Section 3: library functions
NAME dsytrf.f – SYNOPSIS Functions/Subroutines subroutine dsytrf (UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO) DSYTRF Function/Subroutine Documentation subroutine dsytrf (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, double precision, dimension( * )WORK, integerLWORK, integerINFO) DSYTRF Purpose: DSYTRF computes the factorization of a real symmetric matrix A using the Bunch-Kaufman…
NAME dsytrd.f – SYNOPSIS Functions/Subroutines subroutine dsytrd (UPLO, N, A, LDA, D, E, TAU, WORK, LWORK, INFO) DSYTRD Function/Subroutine Documentation subroutine dsytrd (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO) DSYTRD Purpose:…
NAME dsytf2.f – SYNOPSIS Functions/Subroutines subroutine dsytf2 (UPLO, N, A, LDA, IPIV, INFO) DSYTF2 computes the factorization of a real symmetric indefinite matrix, using the diagonal pivoting method (unblocked algorithm). Function/Subroutine Documentation subroutine dsytf2 (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO) DSYTF2 computes the factorization of a real…
NAME dsytd2.f – SYNOPSIS Functions/Subroutines subroutine dsytd2 (UPLO, N, A, LDA, D, E, TAU, INFO) DSYTD2 reduces a symmetric matrix to real symmetric tridiagonal form by an orthogonal similarity transformation (unblocked algorithm). Function/Subroutine Documentation subroutine dsytd2 (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )D, double precision, dimension( * )E,…
NAME dsyswapr.f – SYNOPSIS Functions/Subroutines subroutine dsyswapr (UPLO, N, A, LDA, I1, I2) DSYSWAPR applies an elementary permutation on the rows and columns of a symmetric matrix. Function/Subroutine Documentation subroutine dsyswapr (characterUPLO, integerN, double precision, dimension( lda, n )A, integerLDA, integerI1, integerI2) DSYSWAPR applies an elementary permutation on the rows and columns of a symmetric…
NAME dsysvxx.f – SYNOPSIS Functions/Subroutines subroutine dsysvxx (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) DSYSVXX Function/Subroutine Documentation subroutine dsysvxx (characterFACT, characterUPLO, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldaf, * )AF,…
NAME dsysvx.f – SYNOPSIS Functions/Subroutines subroutine dsysvx (FACT, UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, LWORK, IWORK, INFO) DSYSVX computes the solution to system of linear equations A * X = B for SY matrices Function/Subroutine Documentation subroutine dsysvx (characterFACT, characterUPLO, integerN, integerNRHS, double precision, dimension(…
NAME dsysv.f – SYNOPSIS Functions/Subroutines subroutine dsysv (UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO) DSYSV computes the solution to system of linear equations A * X = B for SY matrices Function/Subroutine Documentation subroutine dsysv (characterUPLO, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, double precision,…
NAME dsyrk.f – SYNOPSIS Functions/Subroutines subroutine dsyrk (UPLO, TRANS, N, K, ALPHA, A, LDA, BETA, C, LDC) DSYRK Function/Subroutine Documentation subroutine dsyrk (characterUPLO, characterTRANS, integerN, integerK, double precisionALPHA, double precision, dimension(lda,*)A, integerLDA, double precisionBETA, double precision, dimension(ldc,*)C, integerLDC) DSYRK Purpose: DSYRK performs one of the symmetric rank k operations C := alpha*A*A**T + beta*C, or…
NAME dsyrfsx.f – SYNOPSIS Functions/Subroutines subroutine dsyrfsx (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) DSYRFSX Function/Subroutine Documentation subroutine dsyrfsx (characterUPLO, characterEQUED, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldaf, * )AF, integerLDAF, integer,…
NAME dsyrfs.f – SYNOPSIS Functions/Subroutines subroutine dsyrfs (UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) DSYRFS Function/Subroutine Documentation subroutine dsyrfs (characterUPLO, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, double precision, dimension( ldb, *…
NAME dsyr2k.f – SYNOPSIS Functions/Subroutines subroutine dsyr2k (UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) DSYR2K Function/Subroutine Documentation subroutine dsyr2k (characterUPLO, characterTRANS, integerN, integerK, double precisionALPHA, double precision, dimension(lda,*)A, integerLDA, double precision, dimension(ldb,*)B, integerLDB, double precisionBETA, double precision, dimension(ldc,*)C, integerLDC) DSYR2K Purpose: DSYR2K performs one of the symmetric rank 2k operations…
NAME dsyr2.f – SYNOPSIS Functions/Subroutines subroutine dsyr2 (UPLO, N, ALPHA, X, INCX, Y, INCY, A, LDA) DSYR2 Function/Subroutine Documentation subroutine dsyr2 (characterUPLO, integerN, double precisionALPHA, double precision, dimension(*)X, integerINCX, double precision, dimension(*)Y, integerINCY, double precision, dimension(lda,*)A, integerLDA) DSYR2 Purpose: DSYR2 performs the symmetric rank 2 operation A := alpha*x*y**T + alpha*y*x**T + A, where alpha…
NAME dsyr.f – SYNOPSIS Functions/Subroutines subroutine dsyr (UPLO, N, ALPHA, X, INCX, A, LDA) DSYR Function/Subroutine Documentation subroutine dsyr (characterUPLO, integerN, double precisionALPHA, double precision, dimension(*)X, integerINCX, double precision, dimension(lda,*)A, integerLDA) DSYR Purpose: DSYR performs the symmetric rank 1 operation A := alpha*x*x**T + A, where alpha is a real scalar, x is an n…
NAME dsymv.f – SYNOPSIS Functions/Subroutines subroutine dsymv (UPLO, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) DSYMV Function/Subroutine Documentation subroutine dsymv (characterUPLO, integerN, double precisionALPHA, double precision, dimension(lda,*)A, integerLDA, double precision, dimension(*)X, integerINCX, double precisionBETA, double precision, dimension(*)Y, integerINCY) DSYMV Purpose: DSYMV performs the matrix-vector operation y := alpha*A*x + beta*y, where alpha and…
NAME dsymm.f – SYNOPSIS Functions/Subroutines subroutine dsymm (SIDE, UPLO, M, N, ALPHA, A, LDA, B, LDB, BETA, C, LDC) DSYMM Function/Subroutine Documentation subroutine dsymm (characterSIDE, characterUPLO, integerM, integerN, double precisionALPHA, double precision, dimension(lda,*)A, integerLDA, double precision, dimension(ldb,*)B, integerLDB, double precisionBETA, double precision, dimension(ldc,*)C, integerLDC) DSYMM Purpose: DSYMM performs one of the matrix-matrix operations C :=…
NAME dsygvx.f – SYNOPSIS Functions/Subroutines subroutine dsygvx (ITYPE, JOBZ, RANGE, UPLO, N, A, LDA, B, LDB, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, LWORK, IWORK, IFAIL, INFO) DSYGST Function/Subroutine Documentation subroutine dsygvx (integerITYPE, characterJOBZ, characterRANGE, characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double…
NAME dsygvd.f – SYNOPSIS Functions/Subroutines subroutine dsygvd (ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK, LWORK, IWORK, LIWORK, INFO) DSYGST Function/Subroutine Documentation subroutine dsygvd (integerITYPE, characterJOBZ, characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( * )W, double precision, dimension( * )WORK, integerLWORK,…
NAME dsygv.f – SYNOPSIS Functions/Subroutines subroutine dsygv (ITYPE, JOBZ, UPLO, N, A, LDA, B, LDB, W, WORK, LWORK, INFO) DSYGST Function/Subroutine Documentation subroutine dsygv (integerITYPE, characterJOBZ, characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( * )W, double precision, dimension( * )WORK, integerLWORK, integerINFO) DSYGST…
NAME dsygst.f – SYNOPSIS Functions/Subroutines subroutine dsygst (ITYPE, UPLO, N, A, LDA, B, LDB, INFO) DSYGST Function/Subroutine Documentation subroutine dsygst (integerITYPE, characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, integerINFO) DSYGST Purpose: DSYGST reduces a real symmetric-definite generalized eigenproblem to standard form. If ITYPE = 1, the…