Section 3: library functions
cgetri.f – SynopsisFunctions/Subroutinessubroutine cgetri (N, A, LDA, IPIV, WORK, LWORK, INFO) CGETRI Function/Subroutine Documentationsubroutine 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 U and then computes inv(A)…
cgetrf.f – SynopsisFunctions/Subroutinessubroutine cgetrf (M, N, A, LDA, IPIV, INFO) CGETRF Function/Subroutine Documentationsubroutine 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 A = P * L…
cgetf2.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cgetf2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integerINFO)CGETF2 computes the LU factorization of a general m-by-n matrix using partial…
cgetc2.f – SynopsisFunctions/Subroutinessubroutine cgetc2 (N, A, LDA, IPIV, JPIV, INFO) CGETC2 computes the LU factorization with complete pivoting of the general n-by-n matrix. Function/Subroutine Documentationsubroutine cgetc2 (integerN, complex, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, integer, dimension( * )JPIV, integerINFO)CGETC2 computes the LU factorization with complete pivoting of the general n-by-n matrix. Purpose:…
cgesvxx.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cgesvxx (characterFACT, characterTRANS, integerN, integerNRHS,…
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…