Section 3: library functions
NAME cgeqrfp.f – SYNOPSIS Functions/Subroutines subroutine cgeqrfp (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGEQRFP Function/Subroutine Documentation subroutine 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 *…
NAME cgeqrf.f – SYNOPSIS Functions/Subroutines subroutine cgeqrf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGEQRF Function/Subroutine Documentation subroutine 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 *…
NAME cgeqr2p.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine cgeqr2p (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO) CGEQR2P computes…
NAME cgeqr2.f – SYNOPSIS Functions/Subroutines subroutine cgeqr2 (M, N, A, LDA, TAU, WORK, INFO) CGEQR2 computes the QR factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentation subroutine cgeqr2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO) CGEQR2 computes the QR factorization of…
NAME cgeqpf.f – SYNOPSIS Functions/Subroutines subroutine cgeqpf (M, N, A, LDA, JPVT, TAU, WORK, RWORK, INFO) CGEQPF Function/Subroutine Documentation subroutine 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…
NAME cgeqp3.f – SYNOPSIS Functions/Subroutines subroutine cgeqp3 (M, N, A, LDA, JPVT, TAU, WORK, LWORK, RWORK, INFO) CGEQP3 Function/Subroutine Documentation subroutine 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…
NAME cgeqlf.f – SYNOPSIS Functions/Subroutines subroutine cgeqlf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGEQLF Function/Subroutine Documentation subroutine 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 *…
NAME cgeql2.f – SYNOPSIS Functions/Subroutines subroutine cgeql2 (M, N, A, LDA, TAU, WORK, INFO) CGEQL2 computes the QL factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentation subroutine cgeql2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO) CGEQL2 computes the QL factorization of…
NAME cgemv.f – SYNOPSIS Functions/Subroutines subroutine cgemv (TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) CGEMV Function/Subroutine Documentation subroutine 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…
NAME cgemqrt.f – SYNOPSIS Functions/Subroutines subroutine cgemqrt (SIDE, TRANS, M, N, K, NB, V, LDV, T, LDT, C, LDC, WORK, INFO) CGEMQRT Function/Subroutine Documentation subroutine 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)…
NAME cgemm.f – SYNOPSIS Functions/Subroutines subroutine cgemm (TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC) CGEMM Function/Subroutine Documentation subroutine 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(…
NAME cgelsy.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine cgelsy (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integer, dimension( * )JPVT, realRCOND, integerRANK,…
NAME cgelsx.f – SYNOPSIS Functions/Subroutines subroutine cgelsx (M, N, NRHS, A, LDA, B, LDB, JPVT, RCOND, RANK, WORK, RWORK, INFO) CGELSX solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentation subroutine cgelsx (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integer, dimension( * )JPVT, realRCOND, integerRANK, complex,…
NAME cgelss.f – SYNOPSIS Functions/Subroutines subroutine cgelss (M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, WORK, LWORK, RWORK, INFO) CGELSS solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentation subroutine cgelss (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, real, dimension( * )S, realRCOND, integerRANK,…
NAME cgelsd.f – SYNOPSIS Functions/Subroutines subroutine cgelsd (M, N, NRHS, A, LDA, B, LDB, S, RCOND, RANK, WORK, LWORK, RWORK, IWORK, INFO) CGELSD computes the minimum-norm solution to a linear least squares problem for GE matrices Function/Subroutine Documentation subroutine cgelsd (integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB,…
NAME cgels.f – SYNOPSIS Functions/Subroutines subroutine cgels (TRANS, M, N, NRHS, A, LDA, B, LDB, WORK, LWORK, INFO) CGELS solves overdetermined or underdetermined systems for GE matrices Function/Subroutine Documentation subroutine cgels (characterTRANS, integerM, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( * )WORK, integerLWORK, integerINFO) CGELS solves…
NAME cgelqf.f – SYNOPSIS Functions/Subroutines subroutine cgelqf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGELQF Function/Subroutine Documentation subroutine cgelqf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO) CGELQF Purpose: CGELQF computes an LQ factorization of a complex M-by-N matrix A: A = L *…
NAME cgelq2.f – SYNOPSIS Functions/Subroutines subroutine cgelq2 (M, N, A, LDA, TAU, WORK, INFO) CGELQ2 computes the LQ factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentation subroutine cgelq2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO) CGELQ2 computes the LQ factorization of…
NAME cgehrd.f – SYNOPSIS Functions/Subroutines subroutine cgehrd (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) CGEHRD Function/Subroutine Documentation subroutine cgehrd (integerN, integerILO, integerIHI, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO) CGEHRD Purpose: CGEHRD reduces a complex general matrix A to upper Hessenberg form H by…
NAME cgehd2.f – SYNOPSIS Functions/Subroutines subroutine cgehd2 (N, ILO, IHI, A, LDA, TAU, WORK, INFO) CGEHD2 reduces a general square matrix to upper Hessenberg form using an unblocked algorithm. Function/Subroutine Documentation subroutine cgehd2 (integerN, integerILO, integerIHI, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO) CGEHD2 reduces a general…