Section 3: library functions
NAME dormhr.f – SYNOPSIS Functions/Subroutines subroutine dormhr (SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMHR Function/Subroutine Documentation subroutine dormhr (characterSIDE, characterTRANS, integerM, integerN, integerILO, integerIHI, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( *…
NAME dormbr.f – SYNOPSIS Functions/Subroutines subroutine dormbr (VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMBR Function/Subroutine Documentation subroutine dormbr (characterVECT, characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( *…
NAME dorm2r.f – SYNOPSIS Functions/Subroutines subroutine dorm2r (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) DORM2R multiplies a general matrix by the orthogonal matrix from a QR factorization determined by sgeqrf (unblocked algorithm). Function/Subroutine Documentation subroutine dorm2r (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision,…
NAME dorm2l.f – SYNOPSIS Functions/Subroutines subroutine dorm2l (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) DORM2L multiplies a general matrix by the orthogonal matrix from a QL factorization determined by sgeqlf (unblocked algorithm). Function/Subroutine Documentation subroutine dorm2l (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision,…
NAME dorgtr.f – SYNOPSIS Functions/Subroutines subroutine dorgtr (UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) DORGTR Function/Subroutine Documentation subroutine dorgtr (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO) DORGTR Purpose: DORGTR generates a real orthogonal matrix Q which is defined as the…
NAME dorgrq.f – SYNOPSIS Functions/Subroutines subroutine dorgrq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) DORGRQ Function/Subroutine Documentation subroutine dorgrq (integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO) DORGRQ Purpose: DORGRQ generates an M-by-N real matrix Q with orthonormal rows,…
NAME dorgr2.f – SYNOPSIS Functions/Subroutines subroutine dorgr2 (M, N, K, A, LDA, TAU, WORK, INFO) DORGR2 generates all or part of the orthogonal matrix Q from an RQ factorization determined by sgerqf (unblocked algorithm). Function/Subroutine Documentation subroutine dorgr2 (integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision,…
NAME dorgqr.f – SYNOPSIS Functions/Subroutines subroutine dorgqr (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) DORGQR Function/Subroutine Documentation subroutine dorgqr (integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO) DORGQR Purpose: DORGQR generates an M-by-N real matrix Q with orthonormal columns,…
NAME dorgql.f – SYNOPSIS Functions/Subroutines subroutine dorgql (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) DORGQL Function/Subroutine Documentation subroutine dorgql (integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO) DORGQL Purpose: DORGQL generates an M-by-N real matrix Q with orthonormal columns,…
NAME dorglq.f – SYNOPSIS Functions/Subroutines subroutine dorglq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) DORGLQ Function/Subroutine Documentation subroutine dorglq (integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO) DORGLQ Purpose: DORGLQ generates an M-by-N real matrix Q with orthonormal rows,…
NAME dorgl2.f – SYNOPSIS Functions/Subroutines subroutine dorgl2 (M, N, K, A, LDA, TAU, WORK, INFO) DORGL2 Function/Subroutine Documentation subroutine dorgl2 (integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerINFO) DORGL2 Purpose: DORGL2 generates an m by n real matrix Q with orthonormal rows,…
NAME dorghr.f – SYNOPSIS Functions/Subroutines subroutine dorghr (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) DORGHR Function/Subroutine Documentation subroutine dorghr (integerN, integerILO, integerIHI, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO) DORGHR Purpose: DORGHR generates a real orthogonal matrix Q which is defined…
NAME dorgbr.f – SYNOPSIS Functions/Subroutines subroutine dorgbr (VECT, M, N, K, A, LDA, TAU, WORK, LWORK, INFO) DORGBR Function/Subroutine Documentation subroutine dorgbr (characterVECT, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO) DORGBR Purpose: DORGBR generates one of the real orthogonal matrices…
NAME dorg2r.f – SYNOPSIS Functions/Subroutines subroutine dorg2r (M, N, K, A, LDA, TAU, WORK, INFO) DORG2R generates all or part of the orthogonal matrix Q from a QR factorization determined by sgeqrf (unblocked algorithm). Function/Subroutine Documentation subroutine dorg2r (integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision,…
NAME dorg2l.f – SYNOPSIS Functions/Subroutines subroutine dorg2l (M, N, K, A, LDA, TAU, WORK, INFO) DORG2L generates all or part of the orthogonal matrix Q from a QL factorization determined by sgeqlf (unblocked algorithm). Function/Subroutine Documentation subroutine dorg2l (integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision,…
NAME dorcsd.f – SYNOPSIS Functions/Subroutines recursive subroutine dorcsd (JOBU1, JOBU2, JOBV1T, JOBV2T, TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, U1, LDU1, U2, LDU2, V1T, LDV1T, V2T, LDV2T, WORK, LWORK, IWORK, INFO) DORCSD Function/Subroutine Documentation recursive subroutine dorcsd (characterJOBU1, characterJOBU2, characterJOBV1T, characterJOBV2T, characterTRANS, characterSIGNS, integerM, integerP, integerQ, double precision,…
NAME dorbdb.f – SYNOPSIS Functions/Subroutines subroutine dorbdb (TRANS, SIGNS, M, P, Q, X11, LDX11, X12, LDX12, X21, LDX21, X22, LDX22, THETA, PHI, TAUP1, TAUP2, TAUQ1, TAUQ2, WORK, LWORK, INFO) DORBDB Function/Subroutine Documentation subroutine dorbdb (characterTRANS, characterSIGNS, integerM, integerP, integerQ, double precision, dimension( ldx11, * )X11, integerLDX11, double precision, dimension( ldx12, * )X12, integerLDX12, double precision,…
NAME dopmtr.f – SYNOPSIS Functions/Subroutines subroutine dopmtr (SIDE, UPLO, TRANS, M, N, AP, TAU, C, LDC, WORK, INFO) DOPMTR Function/Subroutine Documentation subroutine dopmtr (characterSIDE, characterUPLO, characterTRANS, integerM, integerN, double precision, dimension( * )AP, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerINFO) DOPMTR Purpose: DOPMTR overwrites…
NAME dopgtr.f – SYNOPSIS Functions/Subroutines subroutine dopgtr (UPLO, N, AP, TAU, Q, LDQ, WORK, INFO) DOPGTR Function/Subroutine Documentation subroutine dopgtr (characterUPLO, integerN, double precision, dimension( * )AP, double precision, dimension( * )TAU, double precision, dimension( ldq, * )Q, integerLDQ, double precision, dimension( * )WORK, integerINFO) DOPGTR Purpose: DOPGTR generates a real orthogonal matrix Q which…
NAME dnrm2.f – SYNOPSIS Functions/Subroutines DOUBLE PRECISION function dnrm2 (N, X, INCX) DNRM2 Function/Subroutine Documentation DOUBLE PRECISION function dnrm2 (integerN, double precision, dimension(*)X, integerINCX) DNRM2 Purpose: DNRM2 returns the euclidean norm of a vector via the function name, so that DNRM2 := sqrt( x’*x ) Author: Univ. of Tennessee Univ. of California Berkeley Univ….