Section 3: library functions
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…
dgeqr2.f – SynopsisFunctions/Subroutinessubroutine dgeqr2 (M, N, A, LDA, TAU, WORK, INFO) DGEQR2 computes the QR factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentationsubroutine dgeqr2 (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerINFO)DGEQR2 computes the QR factorization of a general…
dgeqpf.f – SynopsisFunctions/Subroutinessubroutine dgeqpf (M, N, A, LDA, JPVT, TAU, WORK, INFO) DGEQPF Function/Subroutine Documentationsubroutine dgeqpf (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerINFO)DGEQPF Purpose: This routine is deprecated and has been replaced by routine DGEQP3. DGEQPF computes a…
dgeqp3.f – SynopsisFunctions/Subroutinessubroutine dgeqp3 (M, N, A, LDA, JPVT, TAU, WORK, LWORK, INFO) DGEQP3 Function/Subroutine Documentationsubroutine dgeqp3 (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, double precision, dimension( * )TAU, double precision, dimension( * )WORK, integerLWORK, integerINFO)DGEQP3 Purpose: DGEQP3 computes a QR factorization with column pivoting of a matrix A:…
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(…