Section 3: library functions
dpbsv.f – SynopsisFunctions/Subroutinessubroutine dpbsv (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO) DPBSV computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentationsubroutine dpbsv (characterUPLO, integerN, integerKD, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldb, * )B, integerLDB, integerINFO) DPBSV computes the…
dpbstf.f – SynopsisFunctions/Subroutinessubroutine dpbstf (UPLO, N, KD, AB, LDAB, INFO) DPBSTF Function/Subroutine Documentationsubroutine dpbstf (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, integerINFO)DPBSTF Purpose: DPBSTF computes a split Cholesky factorization of a real symmetric positive definite band matrix A. This routine is designed to be used in conjunction with DSBGST. The factorization has…
dpbrfs.f – SynopsisFunctions/Subroutinessubroutine dpbrfs (UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) DPBRFS Function/Subroutine Documentationsubroutine dpbrfs (characterUPLO, integerN, integerKD, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldafb, * )AFB, integerLDAFB, double precision, dimension( ldb, * )B, integerLDB, double precision, dimension( ldx, *…
dpbequ.f – SynopsisFunctions/Subroutinessubroutine dpbequ (UPLO, N, KD, AB, LDAB, S, SCOND, AMAX, INFO) DPBEQU Function/Subroutine Documentationsubroutine dpbequ (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )S, double precisionSCOND, double precisionAMAX, integerINFO)DPBEQU Purpose: DPBEQU computes row and column scalings intended to equilibrate a symmetric positive definite band matrix A and…
dpbcon.f – SynopsisFunctions/Subroutinessubroutine dpbcon (UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK, IWORK, INFO) DPBCON Function/Subroutine Documentationsubroutine dpbcon (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, double precisionANORM, double precisionRCOND, double precision, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO)DPBCON Purpose: DPBCON estimates the reciprocal of the condition number (in the 1-norm) of…
dormtr.f – SynopsisFunctions/Subroutinessubroutine dormtr (SIDE, UPLO, TRANS, M, N, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMTR Function/Subroutine Documentationsubroutine dormtr (characterSIDE, characterUPLO, characterTRANS, integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerLWORK, integerINFO)DORMTR Purpose: DORMTR overwrites…
dormrz.f – SynopsisFunctions/Subroutinessubroutine dormrz (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMRZ Function/Subroutine Documentationsubroutine dormrz (characterSIDE, characterTRANS, integerM, integerN, integerK, integerL, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerLWORK, integerINFO)DORMRZ Purpose:…
dormrq.f – SynopsisFunctions/Subroutinessubroutine dormrq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMRQ Function/Subroutine Documentationsubroutine dormrq (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerLWORK, integerINFO)DORMRQ Purpose: DORMRQ overwrites…
dormr3.f – SynopsisFunctions/Subroutinessubroutine dormr3 (SIDE, TRANS, M, N, K, L, A, LDA, TAU, C, LDC, WORK, INFO) DORMR3 multiplies a general matrix by the orthogonal matrix from a RZ factorization determined by stzrzf (unblocked algorithm). Function/Subroutine Documentationsubroutine dormr3 (characterSIDE, characterTRANS, integerM, integerN, integerK, integerL, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( *…
dormr2.f – SynopsisFunctions/Subroutinessubroutine dormr2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) DORMR2 multiplies a general matrix by the orthogonal matrix from a RQ factorization determined by sgerqf (unblocked algorithm). Function/Subroutine Documentationsubroutine dormr2 (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double…
dormqr.f – SynopsisFunctions/Subroutinessubroutine dormqr (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMQR Function/Subroutine Documentationsubroutine dormqr (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerLWORK, integerINFO)DORMQR Purpose: DORMQR overwrites…
dormql.f – SynopsisFunctions/Subroutinessubroutine dormql (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMQL Function/Subroutine Documentationsubroutine dormql (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerLWORK, integerINFO)DORMQL Purpose: DORMQL overwrites…
dormlq.f – SynopsisFunctions/Subroutinessubroutine dormlq (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMLQ Function/Subroutine Documentationsubroutine dormlq (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension( * )WORK, integerLWORK, integerINFO)DORMLQ Purpose: DORMLQ overwrites…
dorml2.f – SynopsisFunctions/Subroutinessubroutine dorml2 (SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, INFO) DORML2 multiplies a general matrix by the orthogonal matrix from a LQ factorization determined by sgelqf (unblocked algorithm). Function/Subroutine Documentationsubroutine dorml2 (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double…
dormhr.f – SynopsisFunctions/Subroutinessubroutine dormhr (SIDE, TRANS, M, N, ILO, IHI, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMHR Function/Subroutine Documentationsubroutine 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( * )WORK, integerLWORK, integerINFO)DORMHR Purpose:…
dormbr.f – SynopsisFunctions/Subroutinessubroutine dormbr (VECT, SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, WORK, LWORK, INFO) DORMBR Function/Subroutine Documentationsubroutine 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( * )WORK, integerLWORK, integerINFO)DORMBR Purpose:…
dorm2r.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dorm2r (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double…
dorm2l.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine dorm2l (characterSIDE, characterTRANS, integerM, integerN, integerK, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double…
dorgtr.f – SynopsisFunctions/Subroutinessubroutine dorgtr (UPLO, N, A, LDA, TAU, WORK, LWORK, INFO) DORGTR Function/Subroutine Documentationsubroutine 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 product of n-1 elementary reflectors…
dorgrq.f – SynopsisFunctions/Subroutinessubroutine dorgrq (M, N, K, A, LDA, TAU, WORK, LWORK, INFO) DORGRQ Function/Subroutine Documentationsubroutine 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, which is defined as the…