Section 3: library functions
cgghrd.f – Synopsis Functions/Subroutines subroutine cgghrd (COMPQ, COMPZ, N, ILO, IHI, A, LDA, B, LDB, Q, LDQ, Z, LDZ, INFO) CGGHRD Function/Subroutine Documentation subroutine cgghrd (characterCOMPQ, characterCOMPZ, integerN, integerILO, integerIHI, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( ldq, * )Q, integerLDQ, complex, dimension( ldz, * )Z, integerLDZ, integerINFO)…
cggglm.f – Synopsis Functions/Subroutines subroutine cggglm (N, M, P, A, LDA, B, LDB, D, X, Y, WORK, LWORK, INFO) CGGEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine cggglm (integerN, integerM, integerP, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension( *…
cggevx.f – Synopsis Functions/Subroutines subroutine cggevx (BALANC, JOBVL, JOBVR, SENSE, N, A, LDA, B, LDB, ALPHA, BETA, VL, LDVL, VR, LDVR, ILO, IHI, LSCALE, RSCALE, ABNRM, BBNRM, RCONDE, RCONDV, WORK, LWORK, RWORK, IWORK, BWORK, INFO) CGGEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine cggevx (characterBALANC, characterJOBVL,…
cggev.f – Synopsis Functions/Subroutines subroutine cggev (JOBVL, JOBVR, N, A, LDA, B, LDB, ALPHA, BETA, VL, LDVL, VR, LDVR, WORK, LWORK, RWORK, INFO) CGGEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine cggev (characterJOBVL, characterJOBVR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B,…
cggesx.f – Synopsis Functions/Subroutines subroutine cggesx (JOBVSL, JOBVSR, SORT, SELCTG, SENSE, N, A, LDA, B, LDB, SDIM, ALPHA, BETA, VSL, LDVSL, VSR, LDVSR, RCONDE, RCONDV, WORK, LWORK, RWORK, IWORK, LIWORK, BWORK, INFO) CGGESX computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine cggesx (characterJOBVSL, characterJOBVSR,…
cgges.f – Synopsis Functions/Subroutines subroutine cgges (JOBVSL, JOBVSR, SORT, SELCTG, N, A, LDA, B, LDB, SDIM, ALPHA, BETA, VSL, LDVSL, VSR, LDVSR, WORK, LWORK, RWORK, BWORK, INFO) CGGES computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine cgges (characterJOBVSL, characterJOBVSR, characterSORT, logical, externalSELCTG, integerN, complex,…
cggbal.f – Synopsis Functions/Subroutines subroutine cggbal (JOB, N, A, LDA, B, LDB, ILO, IHI, LSCALE, RSCALE, WORK, INFO) CGGBAL Function/Subroutine Documentation subroutine cggbal (characterJOB, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, integerILO, integerIHI, real, dimension( * )LSCALE, real, dimension( * )RSCALE, real, dimension( * )WORK, integerINFO) CGGBAL Purpose: CGGBAL…
cggbak.f – Synopsis Functions/Subroutines subroutine cggbak (JOB, SIDE, N, ILO, IHI, LSCALE, RSCALE, M, V, LDV, INFO) CGGBAK Function/Subroutine Documentation subroutine cggbak (characterJOB, characterSIDE, integerN, integerILO, integerIHI, real, dimension( * )LSCALE, real, dimension( * )RSCALE, integerM, complex, dimension( ldv, * )V, integerLDV, integerINFO) CGGBAK Purpose: CGGBAK forms the right or left eigenvectors of a complex…
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, A**T…
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 U…
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 A…
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 general…
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 the…
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 (characterFACT,…
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, dimension(…
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, integerLDU,…
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, integerLDB,…
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( * )WORK,…
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) CGESC2…
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 element…