Section 3: library functions
dgetf2.f – SynopsisFunctions/Subroutinessubroutine dgetf2 (M, N, A, LDA, IPIV, INFO) DGETF2 computes the LU factorization of a general m-by-n matrix using partial pivoting with row interchanges (unblocked algorithm). Function/Subroutine Documentationsubroutine dgetf2 (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO)DGETF2 computes the LU factorization of a general m-by-n matrix using…
dgetc2.f – SynopsisFunctions/Subroutinessubroutine dgetc2 (N, A, LDA, IPIV, JPIV, INFO) DGETC2 computes the LU factorization with complete pivoting of the general n-by-n matrix. Function/Subroutine Documentationsubroutine dgetc2 (integerN, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integer, dimension( * )JPIV, integerINFO)DGETC2 computes the LU factorization with complete pivoting of the general n-by-n matrix….
dgesvxx.f – SynopsisFunctions/Subroutinessubroutine dgesvxx (FACT, TRANS, N, NRHS, A, LDA, AF, LDAF, 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) DGESVXX computes the solution to system of linear equations A * X = B for GE matrices Function/Subroutine Documentationsubroutine dgesvxx (characterFACT, characterTRANS, integerN, integerNRHS,…
dgesvx.f – SynopsisFunctions/Subroutinessubroutine dgesvx (FACT, TRANS, N, NRHS, A, LDA, AF, LDAF, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) DGESVX computes the solution to system of linear equations A * X = B for GE matrices Function/Subroutine Documentationsubroutine dgesvx (characterFACT, characterTRANS, integerN, integerNRHS, double precision, dimension( lda, *…
dgesvj.f – SynopsisFunctions/Subroutinessubroutine dgesvj (JOBA, JOBU, JOBV, M, N, A, LDA, SVA, MV, V, LDV, WORK, LWORK, INFO) DGESVJ Function/Subroutine Documentationsubroutine dgesvj (character*1JOBA, character*1JOBU, character*1JOBV, integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( n )SVA, integerMV, double precision, dimension( ldv, * )V, integerLDV, double precision, dimension( lwork )WORK, integerLWORK, integerINFO)DGESVJ Purpose:…
dgesvd.f – SynopsisFunctions/Subroutinessubroutine dgesvd (JOBU, JOBVT, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK, LWORK, INFO) DGESVD computes the singular value decomposition (SVD) for GE matrices Function/Subroutine Documentationsubroutine dgesvd (characterJOBU, characterJOBVT, integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )S, double precision, dimension( ldu, * )U, integerLDU, double…
dgesv.f – SynopsisFunctions/Subroutinessubroutine dgesv (N, NRHS, A, LDA, IPIV, B, LDB, INFO) DGESV computes the solution to system of linear equations A * X = B for GE matrices Function/Subroutine Documentationsubroutine dgesv (integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, double precision, dimension( ldb, * )B, integerLDB, integerINFO) DGESV computes…
dgesdd.f – SynopsisFunctions/Subroutinessubroutine dgesdd (JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK, LWORK, IWORK, INFO) DGESDD Function/Subroutine Documentationsubroutine dgesdd (characterJOBZ, integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )S, double precision, dimension( ldu, * )U, integerLDU, double precision, dimension( ldvt, * )VT, integerLDVT, double precision, dimension( *…
dgesc2.f – SynopsisFunctions/Subroutinessubroutine dgesc2 (N, A, LDA, RHS, IPIV, JPIV, SCALE) DGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2. Function/Subroutine Documentationsubroutine dgesc2 (integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )RHS, integer, dimension( * )IPIV, integer, dimension( * )JPIV, double precisionSCALE)DGESC2 solves…
dgerqf.f – SynopsisFunctions/Subroutinessubroutine dgerqf (M, N, A, LDA, TAU, WORK, LWORK, INFO) DGERQF Function/Subroutine Documentationsubroutine dgerqf (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO)DGERQF Purpose: DGERQF computes an RQ factorization of a real M-by-N matrix A: A = R * Q. Parameters:…
dgerq2.f – SynopsisFunctions/Subroutinessubroutine dgerq2 (M, N, A, LDA, TAU, WORK, INFO) DGERQ2 computes the RQ factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentationsubroutine dgerq2 (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerINFO)DGERQ2 computes the RQ factorization of a general…
dgerfsx.f – SynopsisFunctions/Subroutinessubroutine dgerfsx (TRANS, EQUED, N, NRHS, A, LDA, AF, LDAF, IPIV, R, C, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, IWORK, INFO) DGERFSX Function/Subroutine Documentationsubroutine dgerfsx (characterTRANS, characterEQUED, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV,…
dgerfs.f – SynopsisFunctions/Subroutinessubroutine dgerfs (TRANS, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) DGERFS Function/Subroutine Documentationsubroutine dgerfs (characterTRANS, integerN, integerNRHS, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, double precision, dimension( ldb, * )B, integerLDB, double precision,…
dger.f – SynopsisFunctions/Subroutinessubroutine dger (M, N, ALPHA, X, INCX, Y, INCY, A, LDA) DGER Function/Subroutine Documentationsubroutine dger (integerM, integerN, double precisionALPHA, double precision, dimension(*)X, integerINCX, double precision, dimension(*)Y, integerINCY, double precision, dimension(lda,*)A, integerLDA)DGER Purpose: DGER performs the rank 1 operation A := alpha*x*y**T + A, where alpha is a scalar, x is an m element…
dgeqrt3.f – SynopsisFunctions/Subroutinesrecursive subroutine dgeqrt3 (M, N, A, LDA, T, LDT, INFO) DGEQRT3 recursively computes a QR factorization of a general real or complex matrix using the compact WY representation of Q. Function/Subroutine Documentationrecursive subroutine dgeqrt3 (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldt, * )T, integerLDT, integerINFO)DGEQRT3 recursively computes…
dgeqrt2.f – SynopsisFunctions/Subroutinessubroutine dgeqrt2 (M, N, A, LDA, T, LDT, INFO) DGEQRT2 computes a QR factorization of a general real or complex matrix using the compact WY representation of Q. Function/Subroutine Documentationsubroutine dgeqrt2 (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldt, * )T, integerLDT, integerINFO)DGEQRT2 computes a QR factorization of…
dgeqrt.f – SynopsisFunctions/Subroutinessubroutine dgeqrt (M, N, NB, A, LDA, T, LDT, WORK, INFO) DGEQRT Function/Subroutine Documentationsubroutine dgeqrt (integerM, integerN, integerNB, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( ldt, * )T, integerLDT, double precision, dimension( * )WORK, integerINFO)DGEQRT Purpose: DGEQRT computes a blocked QR factorization of a real M-by-N matrix A using the…
dgeqrfp.f – SynopsisFunctions/Subroutinessubroutine dgeqrfp (M, N, A, LDA, TAU, WORK, LWORK, INFO) DGEQRFP Function/Subroutine Documentationsubroutine dgeqrfp (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO)DGEQRFP Purpose: DGEQRFP computes a QR factorization of a real M-by-N matrix A: A = Q * R. Parameters:…
dgeqrf.f – SynopsisFunctions/Subroutinessubroutine dgeqrf (M, N, A, LDA, TAU, WORK, LWORK, INFO) DGEQRF Function/Subroutine Documentationsubroutine dgeqrf (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO)DGEQRF Purpose: DGEQRF computes a QR factorization of a real M-by-N matrix A: A = Q * R. Parameters:…
dgeqr2p.f – SynopsisFunctions/Subroutinessubroutine dgeqr2p (M, N, A, LDA, TAU, WORK, INFO) DGEQR2P computes the QR factorization of a general rectangular matrix with non-negative diagonal elements using an unblocked algorithm. Function/Subroutine Documentationsubroutine dgeqr2p (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerINFO)DGEQR2P computes the QR…