46 #ifdef HAVE_TEUCHOSCORE_QUADMATH 48 #endif // HAVE_TEUCHOSCORE_QUADMATH 58 #if defined (INTEL_CXML) 59 #define CHAR_MACRO(char_var) &char_var, one 61 #define CHAR_MACRO(char_var) &char_var 67 #if defined (INTEL_CXML) 68 #define CHARPTR_MACRO(charptr_var) charptr_var, one 70 #define CHARPTR_MACRO(charptr_var) charptr_var 75 #if defined (INTEL_CXML) 85 const int* ispec,
const char* name,
const unsigned int& name_length,
86 const char* opts,
const unsigned int& opts_length,
87 const int* N1,
const int* N2,
const int* N3,
const int* N4 )
89 #if defined (INTEL_CXML) 90 return ILAENV_F77(ispec, name, name_length, opts, opts_length, N1, N2, N3, N4 );
92 return ILAENV_F77(ispec, name, opts, N1, N2, N3, N4, name_length, opts_length );
103 typedef int (*gees_nullfptr_t)(
double*,
double*);
114 { SPTTRF_F77(&n,d,e,info); }
117 void LAPACK<int, float>::PTTRS(
const int& n,
const int& nrhs,
const float* d,
const float* e,
float* B,
const int& ldb,
int* info)
const 118 { SPTTRS_F77(&n,&nrhs,d,e,B,&ldb,info); }
122 { SPOTRF_F77(CHAR_MACRO(UPLO), &n, A, &lda, info); }
125 void LAPACK<int, float>::POTRS(
const char& UPLO,
const int& n,
const int& nrhs,
const float* A,
const int& lda,
float* B,
const int& ldb,
int* info)
const 126 { SPOTRS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info); }
130 { SPOTRI_F77(CHAR_MACRO(UPLO), &n, A, &lda, info); }
133 void LAPACK<int, float>::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 134 { SPOCON_F77(CHAR_MACRO(UPLO), &n, A, &lda, &anorm, rcond, WORK, IWORK, info); }
137 void LAPACK<int, float>::POSV(
const char& UPLO,
const int& n,
const int& nrhs,
float* A,
const int& lda,
float* B,
const int& ldb,
int* info)
const 138 { SPOSV_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info); }
142 { SPOEQU_F77(&n, A, &lda, S, scond, amax, info); }
145 void LAPACK<int, float>::PORFS(
const char& UPLO,
const int& n,
const int& nrhs,
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 146 { SPORFS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, B, &ldb, X, &ldx, FERR, BERR, WORK, IWORK, info); }
149 void LAPACK<int, float>::POSVX(
const char& FACT,
const char& UPLO,
const int& n,
const int& nrhs,
float* A,
const int& lda,
float* AF,
const int& ldaf,
const 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 151 char EQUED_copy = EQUED;
152 SPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHAR_MACRO(EQUED_copy), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info);
154 void LAPACK<int, float>::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 155 { SPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHARPTR_MACRO(EQUED), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info); }
158 void LAPACK<int,float>::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 159 { SGELS_F77(CHAR_MACRO(TRANS), &m, &n, &nrhs, A, &lda, B, &ldb, WORK, &lwork, info); }
161 void LAPACK<int,float>::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 164 SGELSS_F77(&m, &n, &nrhs, A, &lda, B, &ldb, S, &rcond, rank, WORK, &lwork, info);
167 void LAPACK<int,float>::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 168 { SGELSS_F77(&m, &n, &nrhs, A, &lda, B, &ldb, S, &rcond, rank, WORK, &lwork, info); }
171 void LAPACK<int,float>::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 172 { SGGLSE_F77(&m, &n, &p, A, &lda, B, &ldb, C, D, X, WORK, &lwork, info); }
175 void LAPACK<int,float>::GEQRF(
const int& m,
const int& n,
float* A,
const int& lda,
float* TAU,
float* WORK,
const int& lwork,
int* info)
const 176 { SGEQRF_F77(&m, &n, A, &lda, TAU, WORK, &lwork, info); }
178 void LAPACK<int,float>::GEQR2 (
const int& m,
const int& n,
float A[],
const int& lda,
float TAU[],
float WORK[],
int*
const info)
const 180 SGEQR2_F77(&m, &n, A, &lda, TAU, WORK, info);
184 { SGETRF_F77(&m, &n, A, &lda, IPIV, info); }
187 void LAPACK<int,float>::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 188 { SGETRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, IPIV, B, &ldb, info); }
191 void LAPACK<int,float>::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 192 { SLASCL_F77(CHAR_MACRO(TYPE), &kl, &ku, &cfrom, &cto, &m, &n, A, &lda, info); }
208 SGEQP3_F77(&m, &n, A, &lda, jpvt, TAU, WORK, &lwork, info);
218 const int& INCX)
const 220 SLASWP_F77(&N, A, &LDA, &K1, &K2, IPIV, &INCX);
223 void LAPACK<int,float>::GBTRF(
const int& m,
const int& n,
const int& kl,
const int& ku,
float* A,
const int& lda,
int* IPIV,
int* info)
const 224 { SGBTRF_F77(&m, &n, &kl, &ku, A, &lda, IPIV, info); }
227 void LAPACK<int,float>::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 228 { SGBTRS_F77(CHAR_MACRO(TRANS), &n, &kl, &ku, &nrhs, A, &lda, IPIV, B, &ldb, info); }
232 { SGTTRF_F77(&n, dl, d, du, du2, IPIV, info); }
235 void LAPACK<int,float>::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 236 { SGTTRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, dl, d, du, du2, IPIV, B, &ldb, info); }
239 void LAPACK<int,float>::GETRI(
const int& n,
float* A,
const int& lda,
const int* IPIV,
float* WORK,
const int& lwork,
int* info)
const 240 { SGETRI_F77(&n, A, &lda, IPIV, WORK, &lwork, info); }
255 SLATRS_F77(CHAR_MACRO(UPLO),
269 void LAPACK<int,float>::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 270 { SGECON_F77(CHAR_MACRO(NORM), &n, A, &lda, &anorm, rcond, WORK, IWORK, info); }
273 void LAPACK<int,float>::GBCON(
const char& NORM,
const int& n,
const int& kl,
const int& ku,
const float* A,
const int& lda,
int* IPIV,
const float& anorm,
float* rcond,
float* WORK,
int* IWORK,
int* info)
const 274 { SGBCON_F77(CHAR_MACRO(NORM), &n, &kl, &ku, A, &lda, IPIV, &anorm, rcond, WORK, IWORK, info); }
277 float LAPACK<int,float>::LANGB(
const char& NORM,
const int& n,
const int& kl,
const int& ku,
const float* A,
const int& lda,
float* WORK)
const 278 {
return( SLANGB_F77(CHAR_MACRO(NORM), &n, &kl, &ku, A, &lda, WORK) ); }
281 void LAPACK<int,float>::GESV(
const int& n,
const int& nrhs,
float* A,
const int& lda,
int* IPIV,
float* B,
const int& ldb,
int* info)
const 282 { SGESV_F77(&n, &nrhs, A, &lda, IPIV, B, &ldb, info); }
285 void LAPACK<int,float>::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 286 { SGEEQU_F77(&m, &n, A, &lda, R, C, rowcond, colcond, amax, info); }
289 void LAPACK<int,float>::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 290 { SGERFS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, IWORK, info); }
293 void LAPACK<int,float>::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 294 { SGBEQU_F77(&m, &n, &kl, &ku, A, &lda, R, C, rowcond, colcond, amax, info); }
297 void LAPACK<int,float>::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 298 { SGBRFS_F77(CHAR_MACRO(TRANS), &n, &kl, &ku, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, IWORK, info); }
301 void LAPACK<int,float>::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,
const 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 303 char EQUED_copy = EQUED;
304 SGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHAR_MACRO(EQUED_copy), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info);
306 void LAPACK<int,float>::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 307 { SGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHARPTR_MACRO(EQUED), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info); }
310 void LAPACK<int,float>::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 311 { SSYTRD_F77(CHAR_MACRO(UPLO), &n, A, &lda, D, E, TAU, WORK, &lwork, info); }
314 void LAPACK<int,float>::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 315 { SGEHRD_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info); }
318 void LAPACK<int,float>::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 319 { STRTRS_F77(CHAR_MACRO(UPLO), CHAR_MACRO(TRANS), CHAR_MACRO(DIAG), &n, &nrhs, A, &lda, B, &ldb, info); }
323 { STRTRI_F77(CHAR_MACRO(UPLO), CHAR_MACRO(DIAG), &n, A, &lda, info); }
326 void LAPACK<int,float>::SPEV(
const char& JOBZ,
const char& UPLO,
const int& n,
float* AP,
float* W,
float* Z,
const int& ldz,
float* WORK,
int* info)
const 327 { SSPEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, AP, W, Z, &ldz, WORK, info); }
330 void LAPACK<int,float>::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 331 { SSYEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, info); }
334 void LAPACK<int,float>::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 335 { SSYGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, info); }
338 void LAPACK<int,float>::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 339 { SSYEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, info); }
342 void LAPACK<int,float>::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 343 { SSYGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, info); }
346 void LAPACK<int,float>::STEQR(
const char& COMPZ,
const int& n,
float* D,
float* E,
float* Z,
const int& ldz,
float* WORK,
int* info)
const 347 { SSTEQR_F77(CHAR_MACRO(COMPZ), &n, D, E, Z, &ldz, WORK, info); }
350 void LAPACK<int, float>::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 351 { SHSEQR_F77(CHAR_MACRO(JOB), CHAR_MACRO(COMPZ), &n, &ilo, &ihi, H, &ldh, WR, WI, Z, &ldz, WORK, &lwork, info); }
354 void LAPACK<int, float>::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 355 { SGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(SORT), ptr2func, &n, A, &lda, sdim, WR, WI, VS, &ldvs, WORK, &lwork, BWORK, info); }
358 void LAPACK<int, float>::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 360 int (*nullfptr)(
float*,
float*) = NULL;
361 const char sort =
'N';
362 SGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(sort), nullfptr, &n, A, &lda, sdim, WR, WI, VS, &ldvs, WORK, &lwork, BWORK, info);
366 void LAPACK<int, float>::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 367 { SGEEV_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), &n, A, &lda, WR, WI, VL, &ldvl, VR, &ldvr, WORK, &lwork, info); }
369 void LAPACK<int, float>::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* ,
int* info)
const 371 GEEV (JOBVL, JOBVR, n, A, lda, WR, WI, VL, ldvl, VR, ldvr, WORK, lwork, info);
375 void LAPACK<int, float>::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 376 { SGESVD_F77(CHAR_MACRO(JOBU), CHAR_MACRO(JOBVT), &m, &n, A, &lda, S, U, &ldu, V, &ldv, WORK, &lwork, info); }
379 void LAPACK<int,float>::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 380 { SGEEVX_F77(CHAR_MACRO(BALANC), CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), CHAR_MACRO(SENSE), &n, A, &lda, WR, WI, VL, &ldvl, VR, &ldvr, ilo, ihi, SCALE, abnrm, RCONDE, RCONDV, WORK, &lwork, IWORK, info); }
383 void LAPACK<int,float>::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 384 { SGGEVX_F77(CHAR_MACRO(BALANC), CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), CHAR_MACRO(SENSE), &n, A, &lda, B, &ldb, ALPHAR, ALPHAI, BETA, VL, &ldvl, VR, &ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, RCONDE, RCONDV, WORK, &lwork, IWORK, BWORK, info); }
386 void LAPACK<int,float>::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* ,
int* IWORK,
int* BWORK,
int* info)
const 388 GGEVX(BALANC, JOBVL, JOBVR, SENSE, n, A, lda, B, ldb, ALPHAR, ALPHAI, BETA, VL, ldvl, VR, ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, RCONDE, RCONDV, WORK, lwork, IWORK, BWORK, info);
391 void LAPACK<int, float>::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 392 { SGGEV_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), &n, A, &lda, B, &ldb, ALPHAR, ALPHAI, BETA, VL, &ldvl, VR, &ldvr, WORK, &lwork, info); }
395 void LAPACK<int, float>::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 396 { STRSEN_F77(CHAR_MACRO(JOB), CHAR_MACRO(COMPQ), SELECT, &n, T, &ldt, Q, &ldq, WR, WI, M, S, SEP, WORK, &lwork, IWORK, &liwork, info); }
399 void LAPACK<int, float>::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 400 { STGSEN_F77(&ijob, &wantq, &wantz, SELECT, &n, A, &lda, B, &ldb, ALPHAR, ALPHAI, BETA, Q, &ldq, Z, &ldz, M, PL, PR, DIF, WORK, &lwork, IWORK, &liwork, info); }
403 void LAPACK<int, float>::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 404 { SGGES_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), CHAR_MACRO(SORT), ptr2func, &n, A, &lda, B, &ldb, sdim, ALPHAR, ALPHAI, BETA, VL, &ldvl, VR, &ldvr, WORK, &lwork, BWORK, info); }
407 void LAPACK<int, float>::ORMQR(
const char& SIDE,
const char& TRANS,
const int& m,
const int& n,
const int& k,
float* A,
const int& lda,
const float* TAU,
float* C,
const int& ldc,
float* WORK,
const int& lwork,
int* info)
const 408 { SORMQR_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &k, A, &lda, TAU, C, &ldc, WORK, &lwork, info); }
411 void LAPACK<int, float>::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 412 { SORM2R_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &k, A, &lda, TAU, C, &ldc, WORK, info); }
415 void LAPACK<int, float>::UNMQR(
const char& SIDE,
const char& TRANS,
const int& m,
const int& n,
const int& k,
float* A,
const int& lda,
const float* TAU,
float* C,
const int& ldc,
float* WORK,
const int& lwork,
int* info)
const 420 ORMQR (SIDE, TRANS, m, n, k, A, lda, TAU, C, ldc, WORK, lwork, info);
423 void LAPACK<int, float>::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 428 ORM2R (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO);
432 void LAPACK<int, float>::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 433 { SORGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info); }
436 void LAPACK<int, float>::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 437 { SORGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info); }
440 void LAPACK<int, float>::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 441 { SORGHR_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info); }
444 void LAPACK<int, float>::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 445 { SORMHR_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &ilo, &ihi, A, &lda, TAU, C, &ldc, WORK, &lwork, info); }
448 void LAPACK<int, float>::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 449 { STREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(HOWMNY), select, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, info); }
452 void LAPACK<int, float>::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 454 std::vector<int> select(1);
455 const char whch =
'A';
456 STREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(whch), &select[0], &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, info);
460 void LAPACK<int, float>::TREXC(
const char& COMPQ,
const int& n,
float* T,
const int& ldt,
float* Q,
const int& ldq,
const int& ifst,
const int& ilst,
float* WORK,
int* info)
const 462 int ifst_copy = ifst;
463 int ilst_copy = ilst;
464 STREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, &ifst_copy, &ilst_copy, WORK, info);
466 void LAPACK<int, float>::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 467 { STREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, ifst, ilst, WORK, info); }
470 void LAPACK<int, float>::TGEVC(
const char& SIDE,
const char& HOWMNY,
const int* SELECT,
const int& n,
float* S,
const int& lds,
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 471 { STGEVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(HOWMNY), SELECT, &n, S, &lds, P, &ldp, VL, &ldvl, VR, &ldvr, &mm, M, WORK, info); }
475 { SLARTG_F77(&f, &g, c, s, r); }
479 { SLARFG_F77(&n, alpha, x, &incx, tau); }
482 void LAPACK<int, float>::GEBAL(
const char& JOBZ,
const int& n,
float* A,
const int& lda,
const int& ilo,
const int& ihi,
float* scale,
int* info)
const 486 SGEBAL_F77(CHAR_MACRO(JOBZ),&n, A, &lda, &ilo_copy, &ihi_copy, scale, info);
488 void LAPACK<int, float>::GEBAL(
const char& JOBZ,
const int& n,
float* A,
const int& lda,
int* ilo,
int* ihi,
float* scale,
int* info)
const 489 { SGEBAL_F77(CHAR_MACRO(JOBZ),&n, A, &lda, ilo, ihi, scale, info); }
492 void LAPACK<int, float>::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 493 { SGEBAK_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(SIDE), &n, &ilo, &ihi, scale, &m, V, &ldv, info); }
495 #ifdef HAVE_TEUCHOS_LAPACKLARND 497 {
return(SLARND_F77(&idist, seed)); }
501 { SLARNV_F77(&idist, seed, &n, v); }
505 {
return(SLAMCH_F77(CHAR_MACRO(CMACH))); }
508 int LAPACK<int, float>::ILAENV(
const int& ispec,
const std::string& NAME,
const std::string& OPTS,
const int& N1,
const int& N2,
const int& N3,
const int& N4 )
const 510 unsigned int opts_length = OPTS.length();
512 std::string temp_NAME =
"s" + NAME;
513 if (temp_NAME.substr(1,2) ==
"he") {
514 temp_NAME.replace(1,2,
"sy");
516 unsigned int name_length = temp_NAME.length();
517 return ilaenv_wrapper(&ispec, &temp_NAME[0], name_length, &OPTS[0], opts_length, &N1, &N2, &N3, &N4);
523 #if defined(HAVE_TEUCHOS_BLASFLOAT) 524 return SLAPY2_F77(&x, &y);
527 const float xabs = ST::magnitude(x);
528 const float yabs = ST::magnitude(y);
529 const float w = TEUCHOS_MAX(xabs, yabs);
530 const float z = TEUCHOS_MIN(xabs, yabs);
534 const float z_over_w = z/w;
535 return w*ST::squareroot( 1.0+(z_over_w*z_over_w));
546 { DPTTRF_F77(&n,d,e,info); }
549 void LAPACK<int, double>::PTTRS(
const int& n,
const int& nrhs,
const double* d,
const double* e,
double* B,
const int& ldb,
int* info)
const 550 { DPTTRS_F77(&n,&nrhs,d,e,B,&ldb,info); }
554 { DPOTRF_F77(CHAR_MACRO(UPLO), &n, A, &lda, info); }
557 void LAPACK<int, double>::POTRS(
const char& UPLO,
const int& n,
const int& nrhs,
const double* A,
const int& lda,
double* B,
const int& ldb,
int* info)
const 558 { DPOTRS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info); }
562 { DPOTRI_F77(CHAR_MACRO(UPLO), &n, A, &lda, info); }
565 void LAPACK<int, double>::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 566 { DPOCON_F77(CHAR_MACRO(UPLO), &n, A, &lda, &anorm, rcond, WORK, IWORK, info); }
569 void LAPACK<int, double>::POSV(
const char& UPLO,
const int& n,
const int& nrhs,
double* A,
const int& lda,
double* B,
const int& ldb,
int* info)
const 570 { DPOSV_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info); }
573 void LAPACK<int, double>::POEQU(
const int& n,
const double* A,
const int& lda,
double* S,
double* scond,
double* amax,
int* info)
const 574 { DPOEQU_F77(&n, A, &lda, S, scond, amax, info); }
577 void LAPACK<int, double>::PORFS(
const char& UPLO,
const int& n,
const int& nrhs,
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 578 { DPORFS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, B, &ldb, X, &ldx, FERR, BERR, WORK, IWORK, info); }
581 void LAPACK<int, double>::POSVX(
const char& FACT,
const char& UPLO,
const int& n,
const int& nrhs,
double* A,
const int& lda,
double* AF,
const int& ldaf,
const 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 583 char EQUED_copy = EQUED;
584 DPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHAR_MACRO(EQUED_copy), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info); }
585 void LAPACK<int, double>::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 586 { DPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHARPTR_MACRO(EQUED), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info); }
589 void LAPACK<int,double>::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 590 { DGELS_F77(CHAR_MACRO(TRANS), &m, &n, &nrhs, A, &lda, B, &ldb, WORK, &lwork, info); }
593 void LAPACK<int,double>::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 596 DGELSS_F77(&m, &n, &nrhs, A, &lda, B, &ldb, S, &rcond, rank, WORK, &lwork, info);
600 void LAPACK<int,double>::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 601 { DGELSS_F77(&m, &n, &nrhs, A, &lda, B, &ldb, S, &rcond, rank, WORK, &lwork, info); }
604 void LAPACK<int,double>::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 605 { DGGLSE_F77(&m, &n, &p, A, &lda, B, &ldb, C, D, X, WORK, &lwork, info); }
608 void LAPACK<int,double>::GEQRF(
const int& m,
const int& n,
double* A,
const int& lda,
double* TAU,
double* WORK,
const int& lwork,
int* info)
const 609 { DGEQRF_F77(&m, &n, A, &lda, TAU, WORK, &lwork, info); }
611 void LAPACK<int,double>::GEQR2 (
const int& m,
const int& n,
double A[],
const int& lda,
double TAU[],
double WORK[],
int*
const info)
const 613 DGEQR2_F77(&m, &n, A, &lda, TAU, WORK, info);
617 { DGETRF_F77(&m, &n, A, &lda, IPIV, info); }
620 void LAPACK<int,double>::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 621 { DGETRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, IPIV, B, &ldb, info); }
624 void LAPACK<int,double>::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 625 { DLASCL_F77(CHAR_MACRO(TYPE), &kl, &ku, &cfrom, &cto, &m, &n, A, &lda, info); }
627 void LAPACK<int,double>::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 630 DGEQP3_F77(&m, &n, A, &lda, jpvt, TAU, WORK, &lwork, info);
640 const int& INCX)
const 642 DLASWP_F77(&N, A, &LDA, &K1, &K2, IPIV, &INCX);
645 void LAPACK<int,double>::GBTRF(
const int& m,
const int& n,
const int& kl,
const int& ku,
double* A,
const int& lda,
int* IPIV,
int* info)
const 646 { DGBTRF_F77(&m, &n, &kl, &ku, A, &lda, IPIV, info); }
649 void LAPACK<int,double>::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 650 { DGBTRS_F77(CHAR_MACRO(TRANS), &n, &kl, &ku, &nrhs, A, &lda, IPIV, B, &ldb, info); }
654 { DGTTRF_F77(&n, dl, d, du, du2, IPIV, info); }
657 void LAPACK<int,double>::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 658 { DGTTRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, dl, d, du, du2, IPIV, B, &ldb, info); }
661 void LAPACK<int,double>::GETRI(
const int& n,
double* A,
const int& lda,
const int* IPIV,
double* WORK,
const int& lwork,
int* info)
const 662 { DGETRI_F77(&n, A, &lda, IPIV, WORK, &lwork, info); }
677 DLATRS_F77(CHAR_MACRO(UPLO),
690 void LAPACK<int,double>::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 691 { DGECON_F77(CHAR_MACRO(NORM), &n, A, &lda, &anorm, rcond, WORK, IWORK, info); }
694 void LAPACK<int,double>::GBCON(
const char& NORM,
const int& n,
const int& kl,
const int& ku,
const double* A,
const int& lda,
int* IPIV,
const double& anorm,
double* rcond,
double* WORK,
int* IWORK,
int* info)
const 695 { DGBCON_F77(CHAR_MACRO(NORM), &n, &kl, &ku, A, &lda, IPIV, &anorm, rcond, WORK, IWORK, info); }
698 double LAPACK<int,double>::LANGB(
const char& NORM,
const int& n,
const int& kl,
const int& ku,
const double* A,
const int& lda,
double* WORK)
const 699 {
return( DLANGB_F77(CHAR_MACRO(NORM), &n, &kl, &ku, A, &lda, WORK) ); }
702 void LAPACK<int,double>::GESV(
const int& n,
const int& nrhs,
double* A,
const int& lda,
int* IPIV,
double* B,
const int& ldb,
int* info)
const 703 { DGESV_F77(&n, &nrhs, A, &lda, IPIV, B, &ldb, info); }
706 void LAPACK<int,double>::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 707 { DGEEQU_F77(&m, &n, A, &lda, R, C, rowcond, colcond, amax, info); }
710 void LAPACK<int,double>::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 711 { DGERFS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, IWORK, info); }
714 void LAPACK<int,double>::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 715 { DGBEQU_F77(&m, &n, &kl, &ku, A, &lda, R, C, rowcond, colcond, amax, info); }
718 void LAPACK<int,double>::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 719 { DGBRFS_F77(CHAR_MACRO(TRANS), &n, &kl, &ku, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, IWORK, info); }
722 void LAPACK<int,double>::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,
const 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 724 char EQUED_copy = EQUED;
725 DGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHAR_MACRO(EQUED_copy), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info); }
726 void LAPACK<int,double>::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 727 { DGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHARPTR_MACRO(EQUED), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, IWORK, info); }
730 void LAPACK<int,double>::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 731 { DSYTRD_F77(CHAR_MACRO(UPLO), &n, A, &lda, D, E, TAU, WORK, &lwork, info); }
734 void LAPACK<int, double>::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 735 { DGEHRD_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info); }
738 void LAPACK<int,double>::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 739 { DTRTRS_F77(CHAR_MACRO(UPLO), CHAR_MACRO(TRANS), CHAR_MACRO(DIAG), &n, &nrhs, A, &lda, B, &ldb, info); }
742 void LAPACK<int,double>::TRTRI(
const char& UPLO,
const char& DIAG,
const int& n,
const double* A,
const int& lda,
int* info)
const 743 { DTRTRI_F77(CHAR_MACRO(UPLO), CHAR_MACRO(DIAG), &n, A, &lda, info); }
746 void LAPACK<int,double>::SPEV(
const char& JOBZ,
const char& UPLO,
const int& n,
double* AP,
double* W,
double* Z,
const int& ldz,
double* WORK,
int* info)
const 747 { DSPEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, AP, W, Z, &ldz, WORK, info); }
750 void LAPACK<int,double>::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 752 DSYEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, info);
756 void LAPACK<int,double>::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 758 DSYGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, info);
762 void LAPACK<int,double>::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 764 DSYEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, info);
768 void LAPACK<int,double>::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 770 DSYGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, info);
774 void LAPACK<int,double>::STEQR(
const char& COMPZ,
const int& n,
double* D,
double* E,
double* Z,
const int& ldz,
double* WORK,
int* info)
const 776 DSTEQR_F77(CHAR_MACRO(COMPZ), &n, D, E, Z, &ldz, WORK, info);
780 void LAPACK<int, double>::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 782 DHSEQR_F77(CHAR_MACRO(JOB), CHAR_MACRO(COMPZ), &n, &ilo, &ihi, H, &ldh, WR, WI, Z, &ldz, WORK, &lwork, info);
786 void LAPACK<int, double>::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 788 DGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(SORT), ptr2func, &n, A, &lda, sdim, WR, WI, VS, &ldvs, WORK, &lwork, BWORK, info);
792 void LAPACK<int, double>::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 795 gees_nullfptr_t nullfptr = 0;
796 const char sort =
'N';
797 DGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(sort), nullfptr, &n, A, &lda, sdim, WR, WI, VS, &ldvs, WORK, &lwork, BWORK, info);
801 void LAPACK<int, double>::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 803 DGEEV_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), &n, A, &lda, WR, WI, VL, &ldvl, VR, &ldvr, WORK, &lwork, info);
806 void LAPACK<int, double>::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* ,
int* info)
const 808 GEEV (JOBVL, JOBVR, n, A, lda, WR, WI, VL, ldvl, VR, ldvr, WORK, lwork, info);
812 void LAPACK<int, double>::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 {
813 DGESVD_F77(CHAR_MACRO(JOBU), CHAR_MACRO(JOBVT), &m, &n, A, &lda, S, U, &ldu, V, &ldv, WORK, &lwork, info);
817 void LAPACK<int,double>::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 819 DGEEVX_F77(CHAR_MACRO(BALANC), CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), CHAR_MACRO(SENSE), &n, A, &lda, WR, WI, VL, &ldvl, VR, &ldvr, ilo, ihi, SCALE, abnrm, RCONDE, RCONDV, WORK, &lwork, IWORK, info);
823 void LAPACK<int, double>::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 825 DGGEVX_F77(CHAR_MACRO(BALANC), CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), CHAR_MACRO(SENSE), &n, A, &lda, B, &ldb, ALPHAR, ALPHAI, BETA, VL, &ldvl, VR, &ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, RCONDE, RCONDV, WORK, &lwork, IWORK, BWORK, info);
828 void LAPACK<int, double>::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* ,
int* IWORK,
int* BWORK,
int* info)
const 830 GGEVX(BALANC, JOBVL, JOBVR, SENSE, n, A, lda, B, ldb, ALPHAR, ALPHAI, BETA, VL, ldvl, VR, ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, RCONDE, RCONDV, WORK, lwork, IWORK, BWORK, info);
833 void LAPACK<int, double>::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 835 DGGEV_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), &n, A, &lda, B, &ldb, ALPHAR, ALPHAI, BETA, VL, &ldvl, VR, &ldvr, WORK, &lwork, info);
838 void LAPACK<int, double>::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 839 { DTRSEN_F77(CHAR_MACRO(JOB), CHAR_MACRO(COMPQ), SELECT, &n, T, &ldt, Q, &ldq, WR, WI, M, S, SEP, WORK, &lwork, IWORK, &liwork, info); }
842 void LAPACK<int, double>::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 843 { DTGSEN_F77(&ijob, &wantq, &wantz, SELECT, &n, A, &lda, B, &ldb, ALPHAR, ALPHAI, BETA, Q, &ldq, Z, &ldz, M, PL, PR, DIF, WORK, &lwork, IWORK, &liwork, info); }
846 void LAPACK<int, double>::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 847 { DGGES_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), CHAR_MACRO(SORT), ptr2func, &n, A, &lda, B, &ldb, sdim, ALPHAR, ALPHAI, BETA, VL, &ldvl, VR, &ldvr, WORK, &lwork, BWORK, info); }
850 void LAPACK<int, double>::ORMQR(
const char& SIDE,
const char& TRANS,
const int& m,
const int& n,
const int& k,
double* A,
const int& lda,
const double* TAU,
double* C,
const int& ldc,
double* WORK,
const int& lwork,
int* info)
const 852 DORMQR_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &k, A, &lda, TAU, C, &ldc, WORK, &lwork, info);
855 void LAPACK<int, double>::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 857 DORM2R_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &k, A, &lda, TAU, C, &ldc, WORK, info);
860 void LAPACK<int, double>::UNMQR(
const char& SIDE,
const char& TRANS,
const int& m,
const int& n,
const int& k,
double* A,
const int& lda,
const double* TAU,
double* C,
const int& ldc,
double* WORK,
const int& lwork,
int* info)
const 865 ORMQR (SIDE, TRANS, m, n, k, A, lda, TAU, C, ldc, WORK, lwork, info);
868 void LAPACK<int, double>::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 873 ORM2R (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO);
876 void LAPACK<int, double>::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 878 DORGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info);
882 void LAPACK<int, double>::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 884 DORGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info);
888 void LAPACK<int, double>::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 890 DORGHR_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info);
894 void LAPACK<int, double>::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 896 DORMHR_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &ilo, &ihi, A, &lda, TAU, C, &ldc, WORK, &lwork, info);
900 void LAPACK<int, double>::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 902 DTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(HOWMNY), select, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, info);
906 void LAPACK<int, double>::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 908 std::vector<int> select(1);
909 const char whch =
'A';
910 DTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(whch), &select[0], &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, info);
914 void LAPACK<int, double>::TREXC(
const char& COMPQ,
const int& n,
double* T,
const int& ldt,
double* Q,
const int& ldq,
const int& ifst,
const int& ilst,
double* WORK,
int* info)
const 916 int ifst_copy = ifst;
917 int ilst_copy = ilst;
918 DTREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, &ifst_copy, &ilst_copy, WORK, info);
920 void LAPACK<int, double>::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 922 DTREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, ifst, ilst, WORK, info);
926 void LAPACK<int, double>::TGEVC(
const char& SIDE,
const char& HOWMNY,
const int* SELECT,
const int& n,
double* S,
const int& lds,
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 927 { DTGEVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(HOWMNY), SELECT, &n, S, &lds, P, &ldp, VL, &ldvl, VR, &ldvr, &mm, M, WORK, info); }
932 DLARTG_F77(&f, &g, c, s, r);
938 DLARFG_F77(&n, alpha, x, &incx, tau);
942 void LAPACK<int, double>::GEBAL(
const char& JOBZ,
const int& n,
double* A,
const int& lda,
const int& ilo,
const int& ihi,
double* scale,
int* info)
const 946 DGEBAL_F77(CHAR_MACRO(JOBZ),&n, A, &lda, &ilo_copy, &ihi_copy, scale, info);
948 void LAPACK<int, double>::GEBAL(
const char& JOBZ,
const int& n,
double* A,
const int& lda,
int* ilo,
int* ihi,
double* scale,
int* info)
const 950 DGEBAL_F77(CHAR_MACRO(JOBZ),&n, A, &lda, ilo, ihi, scale, info);
954 void LAPACK<int, double>::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 956 DGEBAK_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(SIDE), &n, &ilo, &ihi, scale, &m, V, &ldv, info);
960 #ifdef HAVE_TEUCHOS_LAPACKLARND 963 return(DLARND_F77(&idist, seed));
969 DLARNV_F77(&idist, seed, &n, v);
975 return(DLAMCH_F77(CHAR_MACRO(CMACH)));
979 int LAPACK<int, double>::ILAENV(
const int& ispec,
const std::string& NAME,
const std::string& OPTS,
const int& N1,
const int& N2,
const int& N3,
const int& N4 )
const 981 unsigned int opts_length = OPTS.length();
983 std::string temp_NAME =
"d" + NAME;
984 if (temp_NAME.substr(1,2) ==
"he") {
985 temp_NAME.replace(1,2,
"sy");
987 unsigned int name_length = temp_NAME.length();
988 return ilaenv_wrapper(&ispec, &temp_NAME[0], name_length, &OPTS[0], opts_length, &N1, &N2, &N3, &N4);
994 return DLAPY2_F77(&x, &y);
999 #ifdef HAVE_TEUCHOS_COMPLEX 1006 CPTTRF_F77(&n,d,e,info);
1010 void LAPACK<int, std::complex<float> >::PTTRS(
const int& n,
const int& nrhs,
const std::complex<float>* d,
const std::complex<float>* e, std::complex<float>* B,
const int& ldb,
int* info)
const 1012 CPTTRS_F77(&n,&nrhs,d,e,B,&ldb,info);
1018 CPOTRF_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
1022 void LAPACK<int, std::complex<float> >::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 1024 CPOTRS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
1030 CPOTRI_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
1034 void LAPACK<int, std::complex<float> >::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 1036 CPOCON_F77(CHAR_MACRO(UPLO), &n, A, &lda, &anorm, rcond, WORK, RWORK, info);
1040 void LAPACK<int, std::complex<float> >::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 1042 CPOSV_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
1046 void LAPACK<int, std::complex<float> >::POEQU(
const int& n,
const std::complex<float>* A,
const int& lda,
float* S,
float* scond,
float* amax,
int* info)
const 1048 CPOEQU_F77(&n, A, &lda, S, scond, amax, info);
1052 void LAPACK<int, std::complex<float> >::PORFS(
const char& UPLO,
const int& n,
const int& nrhs, 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 1054 CPORFS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, B, &ldb, X, &ldx, FERR, BERR, WORK, RWORK, info);
1058 void LAPACK<int, std::complex<float> >::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,
const 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 1060 char EQUED_copy = EQUED;
1061 CPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHAR_MACRO(EQUED_copy), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
1063 void LAPACK<int, std::complex<float> >::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 1065 CPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHARPTR_MACRO(EQUED), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
1069 void LAPACK<int,std::complex<float> >::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 1071 CGELS_F77(CHAR_MACRO(TRANS), &m, &n, &nrhs, A, &lda, B, &ldb, WORK, &lwork, info);
1074 void LAPACK<int, std::complex<float> >::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 1076 CGELSS_F77(&m, &n, &nrhs, A, &lda, B, &ldb, S, &rcond, rank, WORK, &lwork, rwork, info);
1079 void LAPACK<int,std::complex<float> >::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 1081 CGEQRF_F77(&m, &n, A, &lda, TAU, WORK, &lwork, info);
1084 void LAPACK<int,std::complex<float> >::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 1086 CGEQR2_F77(&m, &n, A, &lda, TAU, WORK, info);
1089 void LAPACK<int,std::complex<float> >::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 1091 CUNGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info);
1094 void LAPACK<int,std::complex<float> >::UNMQR(
const char& SIDE,
const char& TRANS,
const int& m,
const int& n,
const int& k, 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 1096 CUNMQR_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &k, A, &lda, TAU, C, &ldc, WORK, &lwork, info);
1099 void LAPACK<int,std::complex<float> >::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 1101 CUNM2R_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &M, &N, &K, A, &LDA, TAU, C, &LDC, WORK, INFO);
1106 CGETRF_F77(&m, &n, A, &lda, IPIV, info);
1109 void LAPACK<int,std::complex<float> >::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 1111 CGETRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, IPIV, B, &ldb, info);
1114 void LAPACK<int,std::complex<float> >::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 1115 { CLASCL_F77(CHAR_MACRO(TYPE), &kl, &ku, &cfrom, &cto, &m, &n, A, &lda, info); }
1117 void LAPACK<int,std::complex<float> >::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 1119 CGEQP3_F77(&m, &n, A, &lda, jpvt, TAU, WORK, &lwork, RWORK, info);
1123 LASWP (
const int& N,
1124 std::complex<float> A[],
1129 const int& INCX)
const 1131 CLASWP_F77(&N, A, &LDA, &K1, &K2, IPIV, &INCX);
1134 void LAPACK<int,std::complex<float> >::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 1136 CGBTRF_F77(&m, &kl, &ku, &n, A, &lda, IPIV, info);
1140 void LAPACK<int,std::complex<float> >::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 1142 CGBTRS_F77(CHAR_MACRO(TRANS), &n, &kl, &ku, &nrhs, A, &lda, IPIV, B, &ldb, info);
1146 void LAPACK<int,std::complex<float> >::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 1148 CGTTRF_F77(&n, dl, d, du, du2, IPIV, info);
1152 void LAPACK<int,std::complex<float> >::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 1154 CGTTRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, dl, d, du, du2, IPIV, B, &ldb, info);
1158 void LAPACK<int,std::complex<float> >::GETRI(
const int& n, std::complex<float>* A,
const int& lda,
const int* IPIV, std::complex<float>* WORK,
const int& lwork,
int* info)
const 1160 CGETRI_F77(&n, A, &lda, IPIV, WORK, &lwork, info);
1170 std::complex<float>* A,
1172 std::complex<float>* X,
1177 CLATRS_F77(CHAR_MACRO(UPLO),
1191 void LAPACK<int,std::complex<float> >::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 1193 CGECON_F77(CHAR_MACRO(NORM), &n, A, &lda, &anorm, rcond, WORK, RWORK, info);
1197 void LAPACK<int,std::complex<float> >::GBCON(
const char& NORM,
const int& n,
const int& kl,
const int& ku,
const std::complex<float>* A,
const int& lda,
int* IPIV,
const float& anorm,
float* rcond, std::complex<float>* WORK,
float* RWORK,
int* info)
const 1199 CGBCON_F77(CHAR_MACRO(NORM), &n, &kl, &ku, A, &lda, IPIV, &anorm, rcond, WORK, RWORK, info);
1203 float LAPACK<int,std::complex<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 1205 return( CLANGB_F77(CHAR_MACRO(NORM), &n, &kl, &ku, A, &lda, WORK) );
1209 void LAPACK<int,std::complex<float> >::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 1211 CGESV_F77(&n, &nrhs, A, &lda, IPIV, B, &ldb, info);
1215 void LAPACK<int,std::complex<float> >::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 1217 CGEEQU_F77(&m, &n, A, &lda, R, C, rowcond, colcond, amax, info);
1221 void LAPACK<int,std::complex<float> >::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 1223 CGERFS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, RWORK, info);
1227 void LAPACK<int,std::complex<float> >::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 1229 CGBEQU_F77(&m, &n, &kl, &ku, A, &lda, R, C, rowcond, colcond, amax, info);
1233 void LAPACK<int,std::complex<float> >::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 1235 CGBRFS_F77(CHAR_MACRO(TRANS), &n, &kl, &ku, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, RWORK, info);
1239 void LAPACK<int,std::complex<float> >::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,
const 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 1241 char EQUED_copy = EQUED;
1242 CGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHAR_MACRO(EQUED_copy), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
1244 void LAPACK<int,std::complex<float> >::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 1246 CGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHARPTR_MACRO(EQUED), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
1250 void LAPACK<int,std::complex<float> >::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 1252 CGEHRD_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info);
1256 void LAPACK<int,std::complex<float> >::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 1258 CTRTRS_F77(CHAR_MACRO(UPLO), CHAR_MACRO(TRANS), CHAR_MACRO(DIAG), &n, &nrhs, A, &lda, B, &ldb, info);
1262 void LAPACK<int,std::complex<float> >::TRTRI(
const char& UPLO,
const char& DIAG,
const int& n,
const std::complex<float>* A,
const int& lda,
int* info)
const 1264 CTRTRI_F77(CHAR_MACRO(UPLO), CHAR_MACRO(DIAG), &n, A, &lda, info);
1268 void LAPACK<int,std::complex<float> >::STEQR(
const char& COMPZ,
const int& n,
float* D,
float* E, std::complex<float>* Z,
const int& ldz,
float* WORK,
int* info)
const 1270 CSTEQR_F77(CHAR_MACRO(COMPZ), &n, D, E, Z, &ldz, WORK, info);
1274 void LAPACK<int,std::complex<float> >::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 1276 CHEEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, RWORK, info);
1280 void LAPACK<int,std::complex<float> >::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 1282 CHEGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, RWORK, info);
1286 void LAPACK<int, std::complex<float> >::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 1288 CHSEQR_F77(CHAR_MACRO(JOB), CHAR_MACRO(COMPZ), &n, &ilo, &ihi, H, &ldh, W, Z, &ldz, WORK, &lwork, info);
1292 void LAPACK<int, std::complex<float> >::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 1294 CGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(SORT), ptr2func, &n, A, &lda, sdim, W, VS, &ldvs, WORK, &lwork, RWORK, BWORK, info);
1298 void LAPACK<int, std::complex<float> >::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 1300 int (*nullfptr)(std::complex<float>*) = NULL;
1301 std::vector< std::complex<float> > W(n);
1302 const char sort =
'N';
1303 CGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(sort), nullfptr, &n, A, &lda, sdim, &W[0], VS, &ldvs, WORK, &lwork, RWORK, BWORK, info);
1304 for (
int i=0; i<n; i++) {
1305 WR[i] = W[i].real();
1306 WI[i] = W[i].imag();
1311 void LAPACK<int, std::complex<float> >::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 1313 CGEEV_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), &n, A, &lda, W, VL, &ldvl, VR, &ldvr, WORK, &lwork, RWORK, info);
1316 void LAPACK<int, std::complex<float> >::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 1318 std::vector<std::complex<float> > w (n);
1319 std::complex<float>* w_rawPtr = (n == 0) ? NULL : &w[0];
1320 GEEV (JOBVL, JOBVR, n, A, lda, w_rawPtr, VL, ldvl, VR, ldvr, WORK, lwork, RWORK, info);
1324 for (
int k = 0; k < n; ++k) {
1325 WR[k] = w[k].real ();
1326 WI[k] = w[k].imag ();
1331 void LAPACK<int, std::complex<float> >::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 {
1332 CGESVD_F77(CHAR_MACRO(JOBU), CHAR_MACRO(JOBVT), &m, &n, A, &lda, S, U, &ldu, V, &ldv, WORK, &lwork, RWORK, info);
1336 void LAPACK<int, std::complex<float> >::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 1338 CGEEVX_F77(CHAR_MACRO(BALANC), CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), CHAR_MACRO(SENSE), &n, A, &lda, W, VL, &ldvl, VR, &ldvr, ilo, ihi, SCALE, abnrm, RCONDE, RCONDV, WORK, &lwork, RWORK, info);
1342 void LAPACK<int, std::complex<float> >::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 1344 CGGEVX_F77(CHAR_MACRO(BALANC), CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), CHAR_MACRO(SENSE), &n, A, &lda, B, &ldb, ALPHA, BETA, VL, &ldvl, VR, &ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, RCONDE, RCONDV, WORK, &lwork, RWORK, IWORK, BWORK, info);
1347 void LAPACK<int, std::complex<float> >::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 1349 std::vector<std::complex<float> > w (n);
1350 std::complex<float>* w_rawPtr = (n == 0) ? NULL : &w[0];
1351 GGEVX(BALANC, JOBVL, JOBVR, SENSE, n, A, lda, B, ldb, w_rawPtr, BETA, VL, ldvl, VR, ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, RCONDE, RCONDV, WORK, lwork, RWORK, IWORK, BWORK, info);
1355 for (
int k = 0; k < n; ++k) {
1356 ALPHAR[k] = w[k].real ();
1357 ALPHAI[k] = w[k].imag ();
1363 void LAPACK<int, std::complex<float> >::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 1365 CTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(HOWMNY), select, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, RWORK, info);
1369 void LAPACK<int, std::complex<float> >::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 1371 std::vector<int> select(1);
1372 const char& whch =
'A';
1373 CTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(whch), &select[0], &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, RWORK, info);
1377 void LAPACK<int, std::complex<float> >::TREXC(
const char& COMPQ,
const int& n, std::complex<float>* T,
const int& ldt, std::complex<float>* Q,
const int& ldq,
const int& ifst,
const int& ilst, std::complex<float>* WORK,
int* info)
const 1379 CTREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, &ifst, &ilst, info);
1382 void LAPACK<int, std::complex<float> >::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 1384 CTREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, ifst, ilst, info);
1388 void LAPACK<int, std::complex<float> >::LARTG(
const std::complex<float> f,
const std::complex<float> g,
float* c, std::complex<float>* s, std::complex<float>* r )
const 1390 CLARTG_F77(&f, &g, c, s, r);
1394 void LAPACK<int, std::complex<float> >::LARFG(
const int& n, std::complex<float>* alpha, std::complex<float>* x,
const int& incx, std::complex<float>* tau )
const 1396 CLARFG_F77(&n, alpha, x, &incx, tau);
1400 void LAPACK<int, std::complex<float> >::GEBAL(
const char& JOBZ,
const int& n, std::complex<float>* A,
const int& lda,
const int& ilo,
const int& ihi,
float* scale,
int* info)
const 1404 CGEBAL_F77(CHAR_MACRO(JOBZ),&n, A, &lda, &ilo_copy, &ihi_copy, scale, info);
1406 void LAPACK<int, std::complex<float> >::GEBAL(
const char& JOBZ,
const int& n, std::complex<float>* A,
const int& lda,
int* ilo,
int* ihi,
float* scale,
int* info)
const 1408 CGEBAL_F77(CHAR_MACRO(JOBZ),&n, A, &lda, ilo, ihi, scale, info);
1412 void LAPACK<int, std::complex<float> >::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 1414 CGEBAK_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(SIDE), &n, &ilo, &ihi, scale, &m, V, &ldv, info);
1418 #ifdef HAVE_TEUCHOS_LAPACKLARND 1421 return(CLARND_F77(&idist, seed));
1427 CLARNV_F77(&idist, seed, &n, v);
1431 int LAPACK<int, std::complex<float> >::ILAENV(
const int& ispec,
const std::string& NAME,
const std::string& OPTS,
const int& N1,
const int& N2,
const int& N3,
const int& N4 )
const 1433 unsigned int opts_length = OPTS.length();
1434 std::string temp_NAME =
"c" + NAME;
1435 unsigned int name_length = temp_NAME.length();
1436 return ilaenv_wrapper(&ispec, &temp_NAME[0], name_length, &OPTS[0], opts_length, &N1, &N2, &N3, &N4);
1446 ZPTTRF_F77(&n,d,e,info);
1450 void LAPACK<int, std::complex<double> >::PTTRS(
const int& n,
const int& nrhs,
const std::complex<double>* d,
const std::complex<double>* e, std::complex<double>* B,
const int& ldb,
int* info)
const 1452 ZPTTRS_F77(&n,&nrhs,d,e,B,&ldb,info);
1458 ZPOTRF_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
1462 void LAPACK<int, std::complex<double> >::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 1464 ZPOTRS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
1470 ZPOTRI_F77(CHAR_MACRO(UPLO), &n, A, &lda, info);
1474 void LAPACK<int, std::complex<double> >::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 1476 ZPOCON_F77(CHAR_MACRO(UPLO), &n, A, &lda, &anorm, rcond, WORK, RWORK, info);
1480 void LAPACK<int, std::complex<double> >::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 1482 ZPOSV_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, B, &ldb, info);
1486 void LAPACK<int, std::complex<double> >::POEQU(
const int& n,
const std::complex<double>* A,
const int& lda,
double* S,
double* scond,
double* amax,
int* info)
const 1488 ZPOEQU_F77(&n, A, &lda, S, scond, amax, info);
1492 void LAPACK<int, std::complex<double> >::PORFS(
const char& UPLO,
const int& n,
const int& nrhs, 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 1494 ZPORFS_F77(CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, B, &ldb, X, &ldx, FERR, BERR, WORK, RWORK, info);
1498 void LAPACK<int, std::complex<double> >::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,
const 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 1500 char EQUED_copy = EQUED;
1501 ZPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHAR_MACRO(EQUED_copy), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
1503 void LAPACK<int, std::complex<double> >::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 1505 ZPOSVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(UPLO), &n, &nrhs, A, &lda, AF, &ldaf, CHARPTR_MACRO(EQUED), S, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
1509 void LAPACK<int,std::complex<double> >::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 1511 ZGELS_F77(CHAR_MACRO(TRANS), &m, &n, &nrhs, A, &lda, B, &ldb, WORK, &lwork, info);
1515 void LAPACK<int, std::complex<double> >::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 1517 ZGELSS_F77(&m, &n, &nrhs, A, &lda, B, &ldb, S, &rcond, rank, WORK, &lwork, rwork, info);
1521 void LAPACK<int,std::complex<double> >::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 1523 ZGEQRF_F77(&m, &n, A, &lda, TAU, WORK, &lwork, info);
1526 void LAPACK<int,std::complex<double> >::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 1528 ZGEQR2_F77(&m, &n, A, &lda, TAU, WORK, info);
1531 void LAPACK<int,std::complex<double> >::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 1533 ZUNGQR_F77( &m, &n, &k, A, &lda, TAU, WORK, &lwork, info);
1537 void LAPACK<int,std::complex<double> >::UNMQR(
const char& SIDE,
const char& TRANS,
const int& m,
const int& n,
const int& k, 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 1539 ZUNMQR_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &m, &n, &k, A, &lda, TAU, C, &ldc, WORK, &lwork, info);
1542 void LAPACK<int,std::complex<double> >::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 1544 ZUNM2R_F77(CHAR_MACRO(SIDE), CHAR_MACRO(TRANS), &M, &N, &K, A, &LDA, TAU, C, &LDC, WORK, INFO);
1549 ZGETRF_F77(&m, &n, A, &lda, IPIV, info);
1553 void LAPACK<int,std::complex<double> >::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 1555 ZGETRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, IPIV, B, &ldb, info);
1559 void LAPACK<int,std::complex<double> >::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 1560 { ZLASCL_F77(CHAR_MACRO(TYPE), &kl, &ku, &cfrom, &cto, &m, &n, A, &lda, info); }
1562 void LAPACK<int,std::complex<double> >::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 1564 ZGEQP3_F77(&m, &n, A, &lda, jpvt, TAU, WORK, &lwork, RWORK, info);
1568 LASWP (
const int& N,
1569 std::complex<double> A[],
1574 const int& INCX)
const 1576 ZLASWP_F77(&N, A, &LDA, &K1, &K2, IPIV, &INCX);
1579 void LAPACK<int,std::complex<double> >::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 1581 ZGBTRF_F77(&m, &n, &kl, &ku, A, &lda, IPIV, info);
1585 void LAPACK<int,std::complex<double> >::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 1587 ZGBTRS_F77(CHAR_MACRO(TRANS), &n, &kl, &ku, &nrhs, A, &lda, IPIV, B, &ldb, info);
1591 void LAPACK<int,std::complex<double> >::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 1593 ZGTTRF_F77(&n, dl, d, du, du2, IPIV, info);
1597 void LAPACK<int,std::complex<double> >::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 1599 ZGTTRS_F77(CHAR_MACRO(TRANS), &n, &nrhs, dl, d, du, du2, IPIV, B, &ldb, info);
1603 void LAPACK<int,std::complex<double> >::GETRI(
const int& n, std::complex<double>* A,
const int& lda,
const int* IPIV, std::complex<double>* WORK,
const int& lwork,
int* info)
const 1605 ZGETRI_F77(&n, A, &lda, IPIV, WORK, &lwork, info);
1614 std::complex<double>* A,
1616 std::complex<double>* X,
1621 ZLATRS_F77(CHAR_MACRO(UPLO),
1634 void LAPACK<int,std::complex<double> >::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 1636 ZGECON_F77(CHAR_MACRO(NORM), &n, A, &lda, &anorm, rcond, WORK, RWORK, info);
1640 void LAPACK<int,std::complex<double> >::GBCON(
const char& NORM,
const int& n,
const int& kl,
const int& ku,
const std::complex<double>* A,
const int& lda,
int* IPIV,
const double& anorm,
double* rcond, std::complex<double>* WORK,
double* RWORK,
int* info)
const 1642 ZGBCON_F77(CHAR_MACRO(NORM), &n, &kl, &ku, A, &lda, IPIV, &anorm, rcond, WORK, RWORK, info);
1646 double LAPACK<int,std::complex<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 1648 return( ZLANGB_F77(CHAR_MACRO(NORM), &n, &kl, &ku, A, &lda, WORK) );
1652 void LAPACK<int,std::complex<double> >::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 1654 ZGESV_F77(&n, &nrhs, A, &lda, IPIV, B, &ldb, info);
1658 void LAPACK<int,std::complex<double> >::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 1660 ZGEEQU_F77(&m, &n, A, &lda, R, C, rowcond, colcond, amax, info);
1664 void LAPACK<int,std::complex<double> >::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 1666 ZGERFS_F77(CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, RWORK, info);
1670 void LAPACK<int,std::complex<double> >::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 1672 ZGBEQU_F77(&m, &n, &kl, &ku, A, &lda, R, C, rowcond, colcond, amax, info);
1676 void LAPACK<int,std::complex<double> >::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 1678 ZGBRFS_F77(CHAR_MACRO(TRANS), &n, &kl, &ku, &nrhs, A, &lda, AF, &ldaf, IPIV, B, &ldb, X, &ldx, FERR, BERR, WORK, RWORK, info);
1682 void LAPACK<int,std::complex<double> >::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,
const 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 1684 char EQUED_copy = EQUED;
1685 ZGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHAR_MACRO(EQUED_copy), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
1687 void LAPACK<int,std::complex<double> >::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 1689 ZGESVX_F77(CHAR_MACRO(FACT), CHAR_MACRO(TRANS), &n, &nrhs, A, &lda, AF, &ldaf, IPIV, CHARPTR_MACRO(EQUED), R, C, B, &ldb, X, &ldx, rcond, FERR, BERR, WORK, RWORK, info);
1693 void LAPACK<int,std::complex<double> >::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 1695 ZGEHRD_F77(&n, &ilo, &ihi, A, &lda, TAU, WORK, &lwork, info);
1699 void LAPACK<int,std::complex<double> >::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 1701 ZTRTRS_F77(CHAR_MACRO(UPLO), CHAR_MACRO(TRANS), CHAR_MACRO(DIAG), &n, &nrhs, A, &lda, B, &ldb, info);
1705 void LAPACK<int,std::complex<double> >::TRTRI(
const char& UPLO,
const char& DIAG,
const int& n,
const std::complex<double>* A,
const int& lda,
int* info)
const 1707 ZTRTRI_F77(CHAR_MACRO(UPLO), CHAR_MACRO(DIAG), &n, A, &lda, info);
1711 void LAPACK<int,std::complex<double> >::STEQR(
const char& COMPZ,
const int& n,
double* D,
double* E, std::complex<double>* Z,
const int& ldz,
double* WORK,
int* info)
const 1713 ZSTEQR_F77(CHAR_MACRO(COMPZ), &n, D, E, Z, &ldz, WORK, info);
1717 void LAPACK<int,std::complex<double> >::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 1719 ZHEEV_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, W, WORK, &lwork, RWORK, info);
1723 void LAPACK<int,std::complex<double> >::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 1725 ZHEGV_F77(&itype, CHAR_MACRO(JOBZ), CHAR_MACRO(UPLO), &n, A, &lda, B, &ldb, W, WORK, &lwork, RWORK, info);
1729 void LAPACK<int, std::complex<double> >::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 1731 ZHSEQR_F77(CHAR_MACRO(JOB), CHAR_MACRO(COMPZ), &n, &ilo, &ihi, H, &ldh, W, Z, &ldz, WORK, &lwork, info);
1735 void LAPACK<int, std::complex<double> >::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 1737 ZGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(SORT), ptr2func, &n, A, &lda, sdim, W, VS, &ldvs, WORK, &lwork, RWORK, BWORK, info);
1741 void LAPACK<int, std::complex<double> >::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 1743 int (*nullfptr)(std::complex<double>*) = NULL;
1744 std::vector< std::complex<double> > W(n);
1745 const char sort =
'N';
1746 ZGEES_F77(CHAR_MACRO(JOBVS), CHAR_MACRO(sort), nullfptr, &n, A, &lda, sdim, &W[0], VS, &ldvs, WORK, &lwork, RWORK, BWORK, info);
1747 for (
int i=0; i<n; i++) {
1748 WR[i] = W[i].real();
1749 WI[i] = W[i].imag();
1754 void LAPACK<int, std::complex<double> >::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 1756 ZGEEV_F77(CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), &n, A, &lda, W, VL, &ldvl, VR, &ldvr, WORK, &lwork, RWORK, info);
1760 void LAPACK<int, std::complex<double> >::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 1762 std::vector<std::complex<double> > w (n);
1763 std::complex<double>* w_rawPtr = (n == 0) ? NULL : &w[0];
1764 GEEV (JOBVL, JOBVR, n, A, lda, w_rawPtr, VL, ldvl, VR, ldvr, WORK, lwork, RWORK, info);
1768 for (
int k = 0; k < n; ++k) {
1769 WR[k] = w[k].real ();
1770 WI[k] = w[k].imag ();
1776 void LAPACK<int, std::complex<double> >::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 {
1777 ZGESVD_F77(CHAR_MACRO(JOBU), CHAR_MACRO(JOBVT), &m, &n, A, &lda, S, U, &ldu, V, &ldv, WORK, &lwork, RWORK, info);
1780 void LAPACK<int, std::complex<double> >::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 1782 ZGEEVX_F77(CHAR_MACRO(BALANC), CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), CHAR_MACRO(SENSE), &n, A, &lda, W, VL, &ldvl, VR, &ldvr, ilo, ihi, SCALE, abnrm, RCONDE, RCONDV, WORK, &lwork, RWORK, info);
1785 void LAPACK<int, std::complex<double> >::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 1787 ZGGEVX_F77(CHAR_MACRO(BALANC), CHAR_MACRO(JOBVL), CHAR_MACRO(JOBVR), CHAR_MACRO(SENSE), &n, A, &lda, B, &ldb, ALPHA, BETA, VL, &ldvl, VR, &ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, RCONDE, RCONDV, WORK, &lwork, RWORK, IWORK, BWORK, info);
1790 void LAPACK<int, std::complex<double> >::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 1792 std::vector<std::complex<double> > w (n);
1793 std::complex<double>* w_rawPtr = (n == 0) ? NULL : &w[0];
1794 GGEVX(BALANC, JOBVL, JOBVR, SENSE, n, A, lda, B, ldb, w_rawPtr, BETA, VL, ldvl, VR, ldvr, ilo, ihi, lscale, rscale, abnrm, bbnrm, RCONDE, RCONDV, WORK, lwork, RWORK, IWORK, BWORK, info);
1798 for (
int k = 0; k < n; ++k) {
1799 ALPHAR[k] = w[k].real ();
1800 ALPHAI[k] = w[k].imag ();
1805 void LAPACK<int, std::complex<double> >::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 1807 ZTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(HOWMNY), select, &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, RWORK, info);
1811 void LAPACK<int, std::complex<double> >::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 1813 std::vector<int> select(1);
1814 const char& whch =
'A';
1815 ZTREVC_F77(CHAR_MACRO(SIDE), CHAR_MACRO(whch), &select[0], &n, T, &ldt, VL, &ldvl, VR, &ldvr, &mm, m, WORK, RWORK, info);
1819 void LAPACK<int, std::complex<double> >::TREXC(
const char& COMPQ,
const int& n, std::complex<double>* T,
const int& ldt, std::complex<double>* Q,
const int& ldq,
const int& ifst,
const int& ilst, std::complex<double>* WORK,
int* info)
const 1821 ZTREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, &ifst, &ilst, info);
1824 void LAPACK<int, std::complex<double> >::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 1826 ZTREXC_F77(CHAR_MACRO(COMPQ), &n, T, &ldt, Q, &ldq, ifst, ilst, info);
1829 void LAPACK<int, std::complex<double> >::LARTG(
const std::complex<double> f,
const std::complex<double> g,
double* c, std::complex<double>* s, std::complex<double>* r )
const 1831 ZLARTG_F77(&f, &g, c, s, r);
1835 void LAPACK<int, std::complex<double> >::LARFG(
const int& n, std::complex<double>* alpha, std::complex<double>* x,
const int& incx, std::complex<double>* tau )
const 1837 ZLARFG_F77(&n, alpha, x, &incx, tau);
1841 void LAPACK<int, std::complex<double> >::GEBAL(
const char& JOBZ,
const int& n, std::complex<double>* A,
const int& lda,
const int& ilo,
const int& ihi,
double* scale,
int* info)
const 1845 ZGEBAL_F77(CHAR_MACRO(JOBZ),&n, A, &lda, &ilo_copy, &ihi_copy, scale, info);
1847 void LAPACK<int, std::complex<double> >::GEBAL(
const char& JOBZ,
const int& n, std::complex<double>* A,
const int& lda,
int* ilo,
int* ihi,
double* scale,
int* info)
const 1849 ZGEBAL_F77(CHAR_MACRO(JOBZ),&n, A, &lda, ilo, ihi, scale, info);
1853 void LAPACK<int, std::complex<double> >::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 1855 ZGEBAK_F77(CHAR_MACRO(JOBZ), CHAR_MACRO(SIDE), &n, &ilo, &ihi, scale, &m, V, &ldv, info);
1859 #ifdef HAVE_TEUCHOS_LAPACKLARND 1862 return(ZLARND_F77(&idist, seed));
1868 ZLARNV_F77(&idist, seed, &n, v);
1872 int LAPACK<int, std::complex<double> >::ILAENV(
const int& ispec,
const std::string& NAME,
const std::string& OPTS,
const int& N1,
const int& N2,
const int& N3,
const int& N4 )
const 1874 unsigned int opts_length = OPTS.length();
1875 std::string temp_NAME =
"z" + NAME;
1876 unsigned int name_length = temp_NAME.length();
1877 return ilaenv_wrapper(&ispec, &temp_NAME[0], name_length, &OPTS[0], opts_length, &N1, &N2, &N3, &N4);
1882 #endif // HAVE_TEUCHOS_COMPLEX 1885 #ifdef HAVE_TEUCHOSCORE_QUADMATH 1890 GEQRF(
const int& m,
const int& n, __float128* A,
const int& lda, __float128* TAU, __float128* WORK,
const int& lwork,
int* info)
const 1892 Teuchos::Details::Lapack128 lapack;
1893 lapack.GEQRF (m, n, A, lda, TAU, WORK, lwork, info);
1897 GEQR2(
const int& m,
const int& n, __float128 A[],
const int& lda, __float128 TAU[], __float128 WORK[],
int*
const info)
const 1899 Teuchos::Details::Lapack128 lapack;
1900 lapack.GEQR2 (m, n, A, lda, TAU, WORK, info);
1904 GETRF(
const int& m,
const int& n, __float128* A,
const int& lda,
int* IPIV,
int* info)
const 1906 Teuchos::Details::Lapack128 lapack;
1907 lapack.GETRF (m, n, A, lda, IPIV, info);
1911 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 1913 Teuchos::Details::Lapack128 lapack;
1914 lapack.GETRS (TRANS, n, nrhs, A, lda, IPIV, B, ldb, info);
1918 GETRI (
const int& n, __float128* A,
const int& lda,
const int* IPIV, __float128* WORK,
const int& lwork,
int* info)
const 1920 Teuchos::Details::Lapack128 lapack;
1921 lapack.GETRI (n, A, lda, const_cast<int*> (IPIV), WORK, lwork, info);
1925 LASWP (
const int& N, __float128 A[],
const int& LDA,
const int& K1,
const int& K2,
const int IPIV[],
const int& INCX)
const 1927 Teuchos::Details::Lapack128 lapack;
1928 lapack.LASWP (N, A, LDA, K1, K2, IPIV, INCX);
1932 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 1934 Teuchos::Details::Lapack128 lapack;
1935 lapack.ORM2R (SIDE, TRANS, m, n, k, A, lda, TAU, C, ldc, WORK, info);
1939 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 1941 Teuchos::Details::Lapack128 lapack;
1942 lapack.ORGQR (m, n, k, A, lda, TAU, WORK, lwork, info);
1946 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 1948 Teuchos::Details::Lapack128 lapack;
1949 lapack.UNGQR (m, n, k, A, lda, TAU, WORK, lwork, info);
1953 LARFG(
const int& n, __float128* alpha, __float128* x,
const int& incx, __float128* tau )
const 1955 Teuchos::Details::Lapack128 lapack;
1956 lapack.LARFG (n, alpha, x, incx, tau);
1960 LAPY2 (
const __float128 x,
const __float128 y)
const 1962 Teuchos::Details::Lapack128 lapack;
1963 return lapack.LAPY2 (x, y);
1967 GBTRF (
const int& m,
const int& n,
const int& kl,
const int& ku,
1968 __float128* A,
const int& lda,
int* IPIV,
int* info)
const 1970 Teuchos::Details::Lapack128 lapack;
1971 return lapack.GBTRF (m, n, kl, ku, A, lda, IPIV, info);
1975 GBTRS (
const char& TRANS,
const int& n,
const int& kl,
const int& ku,
1976 const int& nrhs,
const __float128* A,
const int& lda,
const int* IPIV,
1977 __float128* B,
const int& ldb,
int* info)
const 1979 Teuchos::Details::Lapack128 lapack;
1980 return lapack.GBTRS (TRANS, n, kl, ku, nrhs, A, lda, IPIV, B, ldb, info);
1984 LASCL (
const char& TYPE,
const int& kl,
const int& ku,
const __float128 cfrom,
1985 const __float128 cto,
const int& m,
const int& n, __float128* A,
1986 const int& lda,
int* info)
const 1988 Teuchos::Details::Lapack128 lapack;
1989 return lapack.LASCL (TYPE, kl, ku, cfrom, cto, m, n, A, lda, info);
1994 #endif // HAVE_TEUCHOSCORE_QUADMATH 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...
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...
void ORMQR(const char &SIDE, const char &TRANS, const OrdinalType &m, const OrdinalType &n, const OrdinalType &k, ScalarType *A, const OrdinalType &lda, const ScalarType *TAU, ScalarType *C, const OrdinalType &ldc, ScalarType *WORK, const OrdinalType &lwork, OrdinalType *info) const
void TGEVC(const char &SIDE, const char &HOWMNY, const OrdinalType *SELECT, const OrdinalType &n, ScalarType *S, const OrdinalType &lds, 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
TEUCHOS_DEPRECATED void TREXC(const char &COMPQ, const OrdinalType &n, ScalarType *T, const OrdinalType &ldt, ScalarType *Q, const OrdinalType &ldq, const OrdinalType &ifst, const OrdinalType &ilst, ScalarType *WORK, OrdinalType *info) const
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...
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...
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
Declaration and definition of Teuchos::Details::Lapack128, a partial implementation of Teuchos::LAPAC...
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...
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...
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
TEUCHOS_DEPRECATED void POSVX(const char &FACT, const char &UPLO, const OrdinalType &n, const OrdinalType &nrhs, ScalarType *A, const OrdinalType &lda, ScalarType *AF, const OrdinalType &ldaf, const 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...
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...
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...
void STEQR(const char &COMPZ, const OrdinalType &n, ScalarType *D, ScalarType *E, ScalarType *Z, const OrdinalType &ldz, ScalarType *WORK, OrdinalType *info) const
Computes the eigenvalues and, optionally, eigenvectors of a symmetric tridiagonal n by n matrix A usi...
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...
Teuchos header file which uses auto-configuration information to include necessary C++ headers...
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.
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).
void GBCON(const char &NORM, const OrdinalType &n, const OrdinalType &kl, const OrdinalType &ku, const ScalarType *A, const OrdinalType &lda, 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, in either the 1-norm or the infinity-norm, using the LU factorization computed by GETRF.
void PTTRF(const OrdinalType &n, ScalarType *d, ScalarType *e, OrdinalType *info) const
Computes the L*D*L' factorization of a Hermitian/symmetric positive definite tridiagonal matrix A...
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
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...
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 ...
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...
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 ...
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...
The Templated LAPACK wrappers.
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.
This structure defines some basic traits for a scalar field type.
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
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
ScalarType LAMCH(const char &CMACH) const
Determines machine parameters for floating point characteristics.
Templated interface class to LAPACK routines.
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...
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...
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...
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...
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
ScalarType LARND(const OrdinalType &idist, OrdinalType *seed) const
Returns a random number from a uniform or normal distribution.
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...
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 ...
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.
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...
void UNMQR(const char &SIDE, const char &TRANS, const OrdinalType &m, const OrdinalType &n, const OrdinalType &k, 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).
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.
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...
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.
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...
ScalarType LAPY2(const ScalarType &x, const ScalarType &y) const
Computes x^2 + y^2 safely, to avoid overflow.
The Templated LAPACK Wrapper Class.
TEUCHOS_DEPRECATED void GEBAL(const char &JOBZ, const OrdinalType &n, ScalarType *A, const OrdinalType &lda, const OrdinalType &ilo, const OrdinalType &ihi, MagnitudeType *scale, OrdinalType *info) const
Balances a general matrix A, through similarity transformations to make the rows and columns as close...
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...
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.
TEUCHOS_DEPRECATED 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, const 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...
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...
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.
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.
The Teuchos namespace contains all of the classes, structs and enums used by Teuchos, as well as a number of utility routines.
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.
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
void LARNV(const OrdinalType &idist, OrdinalType *seed, const OrdinalType &n, ScalarType *v) const
Returns a vector of random numbers from a chosen distribution.
Defines basic traits for the scalar field type.
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, the left and/or right eigenvectors.
void LATRS(const char &UPLO, const char &TRANS, const char &DIAG, const char &NORMIN, const OrdinalType &N, ScalarType *A, const OrdinalType &LDA, ScalarType *X, MagnitudeType *SCALE, MagnitudeType *CNORM, OrdinalType *INFO) const
Robustly solve a possibly singular triangular linear system.
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.
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...
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).
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.
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...
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...
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.
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...
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.
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...
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...
void PTTRS(const OrdinalType &n, const OrdinalType &nrhs, const ScalarType *d, const ScalarType *e, ScalarType *B, const OrdinalType &ldb, OrdinalType *info) const
Solves a tridiagonal system A*X=B using the *D*L' factorization of A computed by PTTRF.
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...
void TRTRI(const char &UPLO, const char &DIAG, const OrdinalType &n, const ScalarType *A, const OrdinalType &lda, OrdinalType *info) const
Computes the inverse of an upper or lower triangular matrix A.
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 ...
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 ...
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
