Section 3: library functions
NAME dsptrs.f – SYNOPSIS Functions/Subroutines subroutine dsptrs (UPLO, N, NRHS, AP, IPIV, B, LDB, INFO) DSPTRS Function/Subroutine Documentation subroutine dsptrs (characterUPLO, integerN, integerNRHS, double precision, dimension( * )AP, integer, dimension( * )IPIV, double precision, dimension( ldb, * )B, integerLDB, integerINFO) DSPTRS Purpose: DSPTRS solves a system of linear equations A*X = B with a real…
NAME dsptri.f – SYNOPSIS Functions/Subroutines subroutine dsptri (UPLO, N, AP, IPIV, WORK, INFO) DSPTRI Function/Subroutine Documentation subroutine dsptri (characterUPLO, integerN, double precision, dimension( * )AP, integer, dimension( * )IPIV, double precision, dimension( * )WORK, integerINFO) DSPTRI Purpose: DSPTRI computes the inverse of a real symmetric indefinite matrix A in packed storage using the factorization A…
NAME dsptrf.f – SYNOPSIS Functions/Subroutines subroutine dsptrf (UPLO, N, AP, IPIV, INFO) DSPTRF Function/Subroutine Documentation subroutine dsptrf (characterUPLO, integerN, double precision, dimension( * )AP, integer, dimension( * )IPIV, integerINFO) DSPTRF Purpose: DSPTRF computes the factorization of a real symmetric matrix A stored in packed format using the Bunch-Kaufman diagonal pivoting method: A = U*D*U**T or…
NAME dsptrd.f – SYNOPSIS Functions/Subroutines subroutine dsptrd (UPLO, N, AP, D, E, TAU, INFO) DSPTRD Function/Subroutine Documentation subroutine dsptrd (characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( * )TAU, integerINFO) DSPTRD Purpose: DSPTRD reduces a real symmetric matrix A stored in packed form…
NAME dspsvx.f – SYNOPSIS Functions/Subroutines subroutine dspsvx (FACT, UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) DSPSVX computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine dspsvx (characterFACT, characterUPLO, integerN, integerNRHS, double precision, dimension( * )AP, double…
NAME dspsv.f – SYNOPSIS Functions/Subroutines subroutine dspsv (UPLO, N, NRHS, AP, IPIV, B, LDB, INFO) DSPSV computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentation subroutine dspsv (characterUPLO, integerN, integerNRHS, double precision, dimension( * )AP, integer, dimension( * )IPIV, double precision, dimension( ldb, * )B, integerLDB,…
NAME dsprfs.f – SYNOPSIS Functions/Subroutines subroutine dsprfs (UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) DSPRFS Function/Subroutine Documentation subroutine dsprfs (characterUPLO, integerN, integerNRHS, double precision, dimension( * )AP, double precision, dimension( * )AFP, integer, dimension( * )IPIV, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( ldx,…
NAME dspr2.f – SYNOPSIS Functions/Subroutines subroutine dspr2 (UPLO, N, ALPHA, X, INCX, Y, INCY, AP) DSPR2 Function/Subroutine Documentation subroutine dspr2 (characterUPLO, integerN, double precisionALPHA, double precision, dimension(*)X, integerINCX, double precision, dimension(*)Y, integerINCY, double precision, dimension(*)AP) DSPR2 Purpose: DSPR2 performs the symmetric rank 2 operation A := alpha*x*y**T + alpha*y*x**T + A, where alpha is a…
NAME dspr.f – SYNOPSIS Functions/Subroutines subroutine dspr (UPLO, N, ALPHA, X, INCX, AP) DSPR Function/Subroutine Documentation subroutine dspr (characterUPLO, integerN, double precisionALPHA, double precision, dimension(*)X, integerINCX, double precision, dimension(*)AP) DSPR Purpose: DSPR performs the symmetric rank 1 operation A := alpha*x*x**T + A, where alpha is a real scalar, x is an n element vector…
NAME dsposv.f – SYNOPSIS Functions/Subroutines subroutine dsposv (UPLO, N, NRHS, A, LDA, B, LDB, X, LDX, WORK, SWORK, ITER, INFO) DSPOSV computes the solution to system of linear equations A * X = B for PO matrices Function/Subroutine Documentation subroutine dsposv (characterUPLO, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb,…
NAME dspmv.f – SYNOPSIS Functions/Subroutines subroutine dspmv (UPLO, N, ALPHA, AP, X, INCX, BETA, Y, INCY) DSPMV Function/Subroutine Documentation subroutine dspmv (characterUPLO, integerN, double precisionALPHA, double precision, dimension(*)AP, double precision, dimension(*)X, integerINCX, double precisionBETA, double precision, dimension(*)Y, integerINCY) DSPMV Purpose: DSPMV performs the matrix-vector operation y := alpha*A*x + beta*y, where alpha and beta are…
NAME dspgvx.f – SYNOPSIS Functions/Subroutines subroutine dspgvx (ITYPE, JOBZ, RANGE, UPLO, N, AP, BP, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, IWORK, IFAIL, INFO) DSPGST Function/Subroutine Documentation subroutine dspgvx (integerITYPE, characterJOBZ, characterRANGE, characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )BP, double precisionVL, double precisionVU, integerIL, integerIU, double precisionABSTOL,…
NAME dspgvd.f – SYNOPSIS Functions/Subroutines subroutine dspgvd (ITYPE, JOBZ, UPLO, N, AP, BP, W, Z, LDZ, WORK, LWORK, IWORK, LIWORK, INFO) DSPGST Function/Subroutine Documentation subroutine dspgvd (integerITYPE, characterJOBZ, characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )BP, double precision, dimension( * )W, double precision, dimension( ldz, * )Z, integerLDZ, double precision, dimension(…
NAME dspgv.f – SYNOPSIS Functions/Subroutines subroutine dspgv (ITYPE, JOBZ, UPLO, N, AP, BP, W, Z, LDZ, WORK, INFO) DSPGST Function/Subroutine Documentation subroutine dspgv (integerITYPE, characterJOBZ, characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )BP, double precision, dimension( * )W, double precision, dimension( ldz, * )Z, integerLDZ, double precision, dimension( * )WORK, integerINFO)…
NAME dspgst.f – SYNOPSIS Functions/Subroutines subroutine dspgst (ITYPE, UPLO, N, AP, BP, INFO) DSPGST Function/Subroutine Documentation subroutine dspgst (integerITYPE, characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )BP, integerINFO) DSPGST Purpose: DSPGST reduces a real symmetric-definite generalized eigenproblem to standard form, using packed storage. If ITYPE = 1, the problem is A*x…
NAME dspevx.f – SYNOPSIS Functions/Subroutines subroutine dspevx (JOBZ, RANGE, UPLO, N, AP, VL, VU, IL, IU, ABSTOL, M, W, Z, LDZ, WORK, IWORK, IFAIL, INFO) DSPEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine dspevx (characterJOBZ, characterRANGE, characterUPLO, integerN, double precision, dimension( * )AP, double precisionVL, double…
NAME dspevd.f – SYNOPSIS Functions/Subroutines subroutine dspevd (JOBZ, UPLO, N, AP, W, Z, LDZ, WORK, LWORK, IWORK, LIWORK, INFO) DSPEVD computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine dspevd (characterJOBZ, characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )W, double precision, dimension( ldz, *…
NAME dspev.f – SYNOPSIS Functions/Subroutines subroutine dspev (JOBZ, UPLO, N, AP, W, Z, LDZ, WORK, INFO) DSPEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices Function/Subroutine Documentation subroutine dspev (characterJOBZ, characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )W, double precision, dimension( ldz, * )Z, integerLDZ, double…
NAME dspcon.f – SYNOPSIS Functions/Subroutines subroutine dspcon (UPLO, N, AP, IPIV, ANORM, RCOND, WORK, IWORK, INFO) DSPCON Function/Subroutine Documentation subroutine dspcon (characterUPLO, integerN, double precision, dimension( * )AP, integer, dimension( * )IPIV, double precisionANORM, double precisionRCOND, double precision, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) DSPCON Purpose: DSPCON estimates the reciprocal of the condition…
NAME dsgesv.f – SYNOPSIS Functions/Subroutines subroutine dsgesv (N, NRHS, A, LDA, IPIV, B, LDB, X, LDX, WORK, SWORK, ITER, INFO) DSGESV computes the solution to system of linear equations A * X = B for GE matrices (mixed precision with iterative refinement) Function/Subroutine Documentation subroutine dsgesv (integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA,…