Section 3: library functions
dgeqlf.f – SynopsisFunctions/Subroutinessubroutine dgeqlf (M, N, A, LDA, TAU, WORK, LWORK, INFO) DGEQLF Function/Subroutine Documentationsubroutine dgeqlf (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO)DGEQLF Purpose: DGEQLF computes a QL factorization of a real M-by-N matrix A: A = Q * L. Parameters:…
dgeql2.f – SynopsisFunctions/Subroutinessubroutine dgeql2 (M, N, A, LDA, TAU, WORK, INFO) DGEQL2 computes the QL factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentationsubroutine dgeql2 (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerINFO)DGEQL2 computes the QL factorization of a general…
dgemv.f – SynopsisFunctions/Subroutinessubroutine dgemv (TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) DGEMV Function/Subroutine Documentationsubroutine dgemv (characterTRANS, integerM, integerN, double precisionALPHA, double precision, dimension(lda,*)A, integerLDA, double precision, dimension(*)X, integerINCX, double precisionBETA, double precision, dimension(*)Y, integerINCY)DGEMV Purpose: DGEMV performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A**T*x…
dgemqrt.f – SynopsisFunctions/Subroutinessubroutine dgemqrt (SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C, LDC, WORK, INFO) DGEMQRT Function/Subroutine Documentationsubroutine dgemqrt (characterSIDE, characterTRANS, integerM, integerN, integerK, integerNB, double precision, dimension( ldv, * )V, integerLDV, double precision, dimension( ldt, * )T, integerLDT, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerINFO)DGEMQRT…
dgemm.f – SynopsisFunctions/Subroutinessubroutine dgemm (TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) DGEMM Function/Subroutine Documentationsubroutine dgemm (characterTRANSA, characterTRANSB, integerM, integerN, integerK, double precisionALPHA, double precision, dimension(lda,*)A, integerLDA, double precision, dimension(ldb,*)B, integerLDB, double precisionBETA, double precision, dimension(ldc,*)C, integerLDC)DGEMM Purpose: DGEMM performs one of the matrix-matrix operations C := alpha*op( A )*op(…
dgelsy.f – SynopsisFunctions/Subroutinessubroutine dgelsy (M, N, NRHS, A, LDA, B, LDB, JPVT, RCOND, RANK, WORK, LWORK, INFO) DGELSY solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentationsubroutine dgelsy (integerM, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, integer, dimension( * )JPVT, double precisionRCOND, integerRANK, double precision,…
dgelsx.f – SynopsisFunctions/Subroutinessubroutine dgelsx (M, N, NRHS, A, LDA, B, LDB, JPVT, RCOND, RANK, WORK, INFO) DGELSX solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentationsubroutine dgelsx (integerM, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, integer, dimension( * )JPVT, double precisionRCOND, integerRANK, double precision, dimension(…
dgelss.f – SynopsisFunctions/Subroutinessubroutine dgelss (M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, WORK, LWORK, INFO) DGELSS solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentationsubroutine dgelss (integerM, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( * )S, double precisionRCOND, integerRANK, double…
dgelsd.f – SynopsisFunctions/Subroutinessubroutine dgelsd (M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, WORK, LWORK, IWORK, INFO) DGELSD computes the minimum-norm solution to a linear least squares problem for GE matrices Function/Subroutine Documentationsubroutine dgelsd (integerM, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension(…
dgels.f – SynopsisFunctions/Subroutinessubroutine dgels (TRANS, M, N, NRHS, A, LDA, B, LDB, WORK, LWORK, INFO) DGELS solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentationsubroutine dgels (characterTRANS, integerM, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( * )WORK, integerLWORK, integerINFO) DGELS solves overdetermined…
dgelqf.f – SynopsisFunctions/Subroutinessubroutine dgelqf (M, N, A, LDA, TAU, WORK, LWORK, INFO) DGELQF Function/Subroutine Documentationsubroutine 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 = L * Q. Parameters:…
dgelq2.f – SynopsisFunctions/Subroutinessubroutine dgelq2 (M, N, A, LDA, TAU, WORK, INFO) DGELQ2 computes the LQ factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentationsubroutine dgelq2 (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerINFO)DGELQ2 computes the LQ factorization of a general…
dgejsv.f – SynopsisFunctions/Subroutinessubroutine dgejsv (JOBA, JOBU, JOBV, JOBR, JOBT, JOBP, M, N, A, LDA, SVA, U, LDU, V, LDV, WORK, LWORK, IWORK, INFO) DGEJSV Function/Subroutine Documentationsubroutine 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, * )U, integerLDU, double…
dgehrd.f – SynopsisFunctions/Subroutinessubroutine dgehrd (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) DGEHRD Function/Subroutine Documentationsubroutine 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 H by an orthogonal…
dgehd2.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dgehd2 (integerN, integerILO, integerIHI, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerINFO)DGEHD2 reduces a general square matrix…
dgegv.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dgegv (characterJOBVL, characterJOBVR, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB,…
dgegs.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dgegs (characterJOBVSL, characterJOBVSR, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldb, * )B, integerLDB,…
dgeevx.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dgeevx (characterBALANC, characterJOBVL, characterJOBVR, characterSENSE, integerN, double precision, dimension( lda, * )A,…
dgeev.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dgeev (characterJOBVL, characterJOBVR, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )WR, double precision, dimension( * )WI,…
dgeesx.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dgeesx (characterJOBVS, characterSORT, logical, externalSELECT, characterSENSE, integerN, double precision, dimension( lda, *…