Section 3: library functions
NAME dgels.f – SYNOPSIS Functions/Subroutines subroutine dgels (TRANS, M, N, NRHS, A, LDA, B, LDB, WORK, LWORK, INFO) DGELS solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentation subroutine dgels (characterTRANS, integerM, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( * )WORK, integerLWORK,…
NAME dgelqf.f – SYNOPSIS Functions/Subroutines subroutine dgelqf (M, N, A, LDA, TAU, WORK, LWORK, INFO) DGELQF Function/Subroutine Documentation subroutine dgelqf (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO) DGELQF Purpose: DGELQF computes an LQ factorization of a real M-by-N matrix A: A…
NAME dgelq2.f – SYNOPSIS Functions/Subroutines subroutine dgelq2 (M, N, A, LDA, TAU, WORK, INFO) DGELQ2 computes the LQ factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentation subroutine dgelq2 (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerINFO) DGELQ2 computes the…
NAME dgejsv.f – SYNOPSIS Functions/Subroutines subroutine dgejsv (JOBA, JOBU, JOBV, JOBR, JOBT, JOBP, M, N, A, LDA, SVA, U, LDU, V, LDV, WORK, LWORK, IWORK, INFO) DGEJSV Function/Subroutine Documentation subroutine dgejsv (character*1JOBA, character*1JOBU, character*1JOBV, character*1JOBR, character*1JOBT, character*1JOBP, integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( n )SVA, double precision, dimension( ldu,…
NAME dgehrd.f – SYNOPSIS Functions/Subroutines subroutine dgehrd (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) DGEHRD Function/Subroutine Documentation subroutine dgehrd (integerN, integerILO, integerIHI, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO) DGEHRD Purpose: DGEHRD reduces a real general matrix A to upper Hessenberg…
NAME dgehd2.f – SYNOPSIS Functions/Subroutines subroutine dgehd2 (N, ILO, IHI, A, LDA, TAU, WORK, INFO) DGEHD2 reduces a general square matrix to upper Hessenberg form using an unblocked algorithm. Function/Subroutine Documentation subroutine dgehd2 (integerN, integerILO, integerIHI, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerINFO) DGEHD2…
NAME dgegv.f – SYNOPSIS Functions/Subroutines subroutine dgegv (JOBVL, JOBVR, N, A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, VL, LDVL, VR, LDVR, WORK, LWORK, INFO) DGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine dgegv (characterJOBVL, characterJOBVR, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension(…
NAME dgegs.f – SYNOPSIS Functions/Subroutines subroutine dgegs (JOBVSL, JOBVSR, N, A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, VSL, LDVSL, VSR, LDVSR, WORK, LWORK, INFO) DGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine dgegs (characterJOBVSL, characterJOBVSR, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension(…
NAME dgeevx.f – SYNOPSIS Functions/Subroutines subroutine dgeevx (BALANC, JOBVL, JOBVR, SENSE, N, A, LDA, WR, WI, VL, LDVL, VR, LDVR, ILO, IHI, SCALE, ABNRM, RCONDE, RCONDV, WORK, LWORK, IWORK, INFO) DGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine dgeevx (characterBALANC, characterJOBVL, characterJOBVR, characterSENSE, integerN, double precision,…
NAME dgeev.f – SYNOPSIS Functions/Subroutines subroutine dgeev (JOBVL, JOBVR, N, A, LDA, WR, WI, VL, LDVL, VR, LDVR, WORK, LWORK, INFO) DGEEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine dgeev (characterJOBVL, characterJOBVR, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )WR, double…
NAME dgeesx.f – SYNOPSIS Functions/Subroutines subroutine dgeesx (JOBVS, SORT, SELECT, SENSE, N, A, LDA, SDIM, WR, WI, VS, LDVS, RCONDE, RCONDV, WORK, LWORK, IWORK, LIWORK, BWORK, INFO) DGEESX computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine dgeesx (characterJOBVS, characterSORT, logical, externalSELECT, characterSENSE, integerN, double…
NAME dgees.f – SYNOPSIS Functions/Subroutines subroutine dgees (JOBVS, SORT, SELECT, N, A, LDA, SDIM, WR, WI, VS, LDVS, WORK, LWORK, BWORK, INFO) DGEES computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine dgees (characterJOBVS, characterSORT, logical, externalSELECT, integerN, double precision, dimension( lda, * )A, integerLDA,…
NAME dgeequb.f – SYNOPSIS Functions/Subroutines subroutine dgeequb (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) DGEEQUB Function/Subroutine Documentation subroutine dgeequb (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )R, double precision, dimension( * )C, double precisionROWCND, double precisionCOLCND, double precisionAMAX, integerINFO) DGEEQUB Purpose: DGEEQUB computes row and column…
NAME dgeequ.f – SYNOPSIS Functions/Subroutines subroutine dgeequ (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) DGEEQU Function/Subroutine Documentation subroutine dgeequ (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )R, double precision, dimension( * )C, double precisionROWCND, double precisionCOLCND, double precisionAMAX, integerINFO) DGEEQU Purpose: DGEEQU computes row and column…
NAME dgecon.f – SYNOPSIS Functions/Subroutines subroutine dgecon (NORM, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO) DGECON Function/Subroutine Documentation subroutine dgecon (characterNORM, integerN, double precision, dimension( lda, * )A, integerLDA, double precisionANORM, double precisionRCOND, double precision, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO) DGECON Purpose: DGECON estimates the reciprocal of the condition number of…
NAME dgebrd.f – SYNOPSIS Functions/Subroutines subroutine dgebrd (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK, INFO) DGEBRD Function/Subroutine Documentation subroutine dgebrd (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( * )TAUQ, double precision, dimension( * )TAUP, double precision, dimension(…
NAME dgebd2.f – SYNOPSIS Functions/Subroutines subroutine dgebd2 (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO) DGEBD2 reduces a general matrix to bidiagonal form using an unblocked algorithm. Function/Subroutine Documentation subroutine dgebd2 (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension(…
NAME dgebal.f – SYNOPSIS Functions/Subroutines subroutine dgebal (JOB, N, A, LDA, ILO, IHI, SCALE, INFO) DGEBAL Function/Subroutine Documentation subroutine dgebal (characterJOB, integerN, double precision, dimension( lda, * )A, integerLDA, integerILO, integerIHI, double precision, dimension( * )SCALE, integerINFO) DGEBAL Purpose: DGEBAL balances a general real matrix A. This involves, first, permuting A by a similarity transformation…
NAME dgebak.f – SYNOPSIS Functions/Subroutines subroutine dgebak (JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO) DGEBAK Function/Subroutine Documentation subroutine dgebak (characterJOB, characterSIDE, integerN, integerILO, integerIHI, double precision, dimension( * )SCALE, integerM, double precision, dimension( ldv, * )V, integerLDV, integerINFO) DGEBAK Purpose: DGEBAK forms the right or left eigenvectors of a real general matrix…
NAME dgbtrs.f – SYNOPSIS Functions/Subroutines subroutine dgbtrs (TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) DGBTRS Function/Subroutine Documentation subroutine dgbtrs (characterTRANS, integerN, integerKL, integerKU, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, double precision, dimension( ldb, * )B, integerLDB, integerINFO) DGBTRS Purpose: DGBTRS solves a system of linear…