Epetra_LAPACK: The Epetra LAPACK Wrapper Class. More...
#include <Epetra_LAPACK.h>
Public Member Functions | |
Constructors/destructors | |
Epetra_LAPACK (void) | |
Epetra_LAPACK Constructor. More... | |
Epetra_LAPACK (const Epetra_LAPACK &LAPACK) | |
Epetra_LAPACK Copy Constructor. More... | |
virtual | ~Epetra_LAPACK (void) |
Epetra_LAPACK Destructor. | |
Symmetric Positive Definite linear system routines | |
void | POTRF (const char UPLO, const int N, float *A, const int LDA, int *INFO) const |
Epetra_LAPACK factorization for positive definite matrix (SPOTRF) | |
void | POTRF (const char UPLO, const int N, double *A, const int LDA, int *INFO) const |
Epetra_LAPACK factorization for positive definite matrix (DPOTRF) | |
void | POTRS (const char UPLO, const int N, const int NRHS, const float *A, const int LDA, float *X, const int LDX, int *INFO) const |
Epetra_LAPACK solve (after factorization) for positive definite matrix (SPOTRS) | |
void | POTRS (const char UPLO, const int N, const int NRHS, const double *A, const int LDA, double *X, const int LDX, int *INFO) const |
Epetra_LAPACK solve (after factorization) for positive definite matrix (DPOTRS) | |
void | POTRI (const char UPLO, const int N, float *A, const int LDA, int *INFO) const |
Epetra_LAPACK inversion for positive definite matrix (SPOTRI) | |
void | POTRI (const char UPLO, const int N, double *A, const int LDA, int *INFO) const |
Epetra_LAPACK inversion for positive definite matrix (DPOTRI) | |
void | POCON (const char UPLO, const int N, const float *A, const int LDA, const float ANORM, float *RCOND, float *WORK, int *IWORK, int *INFO) const |
Epetra_LAPACK condition number estimator for positive definite matrix (SPOCON) | |
void | POCON (const char UPLO, const int N, const double *A, const int LDA, const double ANORM, double *RCOND, double *WORK, int *IWORK, int *INFO) const |
Epetra_LAPACK condition number estimator for positive definite matrix (DPOCON) | |
void | POSV (const char UPLO, const int N, const int NRHS, float *A, const int LDA, float *X, const int LDX, int *INFO) const |
Epetra_LAPACK factor and solve for positive definite matrix (SPOSV) | |
void | POSV (const char UPLO, const int N, const int NRHS, double *A, const int LDA, double *X, const int LDX, int *INFO) const |
Epetra_LAPACK factor and solve for positive definite matrix (DPOSV) | |
void | POEQU (const int N, const float *A, const int LDA, float *S, float *SCOND, float *AMAX, int *INFO) const |
Epetra_LAPACK equilibration for positive definite matrix (SPOEQU) | |
void | POEQU (const int N, const double *A, const int LDA, double *S, double *SCOND, double *AMAX, int *INFO) const |
Epetra_LAPACK equilibration for positive definite matrix (DPOEQU) | |
void | PORFS (const char UPLO, const int N, const int NRHS, const float *A, const int LDA, const float *AF, const int LDAF, const float *B, const int LDB, float *X, const int LDX, float *FERR, float *BERR, float *WORK, int *IWORK, int *INFO) const |
Epetra_LAPACK solve driver for positive definite matrix (SPOSVX) | |
void | PORFS (const char UPLO, const int N, const int NRHS, const double *A, const int LDA, const double *AF, const int LDAF, const double *B, const int LDB, double *X, const int LDX, double *FERR, double *BERR, double *WORK, int *IWORK, int *INFO) const |
Epetra_LAPACK solve driver for positive definite matrix (DPOSVX) | |
void | 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 |
Epetra_LAPACK solve driver for positive definite matrix (SPOSVX) | |
void | 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 |
Epetra_LAPACK solve driver for positive definite matrix (DPOSVX) | |
General linear system routines | |
void | GELS (const char TRANS, const int M, const int N, const int NRHS, double *A, const int LDA, double *B, const int LDB, double *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK simple driver to solve least-squares systems. | |
void | GETRF (const int M, const int N, float *A, const int LDA, int *IPIV, int *INFO) const |
Epetra_LAPACK factorization for general matrix (SGETRF) | |
void | GETRF (const int M, const int N, double *A, const int LDA, int *IPIV, int *INFO) const |
Epetra_LAPACK factorization for general matrix (DGETRF) | |
void | GEQRF (const int M, const int N, float *A, const int LDA, float *TAU, float *WORK, const int lwork, int *INFO) const |
Epetra_LAPACK QR factorization for general matrix (SGEQRF) | |
void | GEQRF (const int M, const int N, double *A, const int LDA, double *TAU, double *WORK, const int lwork, int *INFO) const |
Epetra_LAPACK factorization for general matrix (DGEQRF) | |
void | GETRS (const char TRANS, const int N, const int NRHS, const float *A, const int LDA, const int *IPIV, float *X, const int LDX, int *INFO) const |
Epetra_LAPACK solve (after factorization) for general matrix (SGETRS) | |
void | GETRS (const char TRANS, const int N, const int NRHS, const double *A, const int LDA, const int *IPIV, double *X, const int LDX, int *INFO) const |
Epetra_LAPACK solve (after factorization) for general matrix (DGETRS) | |
void | GETRI (const int N, float *A, const int LDA, int *IPIV, float *WORK, const int *LWORK, int *INFO) const |
Epetra_LAPACK inversion for general matrix (SGETRI) | |
void | GETRI (const int N, double *A, const int LDA, int *IPIV, double *WORK, const int *LWORK, int *INFO) const |
Epetra_LAPACK inversion for general matrix (DGETRI) | |
void | GECON (const char NORM, const int N, const float *A, const int LDA, const float ANORM, float *RCOND, float *WORK, int *IWORK, int *INFO) const |
Epetra_LAPACK condition number estimator for general matrix (SGECON) | |
void | GECON (const char NORM, const int N, const double *A, const int LDA, const double ANORM, double *RCOND, double *WORK, int *IWORK, int *INFO) const |
Epetra_LAPACK condition number estimator for general matrix (DGECON) | |
void | GESV (const int N, const int NRHS, float *A, const int LDA, int *IPIV, float *X, const int LDX, int *INFO) const |
Epetra_LAPACK factor and solve for general matrix (SGESV) | |
void | GESV (const int N, const int NRHS, double *A, const int LDA, int *IPIV, double *X, const int LDX, int *INFO) const |
Epetra_LAPACK factor and solve for general matrix (DGESV) | |
void | GEEQU (const int M, const int N, const float *A, const int LDA, float *R, float *C, float *ROWCND, float *COLCND, float *AMAX, int *INFO) const |
Epetra_LAPACK equilibration for general matrix (SGEEQU) | |
void | GEEQU (const int M, const int N, const double *A, const int LDA, double *R, double *C, double *ROWCND, double *COLCND, double *AMAX, int *INFO) const |
Epetra_LAPACK equilibration for general matrix (DGEEQU) | |
void | GERFS (const char TRANS, const int N, const int NRHS, const float *A, const int LDA, const float *AF, const int LDAF, const int *IPIV, const float *B, const int LDB, float *X, const int LDX, float *FERR, float *BERR, float *WORK, int *IWORK, int *INFO) const |
Epetra_LAPACK Refine solution (GERFS) | |
void | GERFS (const char TRANS, const int N, const int NRHS, const double *A, const int LDA, const double *AF, const int LDAF, const int *IPIV, const double *B, const int LDB, double *X, const int LDX, double *FERR, double *BERR, double *WORK, int *IWORK, int *INFO) const |
Epetra_LAPACK Refine solution (GERFS) | |
void | GESVX (const char FACT, const char TRANS, const int N, const int NRHS, float *A, const int LDA, float *AF, const int LDAF, int *IPIV, 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 |
Epetra_LAPACK solve driver for general matrix (SGESVX) | |
void | GESVX (const char FACT, const char TRANS, const int N, const int NRHS, double *A, const int LDA, double *AF, const int LDAF, int *IPIV, 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 |
Epetra_LAPACK solve driver for general matrix (DGESVX) | |
void | GEHRD (const int N, const int ILO, const int IHI, float *A, const int LDA, float *TAU, float *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper for reduction to Hessenberg form (SGEHRD) | |
void | GEHRD (const int N, const int ILO, const int IHI, double *A, const int LDA, double *TAU, double *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper for reduction to Hessenberg form (DGEHRD) | |
Hessenberg routines | |
void | HSEQR (const char JOB, const char COMPZ, const int N, const int ILO, const int IHI, float *H, const int LDH, float *WR, float *WI, float *Z, const int LDZ, float *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper for computing the eigenvalues of a real upper Hessenberg matrix (SHSEQR) | |
void | HSEQR (const char JOB, const char COMPZ, const int N, const int ILO, const int IHI, double *H, const int LDH, double *WR, double *WI, double *Z, const int LDZ, double *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper for computing the eigenvalues of a real upper Hessenberg matrix (DHSEQR) | |
Orthogonal matrix routines | |
void | ORGQR (const int M, const int N, const int K, float *A, const int LDA, float *TAU, float *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper for generating a m x n real matrix Q with orthonormal columns, defined as the product of k elementary reflectors. (SORGQR) | |
void | ORGQR (const int M, const int N, const int K, double *A, const int LDA, double *TAU, double *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper for generating a m x n real matrix Q with orthonormal columns, defined as the product of k elementary reflectors. (DORGQR) | |
void | ORGHR (const int N, const int ILO, const int IHI, float *A, const int LDA, float *TAU, float *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper for generating a real orthogonal matrix Q defined by elementary reflectors. (SORGHR) | |
void | ORGHR (const int N, const int ILO, const int IHI, double *A, const int LDA, double *TAU, double *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper for generating a real orthogonal matrix Q defined by elementary reflectors. (DORGHR) | |
void | ORMHR (const char SIDE, const char TRANS, const int M, const int N, const int ILO, const int IHI, const float *A, const int LDA, const float *TAU, float *C, const int LDC, float *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper for applying an orthogonal matrix in-place (SORMHR) | |
void | ORMHR (const char SIDE, const char TRANS, const int M, const int N, const int ILO, const int IHI, const double *A, const int LDA, const double *TAU, double *C, const int LDC, double *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper for applying an orthogonal matrix in-place (DORMHR) | |
void | LARFT (const char DIRECT, const char STOREV, const int N, const int K, double *V, const int LDV, double *TAU, double *T, const int LDT) const |
Epetra_LAPACK for forming the triangular factor of a product of elementary Householder reflectors (SLARFT). | |
void | LARFT (const char DIRECT, const char STOREV, const int N, const int K, float *V, const int LDV, float *TAU, float *T, const int LDT) const |
Epetra_LAPACK for forming the triangular factor of a product of elementary Householder reflectors (DLARFT). | |
Triangular matrix routines | |
void | TREVC (const char SIDE, const char HOWMNY, int *SELECT, const int N, const float *T, const int LDT, float *VL, const int LDVL, float *VR, const int LDVR, const int MM, int *M, float *WORK, int *INFO) const |
Epetra_LAPACK wrapper for computing eigenvectors of a quasi-triangular/triagnular matrix (STREVC) More... | |
void | TREVC (const char SIDE, const char HOWMNY, int *SELECT, const int N, const double *T, const int LDT, double *VL, const int LDVL, double *VR, const int LDVR, const int MM, int *M, double *WORK, int *INFO) const |
Epetra_LAPACK wrapper for computing eigenvectors of a quasi-triangular/triagnular matrix (DTREVC) More... | |
void | TREXC (const char COMPQ, const int N, float *T, const int LDT, float *Q, const int LDQ, int IFST, int ILST, float *WORK, int *INFO) const |
Epetra_LAPACK wrapper for reordering the real-Schur/Schur factorization of a matrix (STREXC) | |
void | TREXC (const char COMPQ, const int N, double *T, const int LDT, double *Q, const int LDQ, int IFST, int ILST, double *WORK, int *INFO) const |
Epetra_LAPACK wrapper for reordering the real-Schur/Schur factorization of a matrix (DTREXC) | |
Singular Value Decomposition matrix routines | |
void | GESVD (const char JOBU, const char JOBVT, const int M, const int N, float *A, const int LDA, float *S, float *U, const int LDU, float *VT, const int LDVT, float *WORK, const int *LWORK, int *INFO) const |
Epetra_LAPACK wrapper for computing the singular value decomposition (SGESVD) | |
void | GESVD (const char JOBU, const char JOBVT, const int M, const int N, double *A, const int LDA, double *S, double *U, const int LDU, double *VT, const int LDVT, double *WORK, const int *LWORK, int *INFO) const |
Epetra_LAPACK wrapper for computing the singular value decomposition (DGESVD) | |
void | GGSVD (const char JOBU, const char JOBV, const char JOBQ, const int M, const int N, const int P, int *K, int *L, double *A, const int LDA, double *B, const int LDB, double *ALPHA, double *BETA, double *U, const int LDU, double *V, const int LDV, double *Q, const int LDQ, double *WORK, int *IWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute the generalized singular value decomposition (GSVD) of an M-by-N real matrix A and P-by-N real matrix B. | |
void | GGSVD (const char JOBU, const char JOBV, const char JOBQ, const int M, const int N, const int P, int *K, int *L, float *A, const int LDA, float *B, const int LDB, float *ALPHA, float *BETA, float *U, const int LDU, float *V, const int LDV, float *Q, const int LDQ, float *WORK, int *IWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute the generalized singular value decomposition (GSVD) of an M-by-N real matrix A and P-by-N real matrix B. | |
Eigenvalue/Eigenvector routines | |
void | GEEV (const char JOBVL, const char JOBVR, const int N, double *A, const int LDA, double *WR, double *WI, double *VL, const int LDVL, double *VR, const int LDVR, double *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute for an N-by-N real nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors. | |
void | GEEV (const char JOBVL, const char JOBVR, const int N, float *A, const int LDA, float *WR, float *WI, float *VL, const int LDVL, float *VR, const int LDVR, float *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute for an N-by-N real nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors. | |
void | SPEV (const char JOBZ, const char UPLO, const int N, double *AP, double *W, double *Z, int LDZ, double *WORK, int *INFO) const |
Epetra_LAPACK wrapper to compute all the eigenvalues and, optionally, eigenvectors of a real symmetric matrix A in packed storage. | |
void | SPEV (const char JOBZ, const char UPLO, const int N, float *AP, float *W, float *Z, int LDZ, float *WORK, int *INFO) const |
Epetra_LAPACK wrapper to compute all the eigenvalues and, optionally, eigenvectors of a real symmetric matrix A in packed storage. | |
void | SPGV (const int ITYPE, const char JOBZ, const char UPLO, const int N, double *AP, double *BP, double *W, double *Z, const int LDZ, double *WORK, int *INFO) const |
Epetra_LAPACK wrapper to compute all the eigenvalues and, optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x. | |
void | SPGV (const int ITYPE, const char JOBZ, const char UPLO, const int N, float *AP, float *BP, float *W, float *Z, const int LDZ, float *WORK, int *INFO) const |
Epetra_LAPACK wrapper to compute all the eigenvalues and, optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x. | |
void | SYEV (const char JOBZ, const char UPLO, const int N, double *A, const int LDA, double *W, double *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute all eigenvalues and, optionally, eigenvectors of a real symmetric matrix A. | |
void | SYEV (const char JOBZ, const char UPLO, const int N, float *A, const int LDA, float *W, float *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute all eigenvalues and, optionally, eigenvectors of a real symmetric matrix A. | |
void | SYEVD (const char JOBZ, const char UPLO, const int N, double *A, const int LDA, double *W, double *WORK, const int LWORK, int *IWORK, const int LIWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute all eigenvalues and, optionally, eigenvectors of a real symmetric matrix A. | |
void | SYEVD (const char JOBZ, const char UPLO, const int N, float *A, const int LDA, float *W, float *WORK, const int LWORK, int *IWORK, const int LIWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute all eigenvalues and, optionally, eigenvectors of a real symmetric matrix A. | |
void | SYEVX (const char JOBZ, const char RANGE, const char UPLO, const int N, double *A, const int LDA, const double *VL, const double *VU, const int *IL, const int *IU, const double ABSTOL, int *M, double *W, double *Z, const int LDZ, double *WORK, const int LWORK, int *IWORK, int *IFAIL, int *INFO) const |
Epetra_LAPACK wrapper to compute selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix A. | |
void | SYEVX (const char JOBZ, const char RANGE, const char UPLO, const int N, float *A, const int LDA, const float *VL, const float *VU, const int *IL, const int *IU, const float ABSTOL, int *M, float *W, float *Z, const int LDZ, float *WORK, const int LWORK, int *IWORK, int *IFAIL, int *INFO) const |
Epetra_LAPACK wrapper to compute selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix A. | |
void | SYGV (const int ITYPE, const char JOBZ, const char UPLO, const int N, double *A, const int LDA, double *B, const int LDB, double *W, double *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x. | |
void | SYGV (const int ITYPE, const char JOBZ, const char UPLO, const int N, float *A, const int LDA, float *B, const int LDB, float *W, float *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute all the eigenvalues, and optionally, the eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x. | |
void | SYGVX (const int ITYPE, const char JOBZ, const char RANGE, const char UPLO, const int N, double *A, const int LDA, double *B, const int LDB, const double *VL, const double *VU, const int *IL, const int *IU, const double ABSTOL, int *M, double *W, double *Z, const int LDZ, double *WORK, const int LWORK, int *IWORK, int *IFAIL, int *INFO) const |
Epetra_LAPACK wrapper to compute selected eigenvalues, and optionally, eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x. | |
void | SYGVX (const int ITYPE, const char JOBZ, const char RANGE, const char UPLO, const int N, float *A, const int LDA, float *B, const int LDB, const float *VL, const float *VU, const int *IL, const int *IU, const float ABSTOL, int *M, float *W, float *Z, const int LDZ, float *WORK, const int LWORK, int *IWORK, int *IFAIL, int *INFO) const |
Epetra_LAPACK wrapper to compute selected eigenvalues, and optionally, eigenvectors of a real generalized symmetric-definite eigenproblem, of the form A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x. | |
void | SYEVR (const char JOBZ, const char RANGE, const char UPLO, const int N, double *A, const int LDA, const double *VL, const double *VU, const int *IL, const int *IU, const double ABSTOL, int *M, double *W, double *Z, const int LDZ, int *ISUPPZ, double *WORK, const int LWORK, int *IWORK, const int LIWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix T. | |
void | SYEVR (const char JOBZ, const char RANGE, const char UPLO, const int N, float *A, const int LDA, const float *VL, const float *VU, const int *IL, const int *IU, const float ABSTOL, int *M, float *W, float *Z, const int LDZ, int *ISUPPZ, float *WORK, const int LWORK, int *IWORK, const int LIWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute selected eigenvalues and, optionally, eigenvectors of a real symmetric matrix T. | |
void | GEEVX (const char BALANC, const char JOBVL, const char JOBVR, const char SENSE, const int N, double *A, const int LDA, double *WR, double *WI, double *VL, const int LDVL, double *VR, const int LDVR, int *ILO, int *IHI, double *SCALE, double *ABNRM, double *RCONDE, double *RCONDV, double *WORK, const int LWORK, int *IWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute for an N-by-N real nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors. | |
void | GEEVX (const char BALANC, const char JOBVL, const char JOBVR, const char SENSE, const int N, float *A, const int LDA, float *WR, float *WI, float *VL, const int LDVL, float *VR, const int LDVR, int *ILO, int *IHI, float *SCALE, float *ABNRM, float *RCONDE, float *RCONDV, float *WORK, const int LWORK, int *IWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute for an N-by-N real nonsymmetric matrix A, the eigenvalues and, optionally, the left and/or right eigenvectors. | |
void | GESDD (const char JOBZ, const int M, const int N, double *A, const int LDA, double *S, double *U, const int LDU, double *VT, const int LDVT, double *WORK, const int LWORK, int *IWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute the singular value decomposition (SVD) of a real M-by-N matrix A, optionally computing the left and right singular vectors. | |
void | GESDD (const char JOBZ, const int M, const int N, float *A, const int LDA, float *S, float *U, const int LDU, float *VT, const int LDVT, float *WORK, const int LWORK, int *IWORK, int *INFO) const |
Epetra_LAPACK wrapper to. | |
void | GGEV (const char JOBVL, const char JOBVR, const int N, double *A, const int LDA, double *B, const int LDB, double *ALPHAR, double *ALPHAI, double *BETA, double *VL, const int LDVL, double *VR, const int LDVR, double *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute for a pair of N-by-N real nonsymmetric matrices (A,B) the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors. | |
void | GGEV (const char JOBVL, const char JOBVR, const int N, float *A, const int LDA, float *B, const int LDB, float *ALPHAR, float *ALPHAI, float *BETA, float *VL, const int LDVL, float *VR, const int LDVR, float *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper to compute for a pair of N-by-N real nonsymmetric matrices (A,B) the generalized eigenvalues, and optionally, the left and/or right generalized eigenvectors. | |
Linear Least Squares | |
void | GGLSE (const int M, const int N, const int P, double *A, const int LDA, double *B, const int LDB, double *C, double *D, double *X, double *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper to solve the linear equality-constrained least squares (LSE) problem. | |
void | GGLSE (const int M, const int N, const int P, float *A, const int LDA, float *B, const int LDB, float *C, float *D, float *X, float *WORK, const int LWORK, int *INFO) const |
Epetra_LAPACK wrapper to solve the linear equality-constrained least squares (LSE) problem. | |
Machine characteristics routines | |
void | LAMCH (const char CMACH, float &T) const |
Epetra_LAPACK wrapper for DLAMCH routine. On out, T holds machine double precision floating point characteristics. This information is returned by the Lapack routine. | |
void | LAMCH (const char CMACH, double &T) const |
Epetra_LAPACK wrapper for SLAMCH routine. On out, T holds machine single precision floating point characteristics. This information is returned by the Lapack routine. | |
Triangular solve | |
void | TRTRS (const char UPLO, const char TRANS, const char DIAG, const int N, const int NRHS, const float *A, const int LDA, float *B, const int LDB, int *INFO) const |
Epetra_LAPACK wrapper for TRTRS routine. | |
void | TRTRS (const char UPLO, const char TRANS, const char DIAG, const int N, const int NRHS, const double *A, const int LDA, double *B, const int LDB, int *INFO) const |
Epetra_LAPACK wrapper for TRTRS routine. | |
Epetra_LAPACK: The Epetra LAPACK Wrapper Class.
The Epetra_LAPACK class is a wrapper that encapsulates LAPACK (Linear Algebra Package). LAPACK provides portable, high- performance implementations of linear, eigen, SVD, etc solvers.
The standard LAPACK interface is Fortran-specific. Unfortunately, the interface between C++ and Fortran is not standard across all computer platforms. The Epetra_LAPACK class provides C++ wrappers for the LAPACK kernels in order to insulate the rest of Epetra from the details of C++ to Fortran translation. A Epetra_LAPACK object is essentially nothing, but allows access to the LAPACK wrapper functions.
Epetra_LAPACK is a serial interface only. This is appropriate since the standard LAPACK are only specified for serial execution (or shared memory parallel).
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inline |
Epetra_LAPACK Constructor.
Builds an instance of a serial LAPACK object.
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inline |
Epetra_LAPACK Copy Constructor.
Makes an exact copy of an existing Epetra_LAPACK instance.
void Epetra_LAPACK::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 |
Epetra_LAPACK wrapper for computing eigenvectors of a quasi-triangular/triagnular matrix (STREVC)
void Epetra_LAPACK::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 |
Epetra_LAPACK wrapper for computing eigenvectors of a quasi-triangular/triagnular matrix (DTREVC)