Section 3: library functions
dpftri.f – SynopsisFunctions/Subroutinessubroutine dpftri (TRANSR, UPLO, N, A, INFO) DPFTRI Function/Subroutine Documentationsubroutine dpftri (characterTRANSR, characterUPLO, integerN, double precision, dimension( 0: * )A, integerINFO)DPFTRI Purpose: DPFTRI computes the inverse of a (real) symmetric positive definite matrix A using the Cholesky factorization A = U**T*U or A = L*L**T computed by DPFTRF. Parameters: TRANSR TRANSR is CHARACTER*1…
dpftrf.f – SynopsisFunctions/Subroutinessubroutine dpftrf (TRANSR, UPLO, N, A, INFO) DPFTRF Function/Subroutine Documentationsubroutine dpftrf (characterTRANSR, characterUPLO, integerN, double precision, dimension( 0: * )A, integerINFO)DPFTRF Purpose: DPFTRF computes the Cholesky factorization of a real symmetric positive definite matrix A. The factorization has the form A = U**T * U, if UPLO = ‘U’, or A = L…
dpbtrs.f – SynopsisFunctions/Subroutinessubroutine dpbtrs (UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO) DPBTRS Function/Subroutine Documentationsubroutine dpbtrs (characterUPLO, integerN, integerKD, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldb, * )B, integerLDB, integerINFO)DPBTRS Purpose: DPBTRS solves a system of linear equations A*X = B with a symmetric positive definite band matrix A…
dpbtrf.f – SynopsisFunctions/Subroutinessubroutine dpbtrf (UPLO, N, KD, AB, LDAB, INFO) DPBTRF Function/Subroutine Documentationsubroutine dpbtrf (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, integerINFO)DPBTRF Purpose: DPBTRF computes the Cholesky factorization of a real symmetric positive definite band matrix A. The factorization has the form A = U**T * U, if UPLO = ‘U’, or…
dpbtf2.f – SynopsisFunctions/Subroutinessubroutine dpbtf2 (UPLO, N, KD, AB, LDAB, INFO) DPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (unblocked algorithm). Function/Subroutine Documentationsubroutine dpbtf2 (characterUPLO, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, integerINFO)DPBTF2 computes the Cholesky factorization of a symmetric/Hermitian positive definite band matrix (unblocked algorithm). Purpose: DPBTF2 computes the…
dpbsvx.f – SynopsisFunctions/Subroutinessubroutine dpbsvx (FACT, UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, EQUED, S, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) DPBSVX computes the solution to system of linear equations A * X = B for OTHER matrices Function/Subroutine Documentationsubroutine dpbsvx (characterFACT, characterUPLO, integerN, integerKD, integerNRHS, double precision, dimension( ldab, *…
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…