Section 3: library functions
NAME cgetrs.f – SYNOPSIS Functions/Subroutines subroutine cgetrs (TRANS, N, NRHS, A, LDA, IPIV, B, LDB, INFO) CGETRS Function/Subroutine Documentation subroutine cgetrs (characterTRANS, integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, integerINFO) CGETRS Purpose: CGETRS solves a system of linear equations A * X = B,…
NAME cgetri.f – SYNOPSIS Functions/Subroutines subroutine cgetri (N, A, LDA, IPIV, WORK, LWORK, INFO) CGETRI Function/Subroutine Documentation subroutine cgetri (integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( * )WORK, integerLWORK, integerINFO) CGETRI Purpose: CGETRI computes the inverse of a matrix using the LU factorization computed by CGETRF. This method inverts…
NAME cgetrf.f – SYNOPSIS Functions/Subroutines subroutine cgetrf (M, N, A, LDA, IPIV, INFO) CGETRF Function/Subroutine Documentation subroutine cgetrf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO) CGETRF Purpose: CGETRF computes an LU factorization of a general M-by-N matrix A using partial pivoting with row interchanges. The factorization has the form…
NAME cgetf2.f – SYNOPSIS Functions/Subroutines subroutine cgetf2 (M, N, A, LDA, IPIV, INFO) CGETF2 computes the LU factorization of a general m-by-n matrix using partial pivoting with row interchanges (unblocked algorithm). Function/Subroutine Documentation subroutine cgetf2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO) CGETF2 computes the LU factorization of a…
NAME cgetc2.f – SYNOPSIS Functions/Subroutines subroutine cgetc2 (N, A, LDA, IPIV, JPIV, INFO) CGETC2 computes the LU factorization with complete pivoting of the general n-by-n matrix. Function/Subroutine Documentation subroutine cgetc2 (integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integer, dimension( * )JPIV, integerINFO) CGETC2 computes the LU factorization with complete pivoting of…
NAME cgesvxx.f – SYNOPSIS Functions/Subroutines subroutine cgesvxx (FACT, TRANS, N, NRHS, A, LDA, AF, LDAF, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, RPVGRW, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, RWORK, INFO) CGESVXX computes the solution to system of linear equations A * X = B for GE matrices Function/Subroutine Documentation subroutine cgesvxx…
NAME cgesvx.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine cgesvx (characterFACT, characterTRANS, integerN, integerNRHS, complex,…
NAME cgesvd.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine cgesvd (characterJOBU, characterJOBVT, integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, complex, dimension( ldu, * )U,…
NAME cgesv.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine cgesv (integerN, integerNRHS, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, complex, dimension( ldb, * )B,…
NAME cgesdd.f – SYNOPSIS Functions/Subroutines subroutine cgesdd (JOBZ, M, N, A, LDA, S, U, LDU, VT, LDVT, WORK, LWORK, RWORK, IWORK, INFO) CGESDD Function/Subroutine Documentation subroutine cgesdd (characterJOBZ, integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )S, complex, dimension( ldu, * )U, integerLDU, complex, dimension( ldvt, * )VT, integerLDVT, complex, dimension( *…
NAME cgesc2.f – SYNOPSIS Functions/Subroutines subroutine 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 Documentation subroutine cgesc2 (integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )RHS, integer, dimension( * )IPIV, integer, dimension( * )JPIV, realSCALE)…
NAME cgeru.f – SYNOPSIS Functions/Subroutines subroutine cgeru (M, N, ALPHA, X, INCX, Y, INCY, A, LDA) CGERU Function/Subroutine Documentation subroutine 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…
NAME 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 *…
NAME 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…
NAME 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(…
NAME 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,…
NAME 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…
NAME 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)…
NAME 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…
NAME 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…