Section 3: library functions
chetri2x.f – Synopsis Functions/Subroutines subroutine chetri2x (UPLO, N, A, LDA, IPIV, WORK, NB, INFO) CHETRI2X Function/Subroutine Documentation subroutine chetri2x (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( n+nb+1,* )WORK, integerNB, integerINFO) CHETRI2X Purpose: CHETRI2X computes the inverse of a complex Hermitian indefinite matrix A using the factorization A =…
chetri2.f – Synopsis Functions/Subroutines subroutine chetri2 (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CHETRI2 Function/Subroutine Documentation subroutine chetri2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerLWORK, integerINFO) CHETRI2 Purpose: CHETRI2 computes the inverse of a COMPLEX hermitian indefinite matrix A using the factorization A =…
chetri.f – Synopsis Functions/Subroutines subroutine chetri (UPLO, N, A, LDA, IPIV, WORK, INFO) CHETRI Function/Subroutine Documentation subroutine chetri (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerINFO) CHETRI Purpose: CHETRI computes the inverse of a complex Hermitian indefinite matrix A using the factorization A = U*D*U**H or…
NAME chetrf_rook.f – SYNOPSIS Functions/Subroutines subroutine chetrf_rook (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CHETRF_ROOK computes the factorization of a complex Hermitian indefinite matrix using the bounded Bunch-Kaufman (‘rook’) diagonal pivoting method (blocked algorithm, calling Level 3 BLAS). Function/Subroutine Documentation subroutine chetrf_rook (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV,…
chetrf.f – Synopsis Functions/Subroutines subroutine chetrf (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) CHETRF Function/Subroutine Documentation subroutine chetrf (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerLWORK, integerINFO) CHETRF Purpose: CHETRF computes the factorization of a complex Hermitian matrix A using the Bunch-Kaufman diagonal pivoting method….
chetrd.f – Synopsis Functions/Subroutines subroutine chetrd (UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO) CHETRD Function/Subroutine Documentation subroutine chetrd (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO) CHETRD Purpose: CHETRD reduces a complex Hermitian matrix…
NAME chetf2_rook.f – SYNOPSIS Functions/Subroutines subroutine chetf2_rook (UPLO, N, A, LDA, IPIV, INFO) CHETF2_ROOK computes the factorization of a complex Hermitian indefinite matrix using the bounded Bunch-Kaufman (‘rook’) diagonal pivoting method (unblocked algorithm). Function/Subroutine Documentation subroutine chetf2_rook (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO) CHETF2_ROOK computes the factorization of…
chetf2.f – Synopsis Functions/Subroutines subroutine chetf2 (UPLO, N, A, LDA, IPIV, INFO) CHETF2 computes the factorization of a complex Hermitian matrix, using the diagonal pivoting method (unblocked algorithm). Function/Subroutine Documentation subroutine chetf2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO) CHETF2 computes the factorization of a complex Hermitian matrix, using…
chetd2.f – Synopsis Functions/Subroutines subroutine chetd2 (UPLO, N, A, LDA, D, E, TAU, INFO) CHETD2 reduces a Hermitian matrix to real symmetric tridiagonal form by an unitary similarity transformation (unblocked algorithm). Function/Subroutine Documentation subroutine chetd2 (characterUPLO, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, complex, dimension( * )TAU,…
cheswapr.f – Synopsis Functions/Subroutines subroutine cheswapr (UPLO, N, A, LDA, I1, I2) CHESWAPR applies an elementary permutation on the rows and columns of a Hermitian matrix. Function/Subroutine Documentation subroutine cheswapr (characterUPLO, integerN, complex, dimension( lda, n )A, integerLDA, integerI1, integerI2) CHESWAPR applies an elementary permutation on the rows and columns of a Hermitian matrix. Purpose:…
chesvxx.f – Synopsis Functions/Subroutines subroutine chesvxx (FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, EQUED, S, B, LDB, X, LDX, RCOND, RPVGRW, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, RWORK, INFO) CHESVXX computes the solution to system of linear equations A * X = B for HE matrices Function/Subroutine Documentation subroutine chesvxx (characterFACT, characterUPLO,…
chesvx.f – Synopsis Functions/Subroutines subroutine chesvx (FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, LWORK, RWORK, INFO) CHESVX computes the solution to system of linear equations A * X = B for HE matrices Function/Subroutine Documentation subroutine chesvx (characterFACT, characterUPLO, integerN, integerNRHS, complex, dimension( lda, *…
NAME chesv_rook.f – SYNOPSIS Functions/Subroutines subroutine chesv_rook (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO) CHESV_ROOK computes the solution to a system of linear equations A * X = B for HE matrices using the bounded Bunch-Kaufman (‘rook’) diagonal pivoting method Function/Subroutine Documentation subroutine chesv_rook (characterUPLO, integerN, integerNRHS, complex, dimension( lda, *…
chesv.f – Synopsis Functions/Subroutines subroutine chesv (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO) CHESV computes the solution to system of linear equations A * X = B for HE matrices Function/Subroutine Documentation subroutine chesv (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldb, *…
cherk.f – Synopsis Functions/Subroutines subroutine cherk (UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC) CHERK Function/Subroutine Documentation subroutine cherk (characterUPLO, characterTRANS, integerN, integerK, realALPHA, complex, dimension(lda,*)A, integerLDA, realBETA, complex, dimension(ldc,*)C, integerLDC) CHERK Purpose: CHERK performs one of the hermitian rank k operations C := alpha*A*A**H + beta*C, or C := alpha*A**H*A + beta*C,…
cherfsx.f – Synopsis Functions/Subroutines subroutine cherfsx (UPLO, EQUED, N, NRHS, A, LDA, AF, LDAF, IPIV, S, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, RWORK, INFO) CHERFSX Function/Subroutine Documentation subroutine cherfsx (characterUPLO, characterEQUED, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV,…
cherfs.f – Synopsis Functions/Subroutines subroutine cherfs (UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CHERFS Function/Subroutine Documentation subroutine cherfs (characterUPLO, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, complex, dimension(…
cher2k.f – Synopsis Functions/Subroutines subroutine cher2k (UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CHER2K Function/Subroutine Documentation subroutine cher2k (characterUPLO, characterTRANS, integerN, integerK, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB, realBETA, complex, dimension(ldc,*)C, integerLDC) CHER2K Purpose: CHER2K performs one of the hermitian rank 2k operations C := alpha*A*B**H + conjg( alpha…
cher2.f – Synopsis Functions/Subroutines subroutine cher2 (UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA) CHER2 Function/Subroutine Documentation subroutine cher2 (characterUPLO, integerN, complexALPHA, complex, dimension(*)X, integerINCX, complex, dimension(*)Y, integerINCY, complex, dimension(lda,*)A, integerLDA) CHER2 Purpose: CHER2 performs the hermitian rank 2 operation A := alpha*x*y**H + conjg( alpha )*y*x**H + A, where alpha is a scalar,…
cher.f – Synopsis Functions/Subroutines subroutine cher (UPLO, N, ALPHA, X, INCX, A, LDA) CHER Function/Subroutine Documentation subroutine cher (characterUPLO, integerN, realALPHA, complex, dimension(*)X, integerINCX, complex, dimension(lda,*)A, integerLDA) CHER Purpose: CHER performs the hermitian rank 1 operation A := alpha*x*x**H + A, where alpha is a real scalar, x is an n element vector and A…