Section 3: library functions
cgerqf.f – Synopsis Functions/Subroutines subroutine cgerqf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGERQF Function/Subroutine Documentation subroutine 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….
cgerq2.f – Synopsis Functions/Subroutines subroutine cgerq2 (M, N, A, LDA, TAU, WORK, INFO) CGERQ2 computes the RQ factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentation subroutine cgerq2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO) CGERQ2 computes the RQ factorization of a…
cgerfsx.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cgerfsx (characterTRANS, characterEQUED, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( *…
cgerfs.f – Synopsis Functions/Subroutines subroutine cgerfs (TRANS, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO) CGERFS Function/Subroutine Documentation subroutine cgerfs (characterTRANS, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldaf, * )AF, integerLDAF, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, complex, dimension(…
cgerc.f – Synopsis Functions/Subroutines subroutine cgerc (M, N, ALPHA, X, INCX, Y, INCY, A, LDA) CGERC Function/Subroutine Documentation subroutine 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…
cgeqrt3.f – Synopsis Functions/Subroutines recursive 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 Documentation recursive subroutine cgeqrt3 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldt, * )T, integerLDT, integerINFO) CGEQRT3…
cgeqrt2.f – Synopsis Functions/Subroutines subroutine 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 Documentation subroutine cgeqrt2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldt, * )T, integerLDT, integerINFO) CGEQRT2 computes a QR…
cgeqrt.f – Synopsis Functions/Subroutines subroutine cgeqrt (M, N, NB, A, LDA, T, LDT, WORK, INFO) CGEQRT Function/Subroutine Documentation subroutine 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…
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 * R….
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 * R….
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 the…
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 a…
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 replaced…
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 with…
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 * L….
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 a…
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 +…
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) CGEMQRT…
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( B…
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, complex,…