Section 3: library functions
NAME cgegv.f – SYNOPSIS Functions/Subroutines subroutine cgegv (JOBVL, JOBVR, N, A, LDA, B, LDB, ALPHA, BETA, VL, LDVL, VR, LDVR, WORK, LWORK, RWORK, INFO) CGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine cgegv (characterJOBVL, characterJOBVR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, *…
NAME cgegs.f – SYNOPSIS Functions/Subroutines subroutine cgegs (JOBVSL, JOBVSR, N, A, LDA, B, LDB, ALPHA, BETA, VSL, LDVSL, VSR, LDVSR, WORK, LWORK, RWORK, INFO) CGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine cgegs (characterJOBVSL, characterJOBVSR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, *…
NAME cgeevx.f – SYNOPSIS Functions/Subroutines subroutine cgeevx (BALANC, JOBVL, JOBVR, SENSE, N, A, LDA, W, VL, LDVL, VR, LDVR, ILO, IHI, SCALE, ABNRM, RCONDE, RCONDV, WORK, LWORK, RWORK, INFO) CGEEVX computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine cgeevx (characterBALANC, characterJOBVL, characterJOBVR, characterSENSE, integerN, complex, dimension( lda,…
NAME cgeev.f – SYNOPSIS Functions/Subroutines subroutine cgeev (JOBVL, JOBVR, N, A, LDA, W, VL, LDVL, VR, LDVR, WORK, LWORK, RWORK, INFO) CGEEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for GE matrices Function/Subroutine Documentation subroutine cgeev (characterJOBVL, characterJOBVR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )W, complex, dimension( ldvl,…
NAME cgeesx.f – SYNOPSIS Functions/Subroutines subroutine cgeesx (JOBVS, SORT, SELECT, SENSE, N, A, LDA, SDIM, W, VS, LDVS, RCONDE, RCONDV, WORK, LWORK, RWORK, BWORK, INFO) CGEESX computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine cgeesx (characterJOBVS, characterSORT, logical, externalSELECT, characterSENSE, integerN, complex, dimension( lda,…
NAME cgees.f – SYNOPSIS Functions/Subroutines subroutine cgees (JOBVS, SORT, SELECT, N, A, LDA, SDIM, W, VS, LDVS, WORK, LWORK, RWORK, BWORK, INFO) CGEES computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentation subroutine cgees (characterJOBVS, characterSORT, logical, externalSELECT, integerN, complex, dimension( lda, * )A, integerLDA, integerSDIM,…
NAME cgeequb.f – SYNOPSIS Functions/Subroutines subroutine cgeequb (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) CGEEQUB Function/Subroutine Documentation subroutine cgeequb (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, integerINFO) CGEEQUB Purpose: CGEEQUB computes row and column scalings intended to equilibrate an M-by-N…
NAME cgeequ.f – SYNOPSIS Functions/Subroutines subroutine cgeequ (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) CGEEQU Function/Subroutine Documentation subroutine cgeequ (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )R, real, dimension( * )C, realROWCND, realCOLCND, realAMAX, integerINFO) CGEEQU Purpose: CGEEQU computes row and column scalings intended to equilibrate an M-by-N…
NAME cgecon.f – SYNOPSIS Functions/Subroutines subroutine cgecon (NORM, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO) CGECON Function/Subroutine Documentation subroutine cgecon (characterNORM, integerN, complex, dimension( lda, * )A, integerLDA, realANORM, realRCOND, complex, dimension( * )WORK, real, dimension( * )RWORK, integerINFO) CGECON Purpose: CGECON estimates the reciprocal of the condition number of a general complex matrix…
NAME cgebrd.f – SYNOPSIS Functions/Subroutines subroutine cgebrd (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK, INFO) CGEBRD Function/Subroutine Documentation subroutine cgebrd (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, complex, dimension( * )TAUQ, complex, dimension( * )TAUP, complex, dimension( * )WORK, integerLWORK, integerINFO) CGEBRD Purpose:…
NAME cgebd2.f – SYNOPSIS Functions/Subroutines subroutine cgebd2 (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO) CGEBD2 reduces a general matrix to bidiagonal form using an unblocked algorithm. Function/Subroutine Documentation subroutine cgebd2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, complex, dimension( * )TAUQ, complex, dimension(…
NAME cgebal.f – SYNOPSIS Functions/Subroutines subroutine cgebal (JOB, N, A, LDA, ILO, IHI, SCALE, INFO) CGEBAL Function/Subroutine Documentation subroutine cgebal (characterJOB, integerN, complex, dimension( lda, * )A, integerLDA, integerILO, integerIHI, real, dimension( * )SCALE, integerINFO) CGEBAL Purpose: CGEBAL balances a general complex matrix A. This involves, first, permuting A by a similarity transformation to isolate…
NAME cgebak.f – SYNOPSIS Functions/Subroutines subroutine cgebak (JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO) CGEBAK Function/Subroutine Documentation subroutine cgebak (characterJOB, characterSIDE, integerN, integerILO, integerIHI, real, dimension( * )SCALE, integerM, complex, dimension( ldv, * )V, integerLDV, integerINFO) CGEBAK Purpose: CGEBAK forms the right or left eigenvectors of a complex general matrix by backward…
NAME cgbtrs.f – SYNOPSIS Functions/Subroutines subroutine cgbtrs (TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) CGBTRS Function/Subroutine Documentation subroutine cgbtrs (characterTRANS, integerN, integerKL, integerKU, integerNRHS, complex, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, complex, dimension( ldb, * )B, integerLDB, integerINFO) CGBTRS Purpose: CGBTRS solves a system of linear equations A…
NAME cgbtrf.f – SYNOPSIS Functions/Subroutines subroutine cgbtrf (M, N, KL, KU, AB, LDAB, IPIV, INFO) CGBTRF Function/Subroutine Documentation subroutine cgbtrf (integerM, integerN, integerKL, integerKU, complex, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, integerINFO) CGBTRF Purpose: CGBTRF computes an LU factorization of a complex m-by-n band matrix A using partial pivoting with row interchanges….
NAME cgbtf2.f – SYNOPSIS Functions/Subroutines subroutine cgbtf2 (M, N, KL, KU, AB, LDAB, IPIV, INFO) CGBTF2 computes the LU factorization of a general band matrix using the unblocked version of the algorithm. Function/Subroutine Documentation subroutine cgbtf2 (integerM, integerN, integerKL, integerKU, complex, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, integerINFO) CGBTF2 computes the LU…
NAME cgbsvxx.f – SYNOPSIS Functions/Subroutines subroutine cgbsvxx (FACT, TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, 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) CGBSVXX computes the solution to system of linear equations A * X = B for GB matrices Function/Subroutine Documentation…
NAME cgbsvx.f – SYNOPSIS Functions/Subroutines subroutine cgbsvx (FACT, TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, RWORK, INFO) CGBSVX computes the solution to system of linear equations A * X = B for GB matrices Function/Subroutine Documentation subroutine cgbsvx (characterFACT, characterTRANS, integerN,…
NAME cgbsv.f – SYNOPSIS Functions/Subroutines subroutine cgbsv (N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) CGBSV computes the solution to system of linear equations A * X = B for GB matrices (simple driver) Function/Subroutine Documentation subroutine cgbsv (integerN, integerKL, integerKU, integerNRHS, complex, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, complex,…
NAME cgbrfsx.f – SYNOPSIS Functions/Subroutines subroutine cgbrfsx (TRANS, EQUED, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, R, C, B, LDB, X, LDX, RCOND, BERR, N_ERR_BNDS, ERR_BNDS_NORM, ERR_BNDS_COMP, NPARAMS, PARAMS, WORK, RWORK, INFO) CGBRFSX Function/Subroutine Documentation subroutine cgbrfsx (characterTRANS, characterEQUED, integerN, integerKL, integerKU, integerNRHS, complex, dimension( ldab, * )AB, integerLDAB, complex, dimension( ldafb, *…