Epetra_LAPACK Class Reference

Epetra_LAPACK: The Epetra LAPACK Wrapper Class. More...

#include <Epetra_LAPACK.h>

Inheritance diagram for Epetra_LAPACK:

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List of all members.

Public Member Functions

Constructors/destructors
 Epetra_LAPACK (void)
 Epetra_LAPACK Constructor.
 Epetra_LAPACK (const Epetra_LAPACK &LAPACK)
 Epetra_LAPACK Copy Constructor.
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).
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).
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.

Detailed Description

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).


Constructor & Destructor Documentation

Epetra_LAPACK::Epetra_LAPACK ( void   )  [inline]

Epetra_LAPACK Constructor.

Builds an instance of a serial LAPACK object.

Epetra_LAPACK::Epetra_LAPACK ( const Epetra_LAPACK LAPACK  )  [inline]

Epetra_LAPACK Copy Constructor.

Makes an exact copy of an existing Epetra_LAPACK instance.


Member Function Documentation

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).

Warning:
HOWMNY = 'S" is not supported.

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).

Warning:
HOWMNY = 'S" is not supported.


The documentation for this class was generated from the following file:
Generated on Wed May 12 21:25:13 2010 for Epetra by  doxygen 1.4.7