrm, float* RCONDE, float* RCONDV, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
1640
1641 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, std::complex<float>* ALPHA, std::complex<float>* BETA, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, int* ilo, int* ihi, float* lscale, float* rscale, float* abnrm, float* bbnrm, float* RCONDE, float* RCONDV, std::complex<float>* WORK, const int& lwork, float* RWORK, int* IWORK, int* BWORK, int* info) const;
1642 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, float* ALPHAR, float* ALPHAI, std::complex<float>* BETA, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, int* ilo, int* ihi, float* lscale, float* rscale, float* abnrm, float* bbnrm, float* RCONDE, float* RCONDV, std::complex<float>* WORK, const int& lwork, float* RWORK, int* IWORK, int* BWORK, int* info) const;
1643 void GGEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<float> *A, const int& lda, std::complex<float> *B, const int& ldb, std::complex<float>* ALPHA, std::complex<float>* BETA, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, std::complex<float> *WORK, const int& lwork, float* RWORK, int* info) const;
1644 void GGES(const char& JOBVL, const char& JOBVR, const char& SORT, int (*ptr2func)(std::complex<float>*, std::complex<float>*), const int& n, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, int* sdim, std::complex<float>* ALPHA, std::complex<float>* BETA, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, std::complex<float>* WORK, const int& lwork, float* rwork, int* bwork, int* info ) const;
1645 void TGSEN(const int& ijob, const int& wantq, const int& wantz, const int* SELECT, const int& n, std::complex<float>* A, const int& lda, std::complex<float>* B, const int& ldb, std::complex<float>* ALPHA, std::complex<float>* BETA, std::complex<float>* Q, const int& ldq, std::complex<float>* Z, const int& ldz, int* M, float* PL, float* PR, float* DIF, std::complex<float>* WORK, const int& lwork, int* IWORK, const int& liwork, int* info ) const;
1646
1647 // SVD routine
1648 void GESVD(const char& JOBU, const char& JOBVT, const int& m, const int& n, std::complex<float>* A, const int& lda, float* S, std::complex<float>* U, const int& ldu, std::complex<float>* V, const int& ldv, std::complex<float>* WORK, const int& lwork, float* RWORK, int* info) const;
1649
1650 // Triangular matrix routines.
1651 void TREVC(const char& SIDE, const char& HOWMNY, int* select, const int& n, const std::complex<float>* T, const int& ldt, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, const int& mm, int* m, std::complex<float>* WORK, float* RWORK, int* info) const;
1652 void TREVC(const char& SIDE, const int& n, const std::complex<float>* T, const int& ldt, std::complex<float>* VL, const int& ldvl, std::complex<float>* VR, const int& ldvr, const int& mm, int* m, std::complex<float>* WORK, float* RWORK, int* info) const;
1653
1654 void TREXC(const char& COMPQ, const int& n, std::complex<float>* T, const int& ldt, std::complex<float>* Q, const int& ldq, int* ifst, int* ilst, std::complex<float>* WORK, int* info) const;
1655
1656 // Rotation/reflection generators
1657 void LARTG( const std::complex<float> f, const std::complex<float> g, float* c, std::complex<float>* s, std::complex<float>* r ) const;
1658 void LARFG( const int& n, std::complex<float>* alpha, std::complex<float>* x, const int& incx, std::complex<float>* tau ) const;
1659
1660 // Matrix balancing routines.
1661
1662 void GEBAL(const char& JOBZ, const int& n, std::complex<float>* A, const int& lda, int* ilo, int* ihi, float* scale, int* info) const;
1663
1664 void GEBAK(const char& JOBZ, const char& SIDE, const int& n, const int& ilo, const int& ihi, const float* scale, const int& m, std::complex<float>* V, const int& ldv, int* info) const;
1665
1666 // Random number generators
1667 std::complex<float> LARND( const int& idist, int* seed ) const;
1668 void LARNV( const int& idist, int* seed, const int& n, std::complex<float>* v ) const;
1669
1670 // Machine characteristics
1671 int ILAENV( const int& ispec, const std::string& NAME, const std::string& OPTS, const int& N1 = -1, const int& N2 = -1, const int& N3 = -1, const int& N4 = -1 ) const;
1672
1673 };
1674
1675 // END INT, COMPLEX<FLOAT> SPECIALIZATION DECLARATION //
1676
1677 // BEGIN INT, COMPLEX<DOUBLE> SPECIALIZATION DECLARATION //
1678
1679 template<>
1680 class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, std::complex<double> >
1681 {
1682 public:
1683 inline LAPACK(void) {}
1684 inline LAPACK(const LAPACK<int, std::complex<double> >& lapack) {}
1685 inline virtual ~LAPACK(void) {}
1686
1687 // Symmetric positive definite linear system routines
1688 void PTTRF(const int& n, double* d, std::complex<double>* e, int* info) const;
1689 void PTTRS(const char& UPLO, const int& n, const int& nrhs, const double* d, const std::complex<double>* e, std::complex<double>* B, const int& ldb, int* info) const;
1690 void POTRF(const char& UPLO, const int& n, std::complex<double>* A, const int& lda, int* info) const;
1691 void POTRS(const char& UPLO, const int& n, const int& nrhs, const std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, int* info) const;
1692 void POTRI(const char& UPLO, const int& n, std::complex<double>* A, const int& lda, int* info) const;
1693 void POCON(const char& UPLO, const int& n, const std::complex<double>* A, const int& lda, const double& anorm, double* rcond, std::complex<double>* WORK, double* RWORK, int* info) const;
1694 void POSV(const char& UPLO, const int& n, const int& nrhs, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, int* info) const;
1695 void POEQU(const int& n, const std::complex<double>* A, const int& lda, double* S, double* scond, double* amax, int* info) const;
1696 void PORFS(const char& UPLO, const int& n, const int& nrhs, const std::complex<double>* A, const int& lda, const std::complex<double>* AF, const int& ldaf, const std::complex<double>* B, const int& ldb, std::complex<double>* X, const int& ldx, double* FERR, double* BERR, std::complex<double>* WORK, double* RWORK, int* info) const;
1697
1698 void POSVX(const char& FACT, const char& UPLO, const int& n, const int& nrhs, std::complex<double>* A, const int& lda, std::complex<double>* AF, const int& ldaf, char* EQUED, double* S, std::complex<double>* B, const int& ldb, std::complex<double>* X, const int& ldx, double* rcond, double* FERR, double* BERR, std::complex<double>* WORK, double* RWORK, int* info) const;
1699
1700 // General Linear System Routines
1701 void GELS(const char& TRANS, const int& m, const int& n, const int& nrhs, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, std::complex<double>* WORK, const int& lwork, int* info) const;
1702 void GELSS(const int& m, const int& n, const int& nrhs, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, double* S, const double& rcond, int* rank, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1703 void GEQRF(const int& m, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* TAU, std::complex<double>* WORK, const int& lwork, int* info) const;
1704 void GEQR2(const int& m, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* TAU, std::complex<double>* WORK, int* const info) const;
1705 void UNGQR(const int& m, const int& n, const int& k, std::complex<double>* A, const int& lda, const std::complex<double>* TAU, std::complex<double>* WORK, const int& lwork, int* info) const;
1706 void UNMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const std::complex<double>* A, const int& lda, const std::complex<double>* TAU, std::complex<double>* C, const int& ldc, std::complex<double>* WORK, const int& lwork, int* info) const;
1707 void UNM2R(const char& SIDE, const char& TRANS, const int& M, const int& N, const int& K, const std::complex<double>* A, const int& LDA, const std::complex<double>* TAU, std::complex<double>* C, const int& LDC, std::complex<double>* WORK, int* const INFO) const;
1708
1709 void GETRF(const int& m, const int& n, std::complex<double>* A, const int& lda, int* IPIV, int* info) const;
1710 void GETRS(const char& TRANS, const int& n, const int& nrhs, const std::complex<double>* A, const int& lda, const int* IPIV, std::complex<double>* B, const int& ldb, int* info) const;
1711 void LASCL(const char& TYPE, const int& kl, const int& ku, const double& cfrom, const double& cto, const int& m, const int& n, std::complex<double>* A, const int& lda, int* info) const;
1712
1713 void GEQP3 (const int& m, const int& n, std::complex<double>* A, const int& lda, int* jpvt, std::complex<double>* TAU, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1714 void LASWP (const int& N, std::complex<double>* A, const int& LDA, const int& K1, const int& K2, const int* IPIV, const int& INCX) const;
1715
1716 void GBTRF(const int& m, const int& n, const int& kl, const int& ku, std::complex<double>* A, const int& lda, int* IPIV, int* info) const;
1717 void GBTRS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const std::complex<double>* A, const int& lda, const int* IPIV, std::complex<double>* B, const int& ldb, int* info) const;
1718 void GTTRF(const int& n, std::complex<double>* dl, std::complex<double>* d, std::complex<double>* du, std::complex<double>* du2, int* IPIV, int* info) const;
1719 void GTTRS(const char& TRANS, const int& n, const int& nrhs, const std::complex<double>* dl, const std::complex<double>* d, const std::complex<double>* du, const std::complex<double>* du2, const int* IPIV, std::complex<double>* B, const int& ldb, int* info) const;
1720 void GETRI(const int& n, std::complex<double>* A, const int& lda, const int* IPIV, std::complex<double>* WORK, const int& lwork, int* info) const;
1721 void LATRS (const char& UPLO, const char& TRANS, const char& DIAG, const char& NORMIN, const int& N, const std::complex<double>* A, const int& LDA, std::complex<double>* X, double* SCALE, double* CNORM, int* INFO) const;
1722 void GECON(const char& NORM, const int& n, const std::complex<double>* A, const int& lda, const double& anorm, double* rcond, std::complex<double>* WORK, double* RWORK, int* info) const;
1723 void GBCON(const char& NORM, const int& n, const int& kl, const int& ku, const std::complex<double>* A, const int& lda, const int* IPIV, const double& anorm, double* rcond, std::complex<double>* WORK, double* RWORK, int* info) const;
1724 double LANGB(const char& NORM, const int& n, const int& kl, const int& ku, const std::complex<double>* A, const int& lda, double* WORK) const;
1725 void GESV(const int& n, const int& nrhs, std::complex<double>* A, const int& lda, int* IPIV, std::complex<double>* B, const int& ldb, int* info) const;
1726 void GEEQU(const int& m, const int& n, const std::complex<double>* A, const int& lda, double* R, double* C, double* rowcond, double* colcond, double* amax, int* info) const;
1727 void GERFS(const char& TRANS, const int& n, const int& nrhs, const std::complex<double>* A, const int& lda, const std::complex<double>* AF, const int& ldaf, const int* IPIV, const std::complex<double>* B, const int& ldb, std::complex<double>* X, const int& ldx, double* FERR, double* BERR, std::complex<double>* WORK, double* RWORK, int* info) const;
1728 void GBEQU(const int& m, const int& n, const int& kl, const int& ku, const std::complex<double>* A, const int& lda, double* R, double* C, double* rowcond, double* colcond, double* amax, int* info) const;
1729 void GBRFS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const std::complex<double>* A, const int& lda, const std::complex<double>* AF, const int& ldaf, const int* IPIV, const std::complex<double>* B, const int& ldb, std::complex<double>* X, const int& ldx, double* FERR, double* BERR, std::complex<double>* WORK, double* RWORK, int* info) const;
1730
1731 void GESVX(const char& FACT, const char& TRANS, const int& n, const int& nrhs, std::complex<double>* A, const int& lda, std::complex<double>* AF, const int& ldaf, int* IPIV, char* EQUED, double* R, double* C, std::complex<double>* B, const int& ldb, std::complex<double>* X, const int& ldx, double* rcond, double* FERR, double* BERR, std::complex<double>* WORK, double* RWORK, int* info) const;
1732
1733 void GEHRD(const int& n, const int& ilo, const int& ihi, std::complex<double>* A, const int& lda, std::complex<double>* TAU, std::complex<double>* WORK, const int& lwork, int* info) const;
1734 void TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const int& n, const int& nrhs, const std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, int* info) const;
1735 void TRTRI(const char& UPLO, const char& DIAG, const int& n, std::complex<double>* A, const int& lda, int* info) const;
1736
1737 // Symmetric eigenvalue routines.
1738 void STEQR(const char& COMPZ, const int& n, double* D, double* E, std::complex<double>* Z, const int& ldz, double* WORK, int* info) const;
1739 void PTEQR(const char& COMPZ, const int& n, double* D, double* E, std::complex<double>* Z, const int& ldz, double* WORK, int* info) const;
1740 void HEEV(const char& JOBZ, const char& UPLO, const int& n, std::complex<double>* A, const int& lda, double* W, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1741 void HEGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, double* W, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1742
1743 // Non-hermitian eigenvalue routines.
1744 void HSEQR(const char& JOB, const char& COMPZ, const int& n, const int& ilo, const int& ihi, std::complex<double>* H, const int& ldh, std::complex<double>* W, std::complex<double>* Z, const int& ldz, std::complex<double>* WORK, const int& lwork, int* info) const;
1745 void GEES(const char& JOBVS, const char& SORT, int (*ptr2func)(std::complex<double>*), const int& n, std::complex<double>* A, const int& lda, int* sdim, std::complex<double>* W, std::complex<double>* VS, const int& ldvs, std::complex<double>* WORK, const int& lwork, double* RWORK, int* BWORK, int* info) const;
1746 void GEES(const char& JOBVS, const int& n, std::complex<double>* A, const int& lda, int* sdim, double* WR, double* WI, std::complex<double>* VS, const int& ldvs, std::complex<double>* WORK, const int& lwork, double* RWORK, int* BWORK, int* info) const;
1747
1748 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* W, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1749 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<double>* A, const int& lda, double* WR, double* WI, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1750
1751 void GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* W, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, int* ilo, int* ihi, double* SCALE, double* abnrm, double* RCONDE, double* RCONDV, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1752 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, std::complex<double>* ALPHA, std::complex<double>* BETA, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, int* ilo, int* ihi, double* lscale, double* rscale, double* abnrm, double* bbnrm, double* RCONDE, double* RCONDV, std::complex<double>* work, const int& lwork, double* RWORK, int* IWORK, int* BWORK, int* info) const;
1753 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, double* ALPHAR, double* ALPHAI, std::complex<double>* BETA, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, int* ilo, int* ihi, double* lscale, double* rscale, double* abnrm, double* bbnrm, double* RCONDE, double* RCONDV, std::complex<double>* work, const int& lwork, double* RWORK, int* IWORK, int* BWORK, int* info) const;
1754 void GGEV(const char& JOBVL, const char& JOBVR, const int& n, std::complex<double> *A, const int& lda, std::complex<double> *B, const int& ldb, std::complex<double>* ALPHA, std::complex<double>* BETA, std::complex<double>* VL, const int& ldvl, std::complex<double>*VR, const int& ldvr, std::complex<double> *WORK, const int& lwork, double* RWORK, int* info) const;
1755 void GGES(const char& JOBVL, const char& JOBVR, const char& SORT, int (*ptr2func)(std::complex<double>*, std::complex<double>*), const int& n, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, int* sdim, std::complex<double>* ALPHA, std::complex<double>* BETA, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, std::complex<double>* WORK, const int& lwork, double* rwork, int* bwork, int* info ) const;
1756 void TGSEN(const int& ijob, const int& wantq, const int& wantz, const int* SELECT, const int& n, std::complex<double>* A, const int& lda, std::complex<double>* B, const int& ldb, std::complex<double>* ALPHA, std::complex<double>* BETA, std::complex<double>* Q, const int& ldq, std::complex<double>* Z, const int& ldz, int* M, double* PL, double* PR, double* DIF, std::complex<double>* WORK, const int& lwork, int* IWORK, const int& liwork, int* info ) const;
1757
1758 // SVD routine
1759 void GESVD(const char& JOBU, const char& JOBVT, const int& m, const int& n, std::complex<double>* A, const int& lda, double* S, std::complex<double>* U, const int& ldu, std::complex<double>* V, const int& ldv, std::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1760
1761 // Triangular matrix routines.
1762 void TREVC(const char& SIDE, const char& HOWMNY, int* select, const int& n, const std::complex<double>* T, const int& ldt, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, const int& mm, int* m, std::complex<double>* WORK, double* RWORK, int* info) const;
1763 void TREVC(const char& SIDE, const int& n, const std::complex<double>* T, const int& ldt, std::complex<double>* VL, const int& ldvl, std::complex<double>* VR, const int& ldvr, const int& mm, int* m, std::complex<double>* WORK, double* RWORK, int* info) const;
1764
1765 void TREXC(const char& COMPQ, const int& n, std::complex<double>* T, const int& ldt, std::complex<double>* Q, const int& ldq, int* ifst, int* ilst, std::complex<double>* WORK, int* info) const;
1766
1767 // Rotation/reflection generators
1768 void LARTG( const std::complex<double> f, const std::complex<double> g, double* c, std::complex<double>* s, std::complex<double>* r ) const;
1769 void LARFG( const int& n, std::complex<double>* alpha, std::complex<double>* x, const int& incx, std::complex<double>* tau ) const;
1770
1771 // Matrix balancing routines.
1772
1773 void GEBAL(const char& JOBZ, const int& n, std::complex<double>* A, const int& lda, int* ilo, int* ihi, double* scale, int* info) const;
1774
1775 void GEBAK(const char& JOBZ, const char& SIDE, const int& n, const int& ilo, const int& ihi, const double* scale, const int& m, std::complex<double>* V, const int& ldv, int* info) const;
1776
1777 // Random number generators
1778 std::complex<double> LARND( const int& idist, int* seed ) const;
1779 void LARNV( const int& idist, int* seed, const int& n, std::complex<double>* v ) const;
1780
1781 // Machine characteristics
1782 int ILAENV( const int& ispec, const std::string& NAME, const std::string& OPTS, const int& N1 = -1, const int& N2 = -1, const int& N3 = -1, const int& N4 = -1 ) const;
1783
1784 };
1785
1786 // END INT, COMPLEX<DOUBLE> SPECIALIZATION DECLARATION //
1787
1788 // BEGIN INT, KOKKOS::COMPLEX<DOUBLE> SPECIALIZATION DECLARATION //
1789
1790 template<>
1791 class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, Kokkos::complex<double> >
1792 {
1793 public:
1794 inline LAPACK(void) {}
1795 inline LAPACK(const LAPACK<int, Kokkos::complex<double> >& lapack) {}
1796 inline virtual ~LAPACK(void) {}
1797
1798 // Symmetric positive definite linear system routines
1799 void PTTRF(const int& n, double* d, Kokkos::complex<double>* e, int* info) const;
1800 void PTTRS(const char& UPLO, const int& n, const int& nrhs, const double* d, const Kokkos::complex<double>* e, Kokkos::complex<double>* B, const int& ldb, int* info) const;
1801 void POTRF(const char& UPLO, const int& n, Kokkos::complex<double>* A, const int& lda, int* info) const;
1802 void POTRS(const char& UPLO, const int& n, const int& nrhs, const Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* B, const int& ldb, int* info) const;
1803 void POTRI(const char& UPLO, const int& n, Kokkos::complex<double>* A, const int& lda, int* info) const;
1804 void POCON(const char& UPLO, const int& n, const Kokkos::complex<double>* A, const int& lda, const double& anorm, double* rcond, Kokkos::complex<double>* WORK, double* RWORK, int* info) const;
1805 void POSV(const char& UPLO, const int& n, const int& nrhs, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* B, const int& ldb, int* info) const;
1806 void POEQU(const int& n, const Kokkos::complex<double>* A, const int& lda, double* S, double* scond, double* amax, int* info) const;
1807 void PORFS(const char& UPLO, const int& n, const int& nrhs, const Kokkos::complex<double>* A, const int& lda, const Kokkos::complex<double>* AF, const int& ldaf, const Kokkos::complex<double>* B, const int& ldb, Kokkos::complex<double>* X, const int& ldx, double* FERR, double* BERR, Kokkos::complex<double>* WORK, double* RWORK, int* info) const;
1808
1809 void POSVX(const char& FACT, const char& UPLO, const int& n, const int& nrhs, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* AF, const int& ldaf, char* EQUED, double* S, Kokkos::complex<double>* B, const int& ldb, Kokkos::complex<double>* X, const int& ldx, double* rcond, double* FERR, double* BERR, Kokkos::complex<double>* WORK, double* RWORK, int* info) const;
1810
1811 // General Linear System Routines
1812 void GELS(const char& TRANS, const int& m, const int& n, const int& nrhs, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* B, const int& ldb, Kokkos::complex<double>* WORK, const int& lwork, int* info) const;
1813 void GELSS(const int& m, const int& n, const int& nrhs, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* B, const int& ldb, double* S, const double& rcond, int* rank, Kokkos::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1814 void GEQRF(const int& m, const int& n, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* TAU, Kokkos::complex<double>* WORK, const int& lwork, int* info) const;
1815 void GEQR2(const int& m, const int& n, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* TAU, Kokkos::complex<double>* WORK, int* const info) const;
1816 void UNGQR(const int& m, const int& n, const int& k, Kokkos::complex<double>* A, const int& lda, const Kokkos::complex<double>* TAU, Kokkos::complex<double>* WORK, const int& lwork, int* info) const;
1817 void UNMQR(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const Kokkos::complex<double>* A, const int& lda, const Kokkos::complex<double>* TAU, Kokkos::complex<double>* C, const int& ldc, Kokkos::complex<double>* WORK, const int& lwork, int* info) const;
1818 void UNM2R(const char& SIDE, const char& TRANS, const int& M, const int& N, const int& K, const Kokkos::complex<double>* A, const int& LDA, const Kokkos::complex<double>* TAU, Kokkos::complex<double>* C, const int& LDC, Kokkos::complex<double>* WORK, int* const INFO) const;
1819
1820 void GETRF(const int& m, const int& n, Kokkos::complex<double>* A, const int& lda, int* IPIV, int* info) const;
1821 void GETRS(const char& TRANS, const int& n, const int& nrhs, const Kokkos::complex<double>* A, const int& lda, const int* IPIV, Kokkos::complex<double>* B, const int& ldb, int* info) const;
1822 void LASCL(const char& TYPE, const int& kl, const int& ku, const double& cfrom, const double& cto, const int& m, const int& n, Kokkos::complex<double>* A, const int& lda, int* info) const;
1823
1824 void GEQP3 (const int& m, const int& n, Kokkos::complex<double>* A, const int& lda, int* jpvt, Kokkos::complex<double>* TAU, Kokkos::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1825 void LASWP (const int& N, Kokkos::complex<double>* A, const int& LDA, const int& K1, const int& K2, const int* IPIV, const int& INCX) const;
1826
1827 void GBTRF(const int& m, const int& n, const int& kl, const int& ku, Kokkos::complex<double>* A, const int& lda, int* IPIV, int* info) const;
1828 void GBTRS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const Kokkos::complex<double>* A, const int& lda, const int* IPIV, Kokkos::complex<double>* B, const int& ldb, int* info) const;
1829 void GTTRF(const int& n, Kokkos::complex<double>* dl, Kokkos::complex<double>* d, Kokkos::complex<double>* du, Kokkos::complex<double>* du2, int* IPIV, int* info) const;
1830 void GTTRS(const char& TRANS, const int& n, const int& nrhs, const Kokkos::complex<double>* dl, const Kokkos::complex<double>* d, const Kokkos::complex<double>* du, const Kokkos::complex<double>* du2, const int* IPIV, Kokkos::complex<double>* B, const int& ldb, int* info) const;
1831 void GETRI(const int& n, Kokkos::complex<double>* A, const int& lda, const int* IPIV, Kokkos::complex<double>* WORK, const int& lwork, int* info) const;
1832 void LATRS (const char& UPLO, const char& TRANS, const char& DIAG, const char& NORMIN, const int& N, const Kokkos::complex<double>* A, const int& LDA, Kokkos::complex<double>* X, double* SCALE, double* CNORM, int* INFO) const;
1833 void GECON(const char& NORM, const int& n, const Kokkos::complex<double>* A, const int& lda, const double& anorm, double* rcond, Kokkos::complex<double>* WORK, double* RWORK, int* info) const;
1834 void GBCON(const char& NORM, const int& n, const int& kl, const int& ku, const Kokkos::complex<double>* A, const int& lda, const int* IPIV, const double& anorm, double* rcond, Kokkos::complex<double>* WORK, double* RWORK, int* info) const;
1835 double LANGB(const char& NORM, const int& n, const int& kl, const int& ku, const Kokkos::complex<double>* A, const int& lda, double* WORK) const;
1836 void GESV(const int& n, const int& nrhs, Kokkos::complex<double>* A, const int& lda, int* IPIV, Kokkos::complex<double>* B, const int& ldb, int* info) const;
1837 void GEEQU(const int& m, const int& n, const Kokkos::complex<double>* A, const int& lda, double* R, double* C, double* rowcond, double* colcond, double* amax, int* info) const;
1838 void GERFS(const char& TRANS, const int& n, const int& nrhs, const Kokkos::complex<double>* A, const int& lda, const Kokkos::complex<double>* AF, const int& ldaf, const int* IPIV, const Kokkos::complex<double>* B, const int& ldb, Kokkos::complex<double>* X, const int& ldx, double* FERR, double* BERR, Kokkos::complex<double>* WORK, double* RWORK, int* info) const;
1839 void GBEQU(const int& m, const int& n, const int& kl, const int& ku, const Kokkos::complex<double>* A, const int& lda, double* R, double* C, double* rowcond, double* colcond, double* amax, int* info) const;
1840 void GBRFS(const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const Kokkos::complex<double>* A, const int& lda, const Kokkos::complex<double>* AF, const int& ldaf, const int* IPIV, const Kokkos::complex<double>* B, const int& ldb, Kokkos::complex<double>* X, const int& ldx, double* FERR, double* BERR, Kokkos::complex<double>* WORK, double* RWORK, int* info) const;
1841
1842 void GESVX(const char& FACT, const char& TRANS, const int& n, const int& nrhs, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* AF, const int& ldaf, int* IPIV, char* EQUED, double* R, double* C, Kokkos::complex<double>* B, const int& ldb, Kokkos::complex<double>* X, const int& ldx, double* rcond, double* FERR, double* BERR, Kokkos::complex<double>* WORK, double* RWORK, int* info) const;
1843
1844 void GEHRD(const int& n, const int& ilo, const int& ihi, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* TAU, Kokkos::complex<double>* WORK, const int& lwork, int* info) const;
1845 void TRTRS(const char& UPLO, const char& TRANS, const char& DIAG, const int& n, const int& nrhs, const Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* B, const int& ldb, int* info) const;
1846 void TRTRI(const char& UPLO, const char& DIAG, const int& n, Kokkos::complex<double>* A, const int& lda, int* info) const;
1847
1848 // Symmetric eigenvalue routines.
1849 void STEQR(const char& COMPZ, const int& n, double* D, double* E, Kokkos::complex<double>* Z, const int& ldz, double* WORK, int* info) const;
1850 void PTEQR(const char& COMPZ, const int& n, double* D, double* E, Kokkos::complex<double>* Z, const int& ldz, double* WORK, int* info) const;
1851 void HEEV(const char& JOBZ, const char& UPLO, const int& n, Kokkos::complex<double>* A, const int& lda, double* W, Kokkos::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1852 void HEGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* B, const int& ldb, double* W, Kokkos::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1853
1854 // Non-hermitian eigenvalue routines.
1855 void HSEQR(const char& JOB, const char& COMPZ, const int& n, const int& ilo, const int& ihi, Kokkos::complex<double>* H, const int& ldh, Kokkos::complex<double>* W, Kokkos::complex<double>* Z, const int& ldz, Kokkos::complex<double>* WORK, const int& lwork, int* info) const;
1856 void GEES(const char& JOBVS, const char& SORT, int (*ptr2func)(std::complex<double>*), const int& n, Kokkos::complex<double>* A, const int& lda, int* sdim, Kokkos::complex<double>* W, Kokkos::complex<double>* VS, const int& ldvs, Kokkos::complex<double>* WORK, const int& lwork, double* RWORK, int* BWORK, int* info) const;
1857 void GEES(const char& JOBVS, const int& n, Kokkos::complex<double>* A, const int& lda, int* sdim, double* WR, double* WI, Kokkos::complex<double>* VS, const int& ldvs, Kokkos::complex<double>* WORK, const int& lwork, double* RWORK, int* BWORK, int* info) const;
1858
1859 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* W, Kokkos::complex<double>* VL, const int& ldvl, Kokkos::complex<double>* VR, const int& ldvr, Kokkos::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1860 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, Kokkos::complex<double>* A, const int& lda, double* WR, double* WI, Kokkos::complex<double>* VL, const int& ldvl, Kokkos::complex<double>* VR, const int& ldvr, Kokkos::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1861
1862 void GEEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* W, Kokkos::complex<double>* VL, const int& ldvl, Kokkos::complex<double>* VR, const int& ldvr, int* ilo, int* ihi, double* SCALE, double* abnrm, double* RCONDE, double* RCONDV, Kokkos::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1863 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* B, const int& ldb, Kokkos::complex<double>* ALPHA, Kokkos::complex<double>* BETA, Kokkos::complex<double>* VL, const int& ldvl, Kokkos::complex<double>* VR, const int& ldvr, int* ilo, int* ihi, double* lscale, double* rscale, double* abnrm, double* bbnrm, double* RCONDE, double* RCONDV, Kokkos::complex<double>* work, const int& lwork, double* RWORK, int* IWORK, int* BWORK, int* info) const;
1864 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* B, const int& ldb, double* ALPHAR, double* ALPHAI, Kokkos::complex<double>* BETA, Kokkos::complex<double>* VL, const int& ldvl, Kokkos::complex<double>* VR, const int& ldvr, int* ilo, int* ihi, double* lscale, double* rscale, double* abnrm, double* bbnrm, double* RCONDE, double* RCONDV, Kokkos::complex<double>* work, const int& lwork, double* RWORK, int* IWORK, int* BWORK, int* info) const;
1865 void GGEV(const char& JOBVL, const char& JOBVR, const int& n, Kokkos::complex<double> *A, const int& lda, Kokkos::complex<double> *B, const int& ldb, Kokkos::complex<double>* ALPHA, Kokkos::complex<double>* BETA, Kokkos::complex<double>* VL, const int& ldvl, Kokkos::complex<double>*VR, const int& ldvr, Kokkos::complex<double> *WORK, const int& lwork, double* RWORK, int* info) const;
1866 void GGES(const char& JOBVL, const char& JOBVR, const char& SORT, int (*ptr2func)(std::complex<double>*, std::complex<double>*), const int& n, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* B, const int& ldb, int* sdim, Kokkos::complex<double>* ALPHA, Kokkos::complex<double>* BETA, Kokkos::complex<double>* VL, const int& ldvl, Kokkos::complex<double>* VR, const int& ldvr, Kokkos::complex<double>* WORK, const int& lwork, double* rwork, int* bwork, int* info ) const;
1867 void TGSEN(const int& ijob, const int& wantq, const int& wantz, const int* SELECT, const int& n, Kokkos::complex<double>* A, const int& lda, Kokkos::complex<double>* B, const int& ldb, Kokkos::complex<double>* ALPHA, Kokkos::complex<double>* BETA, Kokkos::complex<double>* Q, const int& ldq, Kokkos::complex<double>* Z, const int& ldz, int* M, double* PL, double* PR, double* DIF, Kokkos::complex<double>* WORK, const int& lwork, int* IWORK, const int& liwork, int* info ) const;
1868
1869 // SVD routine
1870 void GESVD(const char& JOBU, const char& JOBVT, const int& m, const int& n, Kokkos::complex<double>* A, const int& lda, double* S, Kokkos::complex<double>* U, const int& ldu, Kokkos::complex<double>* V, const int& ldv, Kokkos::complex<double>* WORK, const int& lwork, double* RWORK, int* info) const;
1871
1872 // Triangular matrix routines.
1873 void TREVC(const char& SIDE, const char& HOWMNY, int* select, const int& n, const Kokkos::complex<double>* T, const int& ldt, Kokkos::complex<double>* VL, const int& ldvl, Kokkos::complex<double>* VR, const int& ldvr, const int& mm, int* m, Kokkos::complex<double>* WORK, double* RWORK, int* info) const;
1874 void TREVC(const char& SIDE, const int& n, const Kokkos::complex<double>* T, const int& ldt, Kokkos::complex<double>* VL, const int& ldvl, Kokkos::complex<double>* VR, const int& ldvr, const int& mm, int* m, Kokkos::complex<double>* WORK, double* RWORK, int* info) const;
1875
1876 void TREXC(const char& COMPQ, const int& n, Kokkos::complex<double>* T, const int& ldt, Kokkos::complex<double>* Q, const int& ldq, int* ifst, int* ilst, Kokkos::complex<double>* WORK, int* info) const;
1877
1878 // Rotation/reflection generators
1879 void LARTG( const Kokkos::complex<double> f, const Kokkos::complex<double> g, double* c, Kokkos::complex<double>* s, Kokkos::complex<double>* r ) const;
1880 void LARFG( const int& n, Kokkos::complex<double>* alpha, Kokkos::complex<double>* x, const int& incx, Kokkos::complex<double>* tau ) const;
1881
1882 // Matrix balancing routines.
1883
1884 void GEBAL(const char& JOBZ, const int& n, Kokkos::complex<double>* A, const int& lda, int* ilo, int* ihi, double* scale, int* info) const;
1885
1886 void GEBAK(const char& JOBZ, const char& SIDE, const int& n, const int& ilo, const int& ihi, const double* scale, const int& m, Kokkos::complex<double>* V, const int& ldv, int* info) const;
1887
1888 // Random number generators
1889 Kokkos::complex<double> LARND( const int& idist, int* seed ) const;
1890 void LARNV( const int& idist, int* seed, const int& n, Kokkos::complex<double>* v ) const;
1891
1892 // Machine characteristics
1893 int ILAENV( const int& ispec, const std::string& NAME, const std::string& OPTS, const int& N1 = -1, const int& N2 = -1, const int& N3 = -1, const int& N4 = -1 ) const;
1894
1895 };
1896
1897 // END INT, KOKKOS::COMPLEX<DOUBLE> SPECIALIZATION DECLARATION //
1898
1899#endif // HAVE_TEUCHOS_COMPLEX
1900
1901#ifdef HAVE_TEUCHOSCORE_QUADMATH
1902
1903 // BEGIN int, __float128 SPECIALIZATION DECLARATION //
1904
1905 // mfh 18 Sep 2015: I had to write this specialization by hand,
1906 // since LAPACK does not provide it, so it is not complete.
1907 template<>
1908 class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, __float128>
1909 {
1910 public:
1911 inline LAPACK(void) {}
1912 inline LAPACK(const LAPACK<int, __float128>& lapack) {}
1913 inline virtual ~LAPACK(void) {}
1914
1915 void GEQRF(const int& m, const int& n, __float128* A, const int& lda, __float128* TAU, __float128* WORK, const int& lwork, int* info) const;
1916 void GEQR2(const int& m, const int& n, __float128* A, const int& lda, __float128* TAU, __float128* WORK, int* const info) const;
1917 void GETRF(const int& m, const int& n, __float128* A, const int& lda, int* IPIV, int* info) const;
1918 void GETRS(const char& TRANS, const int& n, const int& nrhs, const __float128* A, const int& lda, const int* IPIV, __float128* B, const int& ldb, int* info) const;
1919 void GETRI(const int& n, __float128* A, const int& lda, const int* IPIV, __float128* WORK, const int& lwork, int* info) const;
1920 void LASWP (const int& N, __float128* A, const int& LDA, const int& K1, const int& K2, const int* IPIV, const int& INCX) const;
1921
1922 void ORM2R(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const __float128* A, const int& lda, const __float128* TAU, __float128* C, const int& ldc, __float128* WORK, int* const info) const;
1923 void ORGQR(const int& m, const int& n, const int& k, __float128* A, const int& lda, const __float128* TAU, __float128* WORK, const int& lwork, int* info) const;
1924 void UNGQR(const int& m, const int& n, const int& k, __float128* A, const int& lda, const __float128* TAU, __float128* WORK, const int& lwork, int* info) const;
1925
1926 void LARFG( const int& n, __float128* alpha, __float128* x, const int& incx, __float128* tau ) const;
1927
1928 __float128 LAPY2 (const __float128 x, const __float128 y) const;
1929 void LASCL (const char& TYPE, const int& kl, const int& ku, const __float128 cfrom, const __float128 cto, const int& m, const int& n, __float128* A, const int& lda, int* info) const;
1930
1931 void GBTRF (const int& m, const int& n, const int& kl, const int& ku, __float128* A, const int& lda, int* IPIV, int* info) const;
1932 void GBTRS (const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const __float128* A, const int& lda, const int* IPIV, __float128* B, const int& ldb, int* info) const;
1933 };
1934
1935 // END int, __float128 SPECIALIZATION DECLARATION //
1936
1937#endif // HAVE_TEUCHOSCORE_QUADMATH
1938
1939#ifdef HAVE_TEUCHOS_LONG_DOUBLE
1940
1941 // BEGIN int, long double SPECIALIZATION DECLARATION //
1942
1943 // IKT 29 May 2021: I had to write this specialization by hand,
1944 // since LAPACK does not provide it, so it is not complete.
1945 template<>
1946 class TEUCHOSNUMERICS_LIB_DLL_EXPORT LAPACK<int, long double>
1947 {
1948 public:
1949 inline LAPACK(void) {}
1950 inline LAPACK(const LAPACK<int, long double>& lapack) {}
1951 inline virtual ~LAPACK(void) {}
1952
1953 void GESV(const int& n, const int& nrhs, long double* A, const int& lda, int* IPIV, long double* B, const int& ldb, int* info) const;
1954 void GTTRS(const char& TRANS, const int& n, const int& nrhs, const long double* dl, const long double* d, const long double* du, const long double* du2, const int* IPIV, long double* B, const int& ldb, int* info) const;
1955 void GTTRF(const int& n, long double* dl, long double* d, long double* du, long double* du2, int* IPIV, int* info) const;
1956 void SYGV(const int& itype, const char& JOBZ, const char& UPLO, const int& n, long double* A, const int& lda, long double* B, const int& ldb, long double* W, long double* WORK, const int& lwork, int* info) const;
1957 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, long double* A, const int& lda, long double* WR, long double* WI, long double* VL, const int& ldvl, long double* VR, const int& ldvr, long double* WORK, const int& lwork, int* info) const;
1958 void GEEV(const char& JOBVL, const char& JOBVR, const int& n, long double* A, const int& lda, long double* WR, long double* WI, long double* VL, const int& ldvl, long double* VR, const int& ldvr, long double* WORK, const int& lwork, long double* /* RWORK */, int* info) const;
1959 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, long double* A, const int& lda, long double* B, const int& ldb, long double* ALPHAR, long double* ALPHAI, long double* BETA, long double* VL, const int& ldvl, long double* VR, const int& ldvr, int* ilo, int* ihi, long double* lscale, long double* rscale, long double* abnrm, long double* bbnrm, long double* RCONDE, long double* RCONDV, long double* WORK, const int& lwork, int* IWORK, int* BWORK, int* info) const;
1960 void GGEVX(const char& BALANC, const char& JOBVL, const char& JOBVR, const char& SENSE, const int& n, long double* A, const int& lda, long double* B, const int& ldb, long double* ALPHAR, long double* ALPHAI, long double* BETA, long double* VL, const int& ldvl, long double* VR, const int& ldvr, int* ilo, int* ihi, long double* lscale, long double* rscale, long double* abnrm, long double* bbnrm, long double* RCONDE, long double* RCONDV, long double* WORK, const int& lwork, long double* /* RWORK */, int* IWORK, int* BWORK, int* info) const;
1961 void PORFS(const char& UPLO, const int& n, const int& nrhs, const long double* A, const int& lda, const long double* AF, const int& ldaf, const long double* B, const int& ldb, long double* X, const int& ldx, long double* FERR, long double* BERR, long double* WORK, int* IWORK, int* info) const;
1962 void PTEQR(const char& COMPZ, const int& n, long double* D, long double* E, long double* Z, const int& ldz, long double* WORK, int* info) const;
1963 void POTRF(const char& UPLO, const int& n, long double* A, const int& lda, int* info) const;
1964 void POTRS(const char& UPLO, const int& n, const int& nrhs, const long double* A, const int& lda, long double* B, const int& ldb, int* info) const;
1965 void POEQU(const int& n, const long double* A, const int& lda, long double* S, long double* scond, long double* amax, int* info) const;
1966 void GEQRF(const int& m, const int& n, long double* A, const int& lda, long double* TAU, long double* WORK, const int& lwork, int* info) const;
1967 void GEQR2(const int& m, const int& n, long double* A, const int& lda, long double* TAU, long double* WORK, int* const info) const;
1968 void GETRF(const int& m, const int& n, long double* A, const int& lda, int* IPIV, int* info) const;
1969 void GETRS(const char& TRANS, const int& n, const int& nrhs, const long double* A, const int& lda, const int* IPIV, long double* B, const int& ldb, int* info) const;
1970 void GETRI(const int& n, long double* A, const int& lda, const int* IPIV, long double* WORK, const int& lwork, int* info) const;
1971 void LASWP (const int& N, long double* A, const int& LDA, const int& K1, const int& K2, const int* IPIV, const int& INCX) const;
1972
1973 void ORM2R(const char& SIDE, const char& TRANS, const int& m, const int& n, const int& k, const long double* A, const int& lda, const long double* TAU, long double* C, const int& ldc, long double* WORK, int* const info) const;
1974 void ORGQR(const int& m, const int& n, const int& k, long double* A, const int& lda, const long double* TAU, long double* WORK, const int& lwork, int* info) const;
1975 void UNGQR(const int& m, const int& n, const int& k, long double* A, const int& lda, const long double* TAU, long double* WORK, const int& lwork, int* info) const;
1976
1977 void LARFG( const int& n, long double* alpha, long double* x, const int& incx, long double* tau ) const;
1978
1979 long double LAPY2 (const long double x, const long double y) const;
1980 void LASCL (const char& TYPE, const int& kl, const int& ku, const long double cfrom, const long double cto, const int& m, const int& n, long double* A, const int& lda, int* info) const;
1981
1982 void GBTRF (const int& m, const int& n, const int& kl, const int& ku, long double* A, const int& lda, int* IPIV, int* info) const;
1983 void GBTRS (const char& TRANS, const int& n, const int& kl, const int& ku, const int& nrhs, const long double* A, const int& lda, const int* IPIV, long double* B, const int& ldb, int* info) const;
1984 };
1985
1986 // END int, long double SPECIALIZATION DECLARATION //
1987
1988#endif // HAVE_TEUCHOS_LONG_DOUBLE
1989
1990#endif // DOXYGEN_SHOULD_SKIP_THIS
1991
1992} // namespace Teuchos
1993
1994#endif // _TEUCHOS_LAPACK_HPP_
Teuchos_ConfigDefs.hpp
Teuchos header file which uses auto-configuration information to include necessary C++ headers.
Teuchos_ScalarTraits.hpp
Defines basic traits for the scalar field type.
Teuchos::Comm::rank
int rank(const Comm< Ordinal > &comm)
Get the process rank.
Definition Teuchos_CommHelpers.hpp:1158
Teuchos::LAPACK
The Templated LAPACK Wrapper Class.
Definition Teuchos_LAPACK.hpp:65
Teuchos::LAPACK::GEQR2
void GEQR2(const OrdinalType &m, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, ScalarType *TAU, ScalarType *WORK, OrdinalType *const info) const
BLAS 2 version of GEQRF, with known workspace size.
Definition Teuchos_LAPACK.cpp:144
Teuchos::LAPACK::LARFG
void LARFG(const OrdinalType &n, ScalarType *alpha, ScalarType *x, const OrdinalType &incx, ScalarType *tau) const
Generates an elementary reflector of order n that zeros out the last n-1 components of the input vect...
Definition Teuchos_LAPACK.cpp:393
Teuchos::LAPACK::GEEV
void GEEV(const char &JOBVL, const char &JOBVR, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, MagnitudeType *WR, MagnitudeType *WI, ScalarType *VL, const OrdinalType &ldvl, ScalarType *VR, const OrdinalType &ldvr, ScalarType *WORK, const OrdinalType &lwork, MagnitudeType *RWORK, OrdinalType *info) const
Computes for an n by n real nonsymmetric matrix A, the eigenvalues and, optionally,...
Definition Teuchos_LAPACK.cpp:290
Teuchos::LAPACK::TGSEN
void TGSEN(const OrdinalType &ijob, const OrdinalType &wantq, const OrdinalType &wantz, const OrdinalType *SELECT, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, MagnitudeType *BETA, ScalarType *Q, const OrdinalType &ldq, ScalarType *Z, const OrdinalType &ldz, OrdinalType *M, MagnitudeType *PL, MagnitudeType *PR, MagnitudeType *DIF, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *IWORK, const OrdinalType &liwork, OrdinalType *info) const
Definition Teuchos_LAPACK.cpp:323
Teuchos::LAPACK::TREXC
void TREXC(const char &COMPQ, const OrdinalType &n, ScalarType *T, const OrdinalType &ldt, ScalarType *Q, const OrdinalType &ldq, OrdinalType *ifst, OrdinalType *ilst, ScalarType *WORK, OrdinalType *info) const
Definition Teuchos_LAPACK.cpp:381
Teuchos::LAPACK::SYGV
void SYGV(const OrdinalType &itype, const char &JOBZ, const char &UPLO, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, ScalarType *W, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Computes all the eigenvalues and, optionally, eigenvectors of a symmetric n by n matrix pencil {A,...
Definition Teuchos_LAPACK.cpp:254
Teuchos::LAPACK::GEBAL
void GEBAL(const char &JOBZ, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, OrdinalType *ilo, OrdinalType *ihi, MagnitudeType *scale, OrdinalType *info) const
Balances a general matrix A, through similarity transformations to make the rows and columns as close...
Definition Teuchos_LAPACK.cpp:396
Teuchos::LAPACK::GBRFS
void GBRFS(const char &TRANS, const OrdinalType &n, const OrdinalType &kl, const OrdinalType &ku, const OrdinalType &nrhs, const ScalarType *A, const OrdinalType &lda, const ScalarType *AF, const OrdinalType &ldaf, const OrdinalType *IPIV, const ScalarType *B, const OrdinalType &ldb, ScalarType *X, const OrdinalType &ldx, ScalarType *FERR, ScalarType *BERR, ScalarType *WORK, OrdinalType *IWORK, OrdinalType *info) const
Improves the computed solution to a banded system of linear equations and provides error bounds and b...
Definition Teuchos_LAPACK.cpp:223
Teuchos::LAPACK::LANGB
ScalarTraits< ScalarType >::magnitudeType LANGB(const char &NORM, const OrdinalType &n, const OrdinalType &kl, const OrdinalType &ku, const ScalarType *A, const OrdinalType &lda, MagnitudeType *WORK) const
Returns the value of the one norm, or the Frobenius norm, or the infinity norm, or the element of lar...
Definition Teuchos_LAPACK.cpp:203
Teuchos::LAPACK::ORMQR
void ORMQR(const char &SIDE, const char &TRANS, const OrdinalType &m, const OrdinalType &n, const OrdinalType &k, const ScalarType *A, const OrdinalType &lda, const ScalarType *TAU, ScalarType *C, const OrdinalType &ldc, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Definition Teuchos_LAPACK.cpp:331
Teuchos::LAPACK::TRTRS
void TRTRS(const char &UPLO, const char &TRANS, const char &DIAG, const OrdinalType &n, const OrdinalType &nrhs, const ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, OrdinalType *info) const
Solves a triangular linear system of the form A*X=B or A**T*X=B, where A is a triangular matrix.
Definition Teuchos_LAPACK.cpp:238
Teuchos::LAPACK::HEGV
void HEGV(const OrdinalType &itype, const char &JOBZ, const char &UPLO, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, MagnitudeType *W, ScalarType *WORK, const OrdinalType &lwork, MagnitudeType *RWORK, OrdinalType *info) const
Computes all the eigenvalues and, optionally, eigenvectors of a generalized Hermitian-definite n by n...
Definition Teuchos_LAPACK.cpp:262
Teuchos::LAPACK::STEQR
void STEQR(const char &COMPZ, const OrdinalType &n, MagnitudeType *D, MagnitudeType *E, ScalarType *Z, const OrdinalType &ldz, MagnitudeType *WORK, OrdinalType *info) const
Computes the eigenvalues and, optionally, eigenvectors of a symmetric tridiagonal n by n matrix A usi...
Definition Teuchos_LAPACK.cpp:266
Teuchos::LAPACK::GGEV
void GGEV(const char &JOBVL, const char &JOBVR, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, ScalarType *BETA, ScalarType *VL, const OrdinalType &ldvl, ScalarType *VR, const OrdinalType &ldvr, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Definition Teuchos_LAPACK.cpp:315
Teuchos::LAPACK::ORMHR
void ORMHR(const char &SIDE, const char &TRANS, const OrdinalType &m, const OrdinalType &n, const OrdinalType &ilo, const OrdinalType &ihi, const ScalarType *A, const OrdinalType &lda, const ScalarType *TAU, ScalarType *C, const OrdinalType &ldc, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Overwrites the general real m by n matrix C with the product of C and Q, which is a product of ihi-il...
Definition Teuchos_LAPACK.cpp:366
Teuchos::LAPACK::UNGQR
void UNGQR(const OrdinalType &m, const OrdinalType &n, const OrdinalType &k, ScalarType *A, const OrdinalType &lda, const ScalarType *TAU, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Compute explicit QR factor from QR factorization (GEQRF) (complex case).
Definition Teuchos_LAPACK.cpp:358
Teuchos::LAPACK::LATRS
void LATRS(const char &UPLO, const char &TRANS, const char &DIAG, const char &NORMIN, const OrdinalType &N, const ScalarType *A, const OrdinalType &LDA, ScalarType *X, MagnitudeType *SCALE, MagnitudeType *CNORM, OrdinalType *INFO) const
Robustly solve a possibly singular triangular linear system.
Definition Teuchos_LAPACK.cpp:190
Teuchos::LAPACK::LAMCH
ScalarType LAMCH(const char &CMACH) const
Determines machine parameters for floating point characteristics.
Definition Teuchos_LAPACK.cpp:412
Teuchos::LAPACK::ORGHR
void ORGHR(const OrdinalType &n, const OrdinalType &ilo, const OrdinalType &ihi, ScalarType *A, const OrdinalType &lda, const ScalarType *TAU, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Generates a real orthogonal matrix Q which is the product of ihi-ilo elementary reflectors of order n...
Definition Teuchos_LAPACK.cpp:362
Teuchos::LAPACK::PTTRS
void PTTRS(const OrdinalType &n, const OrdinalType &nrhs, const MagnitudeType *d, const ScalarType *e, ScalarType *B, const OrdinalType &ldb, OrdinalType *info) const
Solves a tridiagonal system A*X=B using the \L*D*L' factorization of A computed by PTTRF.
Definition Teuchos_LAPACK.cpp:90
Teuchos::LAPACK::LAPACK
LAPACK(const LAPACK< OrdinalType, ScalarType > &lapack)
Copy Constructor.
Definition Teuchos_LAPACK.hpp:77
Teuchos::LAPACK::GTTRF
void GTTRF(const OrdinalType &n, ScalarType *dl, ScalarType *d, ScalarType *du, ScalarType *du2, OrdinalType *IPIV, OrdinalType *info) const
Computes an LU factorization of a n by n tridiagonal matrix A using partial pivoting with row interch...
Definition Teuchos_LAPACK.cpp:179
Teuchos::LAPACK::GESVX
void GESVX(const char &FACT, const char &TRANS, const OrdinalType &n, const OrdinalType &nrhs, ScalarType *A, const OrdinalType &lda, ScalarType *AF, const OrdinalType &ldaf, OrdinalType *IPIV, char *EQUED, ScalarType *R, ScalarType *C, ScalarType *B, const OrdinalType &ldb, ScalarType *X, const OrdinalType &ldx, ScalarType *rcond, ScalarType *FERR, ScalarType *BERR, ScalarType *WORK, OrdinalType *IWORK, OrdinalType *info) const
Uses the LU factorization to compute the solution to a real system of linear equations A*X=B,...
Definition Teuchos_LAPACK.cpp:226
Teuchos::LAPACK::LASWP
void LASWP(const OrdinalType &N, ScalarType *A, const OrdinalType &LDA, const OrdinalType &K1, const OrdinalType &K2, const OrdinalType *IPIV, const OrdinalType &INCX) const
Apply a series of row interchanges to the matrix A.
Definition Teuchos_LAPACK.cpp:166
Teuchos::LAPACK::PTEQR
void PTEQR(const char &COMPZ, const OrdinalType &n, MagnitudeType *D, MagnitudeType *E, ScalarType *Z, const OrdinalType &ldz, MagnitudeType *WORK, OrdinalType *info) const
Computes the eigenvalues and, optionally, eigenvectors of a symmetric positive-definite tridiagonal n...
Definition Teuchos_LAPACK.cpp:270
Teuchos::LAPACK::GETRI
void GETRI(const OrdinalType &n, ScalarType *A, const OrdinalType &lda, const OrdinalType *IPIV, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Computes the inverse of a matrix A using the LU factorization computed by GETRF.
Definition Teuchos_LAPACK.cpp:187
Teuchos::LAPACK::GGLSE
void GGLSE(const OrdinalType &m, const OrdinalType &n, const OrdinalType &p, ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, ScalarType *C, ScalarType *D, ScalarType *X, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Solves the linear equality-constrained least squares (LSE) problem where A is an m by n matrix,...
Definition Teuchos_LAPACK.cpp:137
Teuchos::LAPACK::GBTRF
void GBTRF(const OrdinalType &m, const OrdinalType &n, const OrdinalType &kl, const OrdinalType &ku, ScalarType *A, const OrdinalType &lda, OrdinalType *IPIV, OrdinalType *info) const
Computes an LU factorization of a general banded m by n matrix A using partial pivoting with row inte...
Definition Teuchos_LAPACK.cpp:171
Teuchos::LAPACK::PORFS
void PORFS(const char &UPLO, const OrdinalType &n, const OrdinalType &nrhs, const ScalarType *A, const OrdinalType &lda, const ScalarType *AF, const OrdinalType &ldaf, const ScalarType *B, const OrdinalType &ldb, ScalarType *X, const OrdinalType &ldx, ScalarType *FERR, ScalarType *BERR, ScalarType *WORK, OrdinalType *IWORK, OrdinalType *info) const
Improves the computed solution to a system of linear equations when the coefficient matrix is symmetr...
Definition Teuchos_LAPACK.cpp:117
Teuchos::LAPACK::GELSS
void GELSS(const OrdinalType &m, const OrdinalType &n, const OrdinalType &nrhs, ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, MagnitudeType *S, const MagnitudeType rcond, OrdinalType *rank, ScalarType *WORK, const OrdinalType &lwork, MagnitudeType *RWORK, OrdinalType *info) const
Use the SVD to solve a possibly rank-deficient linear least-squares problem.
Definition Teuchos_LAPACK.hpp:620
Teuchos::LAPACK::GEHRD
void GEHRD(const OrdinalType &n, const OrdinalType &ilo, const OrdinalType &ihi, ScalarType *A, const OrdinalType &lda, ScalarType *TAU, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Reduces a real general matrix A to upper Hessenberg form by orthogonal similarity transformations.
Definition Teuchos_LAPACK.cpp:234
Teuchos::LAPACK::POSVX
void POSVX(const char &FACT, const char &UPLO, const OrdinalType &n, const OrdinalType &nrhs, ScalarType *A, const OrdinalType &lda, ScalarType *AF, const OrdinalType &ldaf, char *EQUED, ScalarType *S, ScalarType *B, const OrdinalType &ldb, ScalarType *X, const OrdinalType &ldx, ScalarType *rcond, ScalarType *FERR, ScalarType *BERR, ScalarType *WORK, OrdinalType *IWORK, OrdinalType *info) const
Uses the Cholesky factorization to compute the solution to a real system of linear equations A*X=B,...
Definition Teuchos_LAPACK.cpp:120
Teuchos::LAPACK::~LAPACK
virtual ~LAPACK(void)
Destructor.
Definition Teuchos_LAPACK.hpp:80
Teuchos::LAPACK::ORGQR
void ORGQR(const OrdinalType &m, const OrdinalType &n, const OrdinalType &k, ScalarType *A, const OrdinalType &lda, const ScalarType *TAU, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Compute explicit Q factor from QR factorization (GEQRF) (real case).
Definition Teuchos_LAPACK.cpp:354
Teuchos::LAPACK::GEES
void GEES(const char &JOBVS, const char &SORT, OrdinalType &(*ptr2func)(ScalarType *, ScalarType *), const OrdinalType &n, ScalarType *A, const OrdinalType &lda, OrdinalType *sdim, ScalarType *WR, ScalarType *WI, ScalarType *VS, const OrdinalType &ldvs, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *BWORK, OrdinalType *info) const
Definition Teuchos_LAPACK.hpp:1099
Teuchos::LAPACK::UNM2R
void UNM2R(const char &SIDE, const char &TRANS, const OrdinalType &M, const OrdinalType &N, const OrdinalType &K, const ScalarType *A, const OrdinalType &LDA, const ScalarType *TAU, ScalarType *C, const OrdinalType &LDC, ScalarType *WORK, OrdinalType *const INFO) const
BLAS 2 version of UNMQR; known workspace size.
Definition Teuchos_LAPACK.cpp:345
Teuchos::LAPACK::GBEQU
void GBEQU(const OrdinalType &m, const OrdinalType &n, const OrdinalType &kl, const OrdinalType &ku, const ScalarType *A, const OrdinalType &lda, MagnitudeType *R, MagnitudeType *C, MagnitudeType *rowcond, MagnitudeType *colcond, MagnitudeType *amax, OrdinalType *info) const
Computes row and column scalings intended to equilibrate an m by n banded matrix A and reduce its con...
Definition Teuchos_LAPACK.cpp:219
Teuchos::LAPACK::GESVD
void GESVD(const char &JOBU, const char &JOBVT, const OrdinalType &m, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, MagnitudeType *S, ScalarType *U, const OrdinalType &ldu, ScalarType *V, const OrdinalType &ldv, ScalarType *WORK, const OrdinalType &lwork, MagnitudeType *RWORK, OrdinalType *info) const
Computes the singular values (and optionally, vectors) of a real matrix A.
Definition Teuchos_LAPACK.cpp:299
Teuchos::LAPACK::POCON
void POCON(const char &UPLO, const OrdinalType &n, const ScalarType *A, const OrdinalType &lda, const ScalarType &anorm, ScalarType *rcond, ScalarType *WORK, OrdinalType *IWORK, OrdinalType *info) const
Estimates the reciprocal of the condition number (1-norm) of a real symmetric positive definite matri...
Definition Teuchos_LAPACK.cpp:106
Teuchos::LAPACK::GEEVX
void GEEVX(const char &BALANC, const char &JOBVL, const char &JOBVR, const char &SENSE, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, ScalarType *WR, ScalarType *WI, ScalarType *VL, const OrdinalType &ldvl, ScalarType *VR, const OrdinalType &ldvr, OrdinalType *ilo, OrdinalType *ihi, MagnitudeType *SCALE, MagnitudeType *abnrm, MagnitudeType *RCONDE, MagnitudeType *RCONDV, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *IWORK, OrdinalType *info) const
Definition Teuchos_LAPACK.cpp:303
Teuchos::LAPACK::HSEQR
void HSEQR(const char &JOB, const char &COMPZ, const OrdinalType &n, const OrdinalType &ilo, const OrdinalType &ihi, ScalarType *H, const OrdinalType &ldh, ScalarType *WR, ScalarType *WI, ScalarType *Z, const OrdinalType &ldz, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Computes the eigenvalues of a real upper Hessenberg matrix H and, optionally, the matrices T and Z fr...
Definition Teuchos_LAPACK.cpp:274
Teuchos::LAPACK::LARTG
void LARTG(const ScalarType &f, const ScalarType &g, MagnitudeType *c, ScalarType *s, ScalarType *r) const
Gnerates a plane rotation that zeros out the second component of the input vector.
Definition Teuchos_LAPACK.cpp:389
Teuchos::LAPACK::GELS
void GELS(const char &TRANS, const OrdinalType &m, const OrdinalType &n, const OrdinalType &nrhs, ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Solves an over/underdetermined real m by n linear system A using QR or LQ factorization of A.
Definition Teuchos_LAPACK.cpp:124
Teuchos::LAPACK::GBCON
void GBCON(const char &NORM, const OrdinalType &n, const OrdinalType &kl, const OrdinalType &ku, const ScalarType *A, const OrdinalType &lda, const OrdinalType *IPIV, const ScalarType &anorm, ScalarType *rcond, ScalarType *WORK, OrdinalType *IWORK, OrdinalType *info) const
Estimates the reciprocal of the condition number of a general banded real matrix A,...
Definition Teuchos_LAPACK.cpp:199
Teuchos::LAPACK::HEEV
void HEEV(const char &JOBZ, const char &UPLO, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, MagnitudeType *W, ScalarType *WORK, const OrdinalType &lwork, MagnitudeType *RWORK, OrdinalType *info) const
Computes all the eigenvalues and, optionally, eigenvectors of a Hermitian n by n matrix A.
Definition Teuchos_LAPACK.cpp:258
Teuchos::LAPACK::POTRS
void POTRS(const char &UPLO, const OrdinalType &n, const OrdinalType &nrhs, const ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, OrdinalType *info) const
Solves a system of linear equations A*X=B, where A is a symmetric positive definite matrix factored b...
Definition Teuchos_LAPACK.cpp:98
Teuchos::LAPACK::GGEVX
void GGEVX(const char &BALANC, const char &JOBVL, const char &JOBVR, const char &SENSE, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, ScalarType *BETA, ScalarType *VL, const OrdinalType &ldvl, ScalarType *VR, const OrdinalType &ldvr, OrdinalType *ilo, OrdinalType *ihi, MagnitudeType *lscale, MagnitudeType *rscale, MagnitudeType *abnrm, MagnitudeType *bbnrm, MagnitudeType *RCONDE, MagnitudeType *RCONDV, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *IWORK, OrdinalType *BWORK, OrdinalType *info) const
Definition Teuchos_LAPACK.cpp:307
Teuchos::LAPACK::LARND
ScalarType LARND(const OrdinalType &idist, OrdinalType *seed) const
Returns a random number from a uniform or normal distribution.
Definition Teuchos_LAPACK.hpp:1285
Teuchos::LAPACK::LAPY2
ScalarType LAPY2(const ScalarType &x, const ScalarType &y) const
Computes x^2 + y^2 safely, to avoid overflow.
Definition Teuchos_LAPACK.cpp:429
Teuchos::LAPACK::ORM2R
void ORM2R(const char &SIDE, const char &TRANS, const OrdinalType &m, const OrdinalType &n, const OrdinalType &k, const ScalarType *A, const OrdinalType &lda, const ScalarType *TAU, ScalarType *C, const OrdinalType &ldc, ScalarType *WORK, OrdinalType *const info) const
BLAS 2 version of ORMQR; known workspace size.
Definition Teuchos_LAPACK.cpp:335
Teuchos::LAPACK::POEQU
void POEQU(const OrdinalType &n, const ScalarType *A, const OrdinalType &lda, MagnitudeType *S, MagnitudeType *scond, MagnitudeType *amax, OrdinalType *info) const
Computes row and column scalings intended to equilibrate a symmetric positive definite matrix A and r...
Definition Teuchos_LAPACK.cpp:114
Teuchos::LAPACK::GEEQU
void GEEQU(const OrdinalType &m, const OrdinalType &n, const ScalarType *A, const OrdinalType &lda, ScalarType *R, ScalarType *C, ScalarType *rowcond, ScalarType *colcond, ScalarType *amax, OrdinalType *info) const
Computes row and column scalings intended to equilibrate an m by n matrix A and reduce its condition ...
Definition Teuchos_LAPACK.cpp:211
Teuchos::LAPACK::UNMQR
void UNMQR(const char &SIDE, const char &TRANS, const OrdinalType &m, const OrdinalType &n, const OrdinalType &k, const ScalarType *A, const OrdinalType &lda, const ScalarType *TAU, ScalarType *C, const OrdinalType &ldc, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Apply Householder reflectors (complex case).
Definition Teuchos_LAPACK.cpp:339
Teuchos::LAPACK::POTRI
void POTRI(const char &UPLO, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, OrdinalType *info) const
Computes the inverse of a real symmetric positive definite matrix A using the Cholesky factorization ...
Definition Teuchos_LAPACK.cpp:102
Teuchos::LAPACK::PTTRF
void PTTRF(const OrdinalType &n, MagnitudeType *d, ScalarType *e, OrdinalType *info) const
Computes the L*D*L' factorization of a Hermitian/symmetric positive definite tridiagonal matrix A.
Definition Teuchos_LAPACK.cpp:86
Teuchos::LAPACK::TRSEN
void TRSEN(const char &JOB, const char &COMPQ, const OrdinalType *SELECT, const OrdinalType &n, ScalarType *T, const OrdinalType &ldt, ScalarType *Q, const OrdinalType &ldq, MagnitudeType *WR, MagnitudeType *WI, OrdinalType *M, ScalarType *S, MagnitudeType *SEP, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *IWORK, const OrdinalType &liwork, OrdinalType *info) const
Definition Teuchos_LAPACK.cpp:319
Teuchos::LAPACK::GESV
void GESV(const OrdinalType &n, const OrdinalType &nrhs, ScalarType *A, const OrdinalType &lda, OrdinalType *IPIV, ScalarType *B, const OrdinalType &ldb, OrdinalType *info) const
Computes the solution to a real system of linear equations A*X=B, where A is factored through GETRF a...
Definition Teuchos_LAPACK.cpp:207
Teuchos::LAPACK::GBTRS
void GBTRS(const char &TRANS, const OrdinalType &n, const OrdinalType &kl, const OrdinalType &ku, const OrdinalType &nrhs, const ScalarType *A, const OrdinalType &lda, const OrdinalType *IPIV, ScalarType *B, const OrdinalType &ldb, OrdinalType *info) const
Solves a system of linear equations A*X=B or A'*X=B with a general banded n by n matrix A using the L...
Definition Teuchos_LAPACK.cpp:175
Teuchos::LAPACK::LARNV
void LARNV(const OrdinalType &idist, OrdinalType *seed, const OrdinalType &n, ScalarType *v) const
Returns a vector of random numbers from a chosen distribution.
Definition Teuchos_LAPACK.cpp:408
Teuchos::LAPACK::TRTRI
void TRTRI(const char &UPLO, const char &DIAG, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, OrdinalType *info) const
Computes the inverse of an upper or lower triangular matrix A.
Definition Teuchos_LAPACK.cpp:242
Teuchos::LAPACK::GGES
void GGES(const char &JOBVL, const char &JOBVR, const char &SORT, OrdinalType &(*ptr2func)(ScalarType *, ScalarType *, ScalarType *), const OrdinalType &n, ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, OrdinalType *sdim, MagnitudeType *ALPHAR, MagnitudeType *ALPHAI, MagnitudeType *BETA, ScalarType *VL, const OrdinalType &ldvl, ScalarType *VR, const OrdinalType &ldvr, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *BWORK, OrdinalType *info) const
Definition Teuchos_LAPACK.cpp:327
Teuchos::LAPACK::POSV
void POSV(const char &UPLO, const OrdinalType &n, const OrdinalType &nrhs, ScalarType *A, const OrdinalType &lda, ScalarType *B, const OrdinalType &ldb, OrdinalType *info) const
Computes the solution to a real system of linear equations A*X=B, where A is a symmetric positive def...
Definition Teuchos_LAPACK.cpp:110
Teuchos::LAPACK::ILAENV
OrdinalType ILAENV(const OrdinalType &ispec, const std::string &NAME, const std::string &OPTS, const OrdinalType &N1=-1, const OrdinalType &N2=-1, const OrdinalType &N3=-1, const OrdinalType &N4=-1) const
Chooses problem-dependent parameters for the local environment.
Definition Teuchos_LAPACK.cpp:416
Teuchos::LAPACK::GETRF
void GETRF(const OrdinalType &m, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, OrdinalType *IPIV, OrdinalType *info) const
Computes an LU factorization of a general m by n matrix A using partial pivoting with row interchange...
Definition Teuchos_LAPACK.cpp:149
Teuchos::LAPACK::LASCL
void LASCL(const char &TYPE, const OrdinalType &kl, const OrdinalType &ku, const MagnitudeType cfrom, const MagnitudeType cto, const OrdinalType &m, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, OrdinalType *info) const
Multiplies the m by n matrix A by the real scalar cto/cfrom.
Definition Teuchos_LAPACK.cpp:157
Teuchos::LAPACK::GECON
void GECON(const char &NORM, const OrdinalType &n, const ScalarType *A, const OrdinalType &lda, const ScalarType &anorm, ScalarType *rcond, ScalarType *WORK, OrdinalType *IWORK, OrdinalType *info) const
Estimates the reciprocal of the condition number of a general real matrix A, in either the 1-norm or ...
Definition Teuchos_LAPACK.cpp:195
Teuchos::LAPACK::GERFS
void GERFS(const char &TRANS, const OrdinalType &n, const OrdinalType &nrhs, const ScalarType *A, const OrdinalType &lda, const ScalarType *AF, const OrdinalType &ldaf, const OrdinalType *IPIV, const ScalarType *B, const OrdinalType &ldb, ScalarType *X, const OrdinalType &ldx, ScalarType *FERR, ScalarType *BERR, ScalarType *WORK, OrdinalType *IWORK, OrdinalType *info) const
Improves the computed solution to a system of linear equations and provides error bounds and backward...
Definition Teuchos_LAPACK.cpp:215
Teuchos::LAPACK::LAPACK
LAPACK(void)
Default Constructor.
Definition Teuchos_LAPACK.hpp:74
Teuchos::LAPACK::GTTRS
void GTTRS(const char &TRANS, const OrdinalType &n, const OrdinalType &nrhs, const ScalarType *dl, const ScalarType *d, const ScalarType *du, const ScalarType *du2, const OrdinalType *IPIV, ScalarType *B, const OrdinalType &ldb, OrdinalType *info) const
Solves a system of linear equations A*X=B or A'*X=B or A^H*X=B with a tridiagonal matrix A using the ...
Definition Teuchos_LAPACK.cpp:183
Teuchos::LAPACK::SYTRD
void SYTRD(const char &UPLO, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, ScalarType *D, ScalarType *E, ScalarType *TAU, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Reduces a real symmetric matrix A to tridiagonal form by orthogonal similarity transformations.
Definition Teuchos_LAPACK.cpp:230
Teuchos::LAPACK::GEBAK
void GEBAK(const char &JOBZ, const char &SIDE, const OrdinalType &n, const OrdinalType &ilo, const OrdinalType &ihi, const MagnitudeType *scale, const OrdinalType &m, ScalarType *V, const OrdinalType &ldv, OrdinalType *info) const
Forms the left or right eigenvectors of a general matrix that has been balanced by GEBAL by backward ...
Definition Teuchos_LAPACK.cpp:400
Teuchos::LAPACK::GEQP3
void GEQP3(const OrdinalType &m, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, OrdinalType *jpvt, ScalarType *TAU, ScalarType *WORK, const OrdinalType &lwork, MagnitudeType *RWORK, OrdinalType *info) const
Computes a QR factorization with column pivoting of a matrix A: A*P = Q*R using Level 3 BLAS.
Definition Teuchos_LAPACK.cpp:160
Teuchos::LAPACK::TGEVC
void TGEVC(const char &SIDE, const char &HOWMNY, const OrdinalType *SELECT, const OrdinalType &n, const ScalarType *S, const OrdinalType &lds, const ScalarType *P, const OrdinalType &ldp, ScalarType *VL, const OrdinalType &ldvl, ScalarType *VR, const OrdinalType &ldvr, const OrdinalType &mm, OrdinalType *M, ScalarType *WORK, OrdinalType *info) const
Definition Teuchos_LAPACK.cpp:385
Teuchos::LAPACK::SYEV
void SYEV(const char &JOBZ, const char &UPLO, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, ScalarType *W, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Computes all the eigenvalues and, optionally, eigenvectors of a symmetric n by n matrix A.
Definition Teuchos_LAPACK.cpp:250
Teuchos::LAPACK::GEQRF
void GEQRF(const OrdinalType &m, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, ScalarType *TAU, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
Computes a QR factorization of a general m by n matrix A.
Definition Teuchos_LAPACK.cpp:141
Teuchos::LAPACK::POTRF
void POTRF(const char &UPLO, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, OrdinalType *info) const
Computes Cholesky factorization of a real symmetric positive definite matrix A.
Definition Teuchos_LAPACK.cpp:94
Teuchos::LAPACK::GETRS
void GETRS(const char &TRANS, const OrdinalType &n, const OrdinalType &nrhs, const ScalarType *A, const OrdinalType &lda, const OrdinalType *IPIV, ScalarType *B, const OrdinalType &ldb, OrdinalType *info) const
Solves a system of linear equations A*X=B or A'*X=B with a general n by n matrix A using the LU facto...
Definition Teuchos_LAPACK.cpp:153
Teuchos::LAPACK::TREVC
void TREVC(const char &SIDE, const char &HOWMNY, OrdinalType *select, const OrdinalType &n, const ScalarType *T, const OrdinalType &ldt, ScalarType *VL, const OrdinalType &ldvl, ScalarType *VR, const OrdinalType &ldvr, const OrdinalType &mm, OrdinalType *m, ScalarType *WORK, OrdinalType *info) const
Definition Teuchos_LAPACK.hpp:1216
Teuchos::LAPACK::SPEV
void SPEV(const char &JOBZ, const char &UPLO, const OrdinalType &n, ScalarType *AP, ScalarType *W, ScalarType *Z, const OrdinalType &ldz, ScalarType *WORK, OrdinalType *info) const
Computes the eigenvalues and, optionally, eigenvectors of a symmetric n by n matrix A in packed stora...
Definition Teuchos_LAPACK.cpp:246
Teuchos::Ptr::ptr
Ptr< T > ptr(T *p)
Create a pointer to an object from a raw pointer.
Definition Teuchos_PtrDecl.hpp:296
Teuchos
The Teuchos namespace contains all of the classes, structs and enums used by Teuchos,...
Teuchos::ScalarTraits::magnitude
static magnitudeType magnitude(T a)
Returns the magnitudeType of the scalar type a.
Definition Teuchos_ScalarTraitsDecl.hpp:100
Teuchos::ScalarTraits::one
static T one()
Returns representation of one for this scalar type.
Definition Teuchos_ScalarTraitsDecl.hpp:104
Teuchos::ScalarTraits::magnitudeType
T magnitudeType
Mandatory typedef for result of magnitude.
Definition Teuchos_ScalarTraitsDecl.hpp:61
Teuchos::ScalarTraits::zero
static T zero()
Returns representation of zero for this scalar type.
Definition Teuchos_ScalarTraitsDecl.hpp:102
Teuchos::ScalarTraits::squareroot
static T squareroot(T x)
Returns a number of magnitudeType that is the square root of this scalar type x.
Definition Teuchos_ScalarTraitsDecl.hpp:122
Teuchos::ScalarTraits::sfmin
static magnitudeType sfmin()
Returns safe minimum (sfmin), such that 1/sfmin does not overflow.
Definition Teuchos_ScalarTraitsDecl.hpp:82
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