Section 3: library functions
cgerqf.f – SynopsisFunctions/Subroutinessubroutine cgerqf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGERQF Function/Subroutine Documentationsubroutine cgerqf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CGERQF Purpose: CGERQF computes an RQ factorization of a complex M-by-N matrix A: A = R * Q. Parameters: M M is…
cgerq2.f – SynopsisFunctions/Subroutinessubroutine cgerq2 (M, N, A, LDA, TAU, WORK, INFO) CGERQ2 computes the RQ factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentationsubroutine cgerq2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CGERQ2 computes the RQ factorization of a general rectangular matrix using…
cgerfsx.f – SynopsisFunctions/Subroutinessubroutine cgerfsx (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, RWORK, INFO) CGERFSX Function/Subroutine Documentationsubroutine cgerfsx (characterTRANS, characterEQUED, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, real, dimension(…
cgerfs.f – SynopsisFunctions/Subroutinessubroutine cgerfs (TRANS, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CGERFS Function/Subroutine Documentationsubroutine cgerfs (characterTRANS, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldx, * )X,…
cgerc.f – SynopsisFunctions/Subroutinessubroutine cgerc (M, N, ALPHA, X, INCX, Y, INCY, A, LDA) CGERC Function/Subroutine Documentationsubroutine cgerc (integerM, integerN, complexALPHA, complex, dimension(*)X, integerINCX, complex, dimension(*)Y, integerINCY, complex, dimension(lda,*)A, integerLDA)CGERC Purpose: CGERC performs the rank 1 operation A := alpha*x*y**H + A, where alpha is a scalar, x is an m element vector, y is an…
cgeqrt3.f – SynopsisFunctions/Subroutinesrecursive subroutine cgeqrt3 (M, N, A, LDA, T, LDT, INFO) CGEQRT3 recursively computes a QR factorization of a general real or complex matrix using the compact WY representation of Q. Function/Subroutine Documentationrecursive subroutine cgeqrt3 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldt, * )T, integerLDT, integerINFO)CGEQRT3 recursively computes a QR…
cgeqrt2.f – SynopsisFunctions/Subroutinessubroutine cgeqrt2 (M, N, A, LDA, T, LDT, INFO) CGEQRT2 computes a QR factorization of a general real or complex matrix using the compact WY representation of Q. Function/Subroutine Documentationsubroutine cgeqrt2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldt, * )T, integerLDT, integerINFO)CGEQRT2 computes a QR factorization of a general…
cgeqrt.f – SynopsisFunctions/Subroutinessubroutine cgeqrt (M, N, NB, A, LDA, T, LDT, WORK, INFO) CGEQRT Function/Subroutine Documentationsubroutine cgeqrt (integerM, integerN, integerNB, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldt, * )T, integerLDT, complex, dimension( * )WORK, integerINFO)CGEQRT Purpose: CGEQRT computes a blocked QR factorization of a complex M-by-N matrix A using the compact WY representation…
cgeqrfp.f – SynopsisFunctions/Subroutinessubroutine cgeqrfp (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGEQRFP Function/Subroutine Documentationsubroutine cgeqrfp (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CGEQRFP Purpose: CGEQRFP computes a QR factorization of a complex M-by-N matrix A: A = Q * R. Parameters: M M is…
cgeqrf.f – SynopsisFunctions/Subroutinessubroutine cgeqrf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGEQRF Function/Subroutine Documentationsubroutine cgeqrf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CGEQRF Purpose: CGEQRF computes a QR factorization of a complex M-by-N matrix A: A = Q * R. Parameters: M M is…
cgeqr2p.f – SynopsisFunctions/Subroutinessubroutine cgeqr2p (M, N, A, LDA, TAU, WORK, INFO) CGEQR2P computes the QR factorization of a general rectangular matrix with non-negative diagonal elements using an unblocked algorithm. Function/Subroutine Documentationsubroutine cgeqr2p (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CGEQR2P computes the QR factorization of a…
cgeqr2.f – SynopsisFunctions/Subroutinessubroutine cgeqr2 (M, N, A, LDA, TAU, WORK, INFO) CGEQR2 computes the QR factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentationsubroutine cgeqr2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CGEQR2 computes the QR factorization of a general rectangular matrix using…
cgeqpf.f – SynopsisFunctions/Subroutinessubroutine cgeqpf (M, N, A, LDA, JPVT, TAU, WORK, RWORK, INFO) CGEQPF Function/Subroutine Documentationsubroutine cgeqpf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, complex, dimension( * )TAU, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO)CGEQPF Purpose: This routine is deprecated and has been replaced by routine CGEQP3. CGEQPF…
cgeqp3.f – SynopsisFunctions/Subroutinessubroutine cgeqp3 (M, N, A, LDA, JPVT, TAU, WORK, LWORK, RWORK, INFO) CGEQP3 Function/Subroutine Documentationsubroutine cgeqp3 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )JPVT, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, real, dimension( * )RWORK, integerINFO)CGEQP3 Purpose: CGEQP3 computes a QR factorization with column pivoting of a…
cgeqlf.f – SynopsisFunctions/Subroutinessubroutine cgeqlf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGEQLF Function/Subroutine Documentationsubroutine cgeqlf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CGEQLF Purpose: CGEQLF computes a QL factorization of a complex M-by-N matrix A: A = Q * L. Parameters: M M is…
cgeql2.f – SynopsisFunctions/Subroutinessubroutine cgeql2 (M, N, A, LDA, TAU, WORK, INFO) CGEQL2 computes the QL factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentationsubroutine cgeql2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CGEQL2 computes the QL factorization of a general rectangular matrix using…
cgemv.f – SynopsisFunctions/Subroutinessubroutine cgemv (TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CGEMV Function/Subroutine Documentationsubroutine cgemv (characterTRANS, integerM, integerN, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(*)X, integerINCX, complexBETA, complex, dimension(*)Y, integerINCY)CGEMV Purpose: CGEMV performs one of the matrix-vector operations y := alpha*A*x + beta*y, or y := alpha*A**T*x + beta*y, or y :=…
cgemqrt.f – SynopsisFunctions/Subroutinessubroutine cgemqrt (SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C, LDC, WORK, INFO) CGEMQRT Function/Subroutine Documentationsubroutine cgemqrt (characterSIDE, characterTRANS, integerM, integerN, integerK, integerNB, complex, dimension( ldv, * )V, integerLDV, complex, dimension( ldt, * )T, integerLDT, complex, dimension( ldc, * )C, integerLDC, complex, dimension( * )WORK, integerINFO)CGEMQRT Purpose: CGEMQRT overwrites the…
cgemm.f – SynopsisFunctions/Subroutinessubroutine cgemm (TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CGEMM Function/Subroutine Documentationsubroutine cgemm (characterTRANSA, characterTRANSB, integerM, integerN, integerK, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB, complexBETA, complex, dimension(ldc,*)C, integerLDC)CGEMM Purpose: CGEMM performs one of the matrix-matrix operations C := alpha*op( A )*op( B ) + beta*C, where…
cgelsy.f – SynopsisFunctions/Subroutinessubroutine cgelsy (M, N, NRHS, A, LDA, B, LDB, JPVT, RCOND, RANK, WORK, LWORK, RWORK, INFO) CGELSY solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentationsubroutine cgelsy (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integer, dimension( * )JPVT, realRCOND, integerRANK, complex, dimension( * )WORK,…