Section 3: library functions
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 form…
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 reduces…
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( ldb,…
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( ldb,…
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, dimension(…
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 precision,…
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 precision,…
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, integerSDIM,…
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 scalings…
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 scalings…
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 a…
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( *…
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( *…
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 to…
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 by…
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 equations…
dgbtrf.f – Synopsis Functions/Subroutines subroutine dgbtrf (M, N, KL, KU, AB, LDAB, IPIV, INFO) DGBTRF Function/Subroutine Documentation subroutine dgbtrf (integerM, integerN, integerKL, integerKU, double precision, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, integerINFO) DGBTRF Purpose: DGBTRF computes an LU factorization of a real m-by-n band matrix A using partial pivoting with row interchanges….
dgbtf2.f – Synopsis Functions/Subroutines subroutine dgbtf2 (M, N, KL, KU, AB, LDAB, IPIV, INFO) DGBTF2 computes the LU factorization of a general band matrix using the unblocked version of the algorithm. Function/Subroutine Documentation subroutine dgbtf2 (integerM, integerN, integerKL, integerKU, double precision, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, integerINFO) DGBTF2 computes the LU…
dgbsvxx.f – Synopsis Functions/Subroutines subroutine dgbsvxx (FACT, TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, RPVGRW, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) DGBSVXX computes the solution to system of linear equations A * X = B for GB matrices Function/Subroutine Documentation subroutine…
dgbsvx.f – Synopsis Functions/Subroutines subroutine dgbsvx (FACT, TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) DGBSVX computes the solution to system of linear equations A * X = B for GB matrices Function/Subroutine Documentation subroutine dgbsvx (characterFACT, characterTRANS, integerN, integerKL,…