Section 3: library functions
cgelqf.f – SynopsisFunctions/Subroutinessubroutine cgelqf (M, N, A, LDA, TAU, WORK, LWORK, INFO) CGELQF Function/Subroutine Documentationsubroutine cgelqf (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CGELQF Purpose: CGELQF computes an LQ factorization of a complex M-by-N matrix A: A = L * Q. Parameters: M M is…
cgelq2.f – SynopsisFunctions/Subroutinessubroutine cgelq2 (M, N, A, LDA, TAU, WORK, INFO) CGELQ2 computes the LQ factorization of a general rectangular matrix using an unblocked algorithm. Function/Subroutine Documentationsubroutine cgelq2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CGELQ2 computes the LQ factorization of a general rectangular matrix using…
cgehrd.f – SynopsisFunctions/Subroutinessubroutine cgehrd (N, ILO, IHI, A, LDA, TAU, WORK, LWORK, INFO) CGEHRD Function/Subroutine Documentationsubroutine cgehrd (integerN, integerILO, integerIHI, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerLWORK, integerINFO)CGEHRD Purpose: CGEHRD reduces a complex general matrix A to upper Hessenberg form H by an unitary similarity transformation: Q**H…
cgehd2.f – SynopsisFunctions/Subroutinessubroutine cgehd2 (N, ILO, IHI, A, LDA, TAU, WORK, INFO) CGEHD2 reduces a general square matrix to upper Hessenberg form using an unblocked algorithm. Function/Subroutine Documentationsubroutine cgehd2 (integerN, integerILO, integerIHI, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )TAU, complex, dimension( * )WORK, integerINFO)CGEHD2 reduces a general square matrix to upper Hessenberg…
cgegv.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cgegv (characterJOBVL, characterJOBVR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension(…
cgegs.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cgegs (characterJOBVSL, characterJOBVSR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( ldb, * )B, integerLDB, complex, dimension(…
cgeevx.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cgeevx (characterBALANC, characterJOBVL, characterJOBVR, characterSENSE, integerN, complex, dimension( lda, * )A, integerLDA, complex,…
cgeev.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cgeev (characterJOBVL, characterJOBVR, integerN, complex, dimension( lda, * )A, integerLDA, complex, dimension( * )W, complex, dimension( ldvl, * )VL, integerLDVL, complex,…
cgeesx.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cgeesx (characterJOBVS, characterSORT, logical, externalSELECT, characterSENSE, integerN, complex, dimension( lda, * )A, integerLDA, integerSDIM,…
cgees.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cgees (characterJOBVS, characterSORT, logical, externalSELECT, integerN, complex, dimension( lda, * )A, integerLDA, integerSDIM, complex, dimension( * )W,…
cgeequb.f – SynopsisFunctions/Subroutinessubroutine cgeequb (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) CGEEQUB Function/Subroutine Documentationsubroutine 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 matrix A and reduce its…
cgeequ.f – SynopsisFunctions/Subroutinessubroutine cgeequ (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) CGEEQU Function/Subroutine Documentationsubroutine 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 matrix A and reduce its…
cgecon.f – SynopsisFunctions/Subroutinessubroutine cgecon (NORM, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO) CGECON Function/Subroutine Documentationsubroutine 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 A, in either the 1-norm…
cgebrd.f – SynopsisFunctions/Subroutinessubroutine cgebrd (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK, INFO) CGEBRD Function/Subroutine Documentationsubroutine 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: CGEBRD reduces a general complex…
cgebd2.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cgebd2 (integerM, integerN, complex, dimension( lda, * )A, integerLDA, real, dimension( * )D, real, dimension( * )E, complex, dimension( * )TAUQ, complex, dimension( * )TAUP, complex, dimension(…
cgebal.f – SynopsisFunctions/Subroutinessubroutine cgebal (JOB, N, A, LDA, ILO, IHI, SCALE, INFO) CGEBAL Function/Subroutine Documentationsubroutine 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 eigenvalues in the first 1…
cgebak.f – SynopsisFunctions/Subroutinessubroutine cgebak (JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO) CGEBAK Function/Subroutine Documentationsubroutine 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 transformation on the computed eigenvectors…
cgbtrs.f – SynopsisFunctions/Subroutinessubroutine cgbtrs (TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) CGBTRS Function/Subroutine Documentationsubroutine 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 * X = B, A**T…
cgbtrf.f – SynopsisFunctions/Subroutinessubroutine cgbtrf (M, N, KL, KU, AB, LDAB, IPIV, INFO) CGBTRF Function/Subroutine Documentationsubroutine 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. This is the blocked version…
cgbtf2.f – SynopsisFunctions/Subroutinessubroutine 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 Documentationsubroutine cgbtf2 (integerM, integerN, integerKL, integerKU, complex, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, integerINFO)CGBTF2 computes the LU factorization of a general band…