Section 3: library functions
ssytri.f – Synopsis Functions/Subroutines subroutine ssytri (UPLO, N, A, LDA, IPIV, WORK, INFO) SSYTRI Function/Subroutine Documentation subroutine ssytri (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, real, dimension( * )WORK, integerINFO) SSYTRI Purpose: SSYTRI computes the inverse of a real symmetric indefinite matrix A using the factorization A = U*D*U**T or…
ssytrf_rook.f – Synopsis Functions/Subroutines subroutine ssytrf_rook (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) SSYTRF_ROOK Function/Subroutine Documentation subroutine ssytrf_rook (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, real, dimension( * )WORK, integerLWORK, integerINFO) SSYTRF_ROOK Purpose: SSYTRF_ROOK computes the factorization of a real symmetric matrix A using the bounded Bunch-Kaufman ("rook") diagonal…
ssytrf.f – Synopsis Functions/Subroutines subroutine ssytrf (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) SSYTRF Function/Subroutine Documentation subroutine ssytrf (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, real, dimension( * )WORK, integerLWORK, integerINFO) SSYTRF Purpose: SSYTRF computes the factorization of a real symmetric matrix A using the Bunch-Kaufman diagonal pivoting method….
ssytrd.f – Synopsis Functions/Subroutines subroutine ssytrd (UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO) SSYTRD Function/Subroutine Documentation subroutine ssytrd (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, real, dimension( * )TAU, real, dimension( * )WORK, integerLWORK, integerINFO) SSYTRD Purpose: SSYTRD reduces a real symmetric matrix…
ssytf2_rook.f – Synopsis Functions/Subroutines subroutine ssytf2_rook (UPLO, N, A, LDA, IPIV, INFO) SSYTF2_ROOK computes the factorization of a real symmetric indefinite matrix using the bounded Bunch-Kaufman (‘rook’) diagonal pivoting method (unblocked algorithm). Function/Subroutine Documentation subroutine ssytf2_rook (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO) SSYTF2_ROOK computes the factorization of a…
ssytf2.f – Synopsis Functions/Subroutines subroutine ssytf2 (UPLO, N, A, LDA, IPIV, INFO) SSYTF2 computes the factorization of a real symmetric indefinite matrix, using the diagonal pivoting method (unblocked algorithm). Function/Subroutine Documentation subroutine ssytf2 (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO) SSYTF2 computes the factorization of a real symmetric indefinite…
ssytd2.f – Synopsis Functions/Subroutines subroutine ssytd2 (UPLO, N, A, LDA, D, E, TAU, INFO) SSYTD2 reduces a symmetric matrix to real symmetric tridiagonal form by an orthogonal similarity transformation (unblocked algorithm). Function/Subroutine Documentation subroutine ssytd2 (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, real, dimension( * )TAU,…
ssyswapr.f – Synopsis Functions/Subroutines subroutine ssyswapr (UPLO, N, A, LDA, I1, I2) SSYSWAPR applies an elementary permutation on the rows and columns of a symmetric matrix. Function/Subroutine Documentation subroutine ssyswapr (characterUPLO, integerN, real, dimension( lda, n )A, integerLDA, integerI1, integerI2) SSYSWAPR applies an elementary permutation on the rows and columns of a symmetric matrix. Purpose:…
ssysvxx.f – Synopsis Functions/Subroutines subroutine ssysvxx (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, IWORK, INFO) SSYSVXX Function/Subroutine Documentation subroutine ssysvxx (characterFACT, characterUPLO, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension(…
ssysvx.f – Synopsis Functions/Subroutines subroutine ssysvx (FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, LWORK, IWORK, INFO) SSYSVX computes the solution to system of linear equations A * X = B for SY matrices Function/Subroutine Documentation subroutine ssysvx (characterFACT, characterUPLO, integerN, integerNRHS, real, dimension( lda, *…
ssysv_rook.f – Synopsis Functions/Subroutines subroutine ssysv_rook (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO) SSYSV_ROOK computes the solution to system of linear equations A * X = B for SY matrices Function/Subroutine Documentation subroutine ssysv_rook (characterUPLO, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, real, dimension( ldb, *…
ssysv.f – Synopsis Functions/Subroutines subroutine ssysv (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO) SSYSV computes the solution to system of linear equations A * X = B for SY matrices Function/Subroutine Documentation subroutine ssysv (characterUPLO, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, real, dimension( ldb, *…
ssyrk.f – Synopsis Functions/Subroutines subroutine ssyrk (UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC) SSYRK Function/Subroutine Documentation subroutine ssyrk (characterUPLO, characterTRANS, integerN, integerK, realALPHA, real, dimension(lda,*)A, integerLDA, realBETA, real, dimension(ldc,*)C, integerLDC) SSYRK Purpose: SSYRK performs one of the symmetric rank k operations C := alpha*A*A**T + beta*C, or C := alpha*A**T*A + beta*C,…
ssyrfsx.f – Synopsis Functions/Subroutines subroutine ssyrfsx (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, IWORK, INFO) SSYRFSX Function/Subroutine Documentation subroutine ssyrfsx (characterUPLO, characterEQUED, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV,…
ssyrfs.f – Synopsis Functions/Subroutines subroutine ssyrfs (UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) SSYRFS Function/Subroutine Documentation subroutine ssyrfs (characterUPLO, integerN, integerNRHS, real, dimension( lda, * )A, integerLDA, real, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension( ldb, * )B, integerLDB, real, dimension(…
ssyr2k.f – Synopsis Functions/Subroutines subroutine ssyr2k (UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) SSYR2K Function/Subroutine Documentation subroutine ssyr2k (characterUPLO, characterTRANS, integerN, integerK, realALPHA, real, dimension(lda,*)A, integerLDA, real, dimension(ldb,*)B, integerLDB, realBETA, real, dimension(ldc,*)C, integerLDC) SSYR2K Purpose: SSYR2K performs one of the symmetric rank 2k operations C := alpha*A*B**T + alpha*B*A**T +…
ssyr2.f – Synopsis Functions/Subroutines subroutine ssyr2 (UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA) SSYR2 Function/Subroutine Documentation subroutine ssyr2 (characterUPLO, integerN, realALPHA, real, dimension(*)X, integerINCX, real, dimension(*)Y, integerINCY, real, dimension(lda,*)A, integerLDA) SSYR2 Purpose: SSYR2 performs the symmetric rank 2 operation A := alpha*x*y**T + alpha*y*x**T + A, where alpha is a scalar, x and…
ssyr.f – Synopsis Functions/Subroutines subroutine ssyr (UPLO, N, ALPHA, X, INCX, A, LDA) SSYR Function/Subroutine Documentation subroutine ssyr (characterUPLO, integerN, realALPHA, real, dimension(*)X, integerINCX, real, dimension(lda,*)A, integerLDA) SSYR Purpose: SSYR performs the symmetric rank 1 operation A := alpha*x*x**T + A, where alpha is a real scalar, x is an n element vector and A…
ssymv.f – Synopsis Functions/Subroutines subroutine ssymv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) SSYMV Function/Subroutine Documentation subroutine ssymv (characterUPLO, integerN, realALPHA, real, dimension(lda,*)A, integerLDA, real, dimension(*)X, integerINCX, realBETA, real, dimension(*)Y, integerINCY) SSYMV Purpose: SSYMV performs the matrix-vector operation y := alpha*A*x + beta*y, where alpha and beta are scalars, x and y…
ssymm.f – Synopsis Functions/Subroutines subroutine ssymm (SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC) SSYMM Function/Subroutine Documentation subroutine ssymm (characterSIDE, characterUPLO, integerM, integerN, realALPHA, real, dimension(lda,*)A, integerLDA, real, dimension(ldb,*)B, integerLDB, realBETA, real, dimension(ldc,*)C, integerLDC) SSYMM Purpose: SSYMM performs one of the matrix-matrix operations C := alpha*A*B + beta*C, or C :=…