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Lapack.hpp File Reference
#include <LibUtilities/LinearAlgebra/TransF77.hpp>

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Namespaces

 Lapack
 

Functions

void F77NAME() Lapack::dsptrf (const char &uplo, const int &n, double *ap, int *ipiv, int &info)
 
void F77NAME() Lapack::ssptrf (const char &uplo, const int &n, float *ap, int *ipiv, int &info)
 
void F77NAME() Lapack::dsptrs (const char &uplo, const int &n, const int &nrhs, const double *ap, const int *ipiv, double *b, const int &ldb, int &info)
 
void F77NAME() Lapack::ssptrs (const char &uplo, const int &n, const int &nrhs, const float *ap, const int *ipiv, float *b, const int &ldb, int &info)
 
void F77NAME() Lapack::dsptri (const char &uplo, const int &n, const double *ap, const int *ipiv, double *work, int &info)
 
void F77NAME() Lapack::ssptri (const char &uplo, const int &n, const float *ap, const int *ipiv, float *work, int &info)
 
void F77NAME() Lapack::dtrtrs (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)
 
void F77NAME() Lapack::strtrs (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)
 
void F77NAME() Lapack::dtptrs (const char &uplo, const char &trans, const char &diag, const int &n, const int &nrhs, const double *a, double *b, const int &ldb, int &info)
 
void F77NAME() Lapack::stptrs (const char &uplo, const char &trans, const char &diag, const int &n, const int &nrhs, const float *a, float *b, const int &ldb, int &info)
 
void F77NAME() Lapack::dpptrf (const char &uplo, const int &n, double *ap, int &info)
 
void F77NAME() Lapack::spptrf (const char &uplo, const int &n, float *ap, int &info)
 
void F77NAME() Lapack::dpptrs (const char &uplo, const int &n, const int &nrhs, const double *ap, double *b, const int &ldb, int &info)
 
void F77NAME() Lapack::spptrs (const char &uplo, const int &n, const int &nrhs, const float *ap, float *b, const int &ldb, int &info)
 
void F77NAME() Lapack::dpbtrf (const char &uplo, const int &n, const int &kd, double *ab, const int &ldab, int &info)
 
void F77NAME() Lapack::spbtrf (const char &uplo, const int &n, const int &kd, float *ab, const int &ldab, int &info)
 
void F77NAME() Lapack::spbtrs (const char &uplo, const int &n, const int &kd, const int &nrhs, const float *ab, const int &ldab, float *b, const int &ldb, int &info)
 
void F77NAME() Lapack::dpbtrs (const char &uplo, const int &n, const int &kd, const int &nrhs, const double *ab, const int &ldab, double *b, const int &ldb, int &info)
 
void F77NAME() Lapack::dgbtrf (const int &m, const int &n, const int &kl, const int &ku, double *a, const int &lda, int *ipiv, int &info)
 
void F77NAME() Lapack::sgbtrf (const int &m, const int &n, const int &kl, const int &ku, float *a, const int &lda, int *ipiv, int &info)
 
void F77NAME() Lapack::dgbtrs (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)
 
void F77NAME() Lapack::sgbtrs (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)
 
void F77NAME() Lapack::dgetrf (const int &m, const int &n, double *a, const int &lda, int *ipiv, int &info)
 
void F77NAME() Lapack::sgetrf (const int &m, const int &n, float *a, const int &lda, int *ipiv, int &info)
 
void F77NAME() Lapack::dgetrs (const char &trans, const int &n, const int &nrhs, const double *a, const int &lda, int *ipiv, double *b, const int &ldb, int &info)
 
void F77NAME() Lapack::sgetrs (const char &trans, const int &n, const int &nrhs, const float *a, const int &lda, int *ipiv, float *b, const int &ldb, int &info)
 
void F77NAME() Lapack::dgetri (const int &n, double *a, const int &lda, const int *ipiv, double *wk, const int &lwk, int &info)
 
void F77NAME() Lapack::sgetri (const int &n, float *a, const int &lda, const int *ipiv, float *wk, const int &lwk, int &info)
 
void F77NAME() Lapack::dsterf (const int &n, double *d, double *e, int &info)
 
void F77NAME() Lapack::ssterf (const int &n, float *d, float *e, int &info)
 
void F77NAME() Lapack::dgeev (const char &uplo, const char &lrev, const int &n, const double *a, const int &lda, double *wr, double *wi, double *rev, const int &ldr, double *lev, const int &ldv, double *work, const int &lwork, int &info)
 
void F77NAME() Lapack::sgeev (const char &uplo, const char &lrev, const int &n, const float *a, const int &lda, float *wr, float *wi, float *rev, const int &ldr, float *lev, const int &ldv, float *work, const int &lwork, int &info)
 
void F77NAME() Lapack::dspev (const char &jobz, const char &uplo, const int &n, double *ap, double *w, double *z, const int &ldz, double *work, int &info)
 
void F77NAME() Lapack::sspev (const char &jobz, const char &uplo, const int &n, float *ap, float *w, float *z, const int &ldz, float *work, int &info)
 
void F77NAME() Lapack::dsbev (const char &jobz, const char &uplo, const int &kl, const int &ku, double *ap, const int &lda, double *w, double *z, const int &ldz, double *work, int &info)
 
void F77NAME() Lapack::ssbev (const char &jobz, const char &uplo, const int &kl, const int &ku, float *ap, const int &lda, float *w, float *z, const int &ldz, float *work, int &info)
 
void Lapack::sgetrs (char trans, int matrixRows, int matrixColumns, const float *A, float *x)
 
void Lapack::dgetrs (char trans, int matrixRows, int matrixColumns, const double *A, double *x)
 
static void Lapack::DoSsptrf (const char &uplo, const int &n, double *ap, int *ipiv, int &info)
 factor a real packed-symmetric matrix using Bunch-Kaufman pivoting. More...
 
static void Lapack::DoSsptrf (const char &uplo, const int &n, float *ap, int *ipiv, int &info)
 factor a real packed-symmetric matrix using Bunch-Kaufman pivoting. More...
 
static void Lapack::Dsptrf (const char &uplo, const int &n, double *ap, int *ipiv, int &info)
 factor a real packed-symmetric matrix using Bunch-Kaufman pivoting. More...
 
static void Lapack::DoSsptrs (const char &uplo, const int &n, const int &nrhs, const double *ap, const int *ipiv, double *b, const int &ldb, int &info)
 Solve a real symmetric matrix problem using Bunch-Kaufman pivoting. More...
 
static void Lapack::DoSsptrs (const char &uplo, const int &n, const int &nrhs, const float *ap, const int *ipiv, float *b, const int &ldb, int &info)
 Solve a real symmetric matrix problem using Bunch-Kaufman pivoting. More...
 
static void Lapack::Dsptrs (const char &uplo, const int &n, const int &nrhs, const double *ap, const int *ipiv, double *b, const int &ldb, int &info)
 Solve a real symmetric matrix problem using Bunch-Kaufman pivoting. More...
 
static void Lapack::DoSsptri (const char &uplo, const int &n, const double *ap, const int *ipiv, double *work, int &info)
 Invert a real symmetric matrix problem. More...
 
static void Lapack::DoSsptri (const char &uplo, const int &n, const float *ap, const int *ipiv, float *work, int &info)
 Invert a real symmetric matrix problem. More...
 
static void Lapack::Dsptri (const char &uplo, const int &n, const double *ap, const int *ipiv, double *work, int &info)
 Invert a real symmetric matrix problem. More...
 
static void Lapack::Dpptrf (const char &uplo, const int &n, double *ap, int &info)
 Cholesky factor a real Positive Definite packed-symmetric matrix. More...
 
static void Lapack::Dpptrs (const char &uplo, const int &n, const int &nrhs, const double *ap, double *b, const int &ldb, int &info)
 Solve a real Positive defiinte symmetric matrix problem using Cholesky factorization. More...
 
static void Lapack::Dpbtrf (const char &uplo, const int &n, const int &kd, double *ab, const int &ldab, int &info)
 Cholesky factorize a real positive-definite banded-symmetric matrix. More...
 
static void Lapack::Dpbtrs (const char &uplo, const int &n, const int &kd, const int &nrhs, const double *ab, const int &ldab, double *b, const int &ldb, int &info)
 Solve a real, Positive definite banded symmetric matrix problem using Cholesky factorization. More...
 
static void Lapack::Dgbtrf (const int &m, const int &n, const int &kl, const int &ku, double *a, const int &lda, int *ipiv, int &info)
 General banded matrix LU factorisation. More...
 
static void Lapack::Dgbtrs (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)
 Solve general banded matrix using LU factorisation. More...
 
static void Lapack::DoSgetrf (const int &m, const int &n, double *a, const int &lda, int *ipiv, int &info)
 General matrix LU factorisation. More...
 
static void Lapack::DoSgetrf (const int &m, const int &n, float *a, const int &lda, int *ipiv, int &info)
 General matrix LU factorisation. More...
 
static void Lapack::Dgetrf (const int &m, const int &n, double *a, const int &lda, int *ipiv, int &info)
 General matrix LU factorisation. More...
 
static void Lapack::Dgetrs (const char &trans, const int &n, const int &nrhs, const double *a, const int &lda, int *ipiv, double *b, const int &ldb, int &info)
 General matrix LU backsolve. More...
 
static void Lapack::DoSgetri (const int &n, double *a, const int &lda, const int *ipiv, double *wk, const int &lwk, int &info)
 Generate matrix inverse. More...
 
static void Lapack::DoSgetri (const int &n, float *a, const int &lda, const int *ipiv, float *wk, const int &lwk, int &info)
 Generate matrix inverse. More...
 
static void Lapack::Dgetri (const int &n, double *a, const int &lda, const int *ipiv, double *wk, const int &lwk, int &info)
 Generate matrix inverse. More...
 
static void Lapack::Dsterf (const int &n, double *d, double *e, int &info)
 Find eigenvalues of symmetric tridiagonal matrix. More...
 
static void Lapack::DoSgeev (const char &uplo, const char &lrev, const int &n, const double *a, const int &lda, double *wr, double *wi, double *rev, const int &ldr, double *lev, const int &ldv, double *work, const int &lwork, int &info)
 Solve general real matrix eigenproblem. More...
 
static void Lapack::DoSgeev (const char &uplo, const char &lrev, const int &n, const float *a, const int &lda, float *wr, float *wi, float *rev, const int &ldr, float *lev, const int &ldv, float *work, const int &lwork, int &info)
 Solve general real matrix eigenproblem. More...
 
static void Lapack::Dgeev (const char &uplo, const char &lrev, const int &n, const double *a, const int &lda, double *wr, double *wi, double *rev, const int &ldr, double *lev, const int &ldv, double *work, const int &lwork, int &info)
 Solve general real matrix eigenproblem. More...
 
static void Lapack::Dspev (const char &jobz, const char &uplo, const int &n, double *ap, double *w, double *z, const int &ldz, double *work, int &info)
 Solve packed-symmetric real matrix eigenproblem. More...
 
static void Lapack::Dsbev (const char &jobz, const char &uplo, const int &kl, const int &ku, double *ap, const int &lda, double *w, double *z, const int &ldz, double *work, int &info)
 Solve packed-banded real matrix eigenproblem. More...
 
static void Lapack::Dtrtrs (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)
 
static void Lapack::Dtptrs (const char &uplo, const char &trans, const char &diag, const int &n, const int &nrhs, const double *a, double *b, const int &ldb, int &info)