Section 3: library functions
cgesvx.f – SynopsisFunctions/Subroutinessubroutine cgesvx (FACT, TRANS, N, NRHS, A, LDA, AF, LDAF, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, RWORK, INFO) CGESVX computes the solution to system of linear equations A * X = B for GE matrices Function/Subroutine Documentationsubroutine cgesvx (characterFACT, characterTRANS, integerN, integerNRHS, complex, dimension( lda, * )A,…
cgesvd.f – SynopsisFunctions/Subroutinessubroutine cgesvd (JOBU, JOBVT, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK, LWORK, RWORK, INFO) CGESVD computes the singular value decomposition (SVD) for GE matrices Function/Subroutine Documentationsubroutine cgesvd (characterJOBU, characterJOBVT, integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, complex, dimension( ldu, * )U, integerLDU, complex, dimension( ldvt,…
cgesv.f – SynopsisFunctions/Subroutinessubroutine cgesv (N, NRHS, A, LDA, IPIV, B, LDB, INFO) CGESV computes the solution to system of linear equations A * X = B for GE matrices (simple driver) Function/Subroutine Documentationsubroutine cgesv (integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, integerINFO) CGESV computes…
cgesdd.f – SynopsisFunctions/Subroutinessubroutine cgesdd (JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK, LWORK, RWORK, IWORK, INFO) CGESDD Function/Subroutine Documentationsubroutine cgesdd (characterJOBZ, integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, complex, dimension( ldu, * )U, integerLDU, complex, dimension( ldvt, * )VT, integerLDVT, complex, dimension( * )WORK, integerLWORK, real, dimension(…
cgesc2.f – SynopsisFunctions/Subroutinessubroutine cgesc2 (N, A, LDA, RHS, IPIV, JPIV, SCALE) CGESC2 solves a system of linear equations using the LU factorization with complete pivoting computed by sgetc2. Function/Subroutine Documentationsubroutine cgesc2 (integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )RHS, integer, dimension( * )IPIV, integer, dimension( * )JPIV, realSCALE)CGESC2 solves a system of…
cgeru.f – SynopsisFunctions/Subroutinessubroutine cgeru (M, N, ALPHA, X, INCX, Y, INCY, A, LDA) CGERU Function/Subroutine Documentationsubroutine cgeru (integerM, integerN, complexALPHA, complex, dimension(*)X, integerINCX, complex, dimension(*)Y, integerINCY, complex, dimension(lda,*)A, integerLDA)CGERU Purpose: CGERU performs the rank 1 operation A := alpha*x*y**T + A, where alpha is a scalar, x is an m element vector, y is an…
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…