Section 3: library functions
dgees.f – SynopsisFunctions/Subroutinessubroutine dgees (JOBVS, SORT, SELECT, N, A, LDA, SDIM, WR, WI, VS, LDVS, WORK, LWORK, BWORK, INFO) DGEES computes the eigenvalues, the Schur form, and, optionally, the matrix of Schur vectors for GE matrices Function/Subroutine Documentationsubroutine dgees (characterJOBVS, characterSORT, logical, externalSELECT, integerN, double precision, dimension( lda, * )A, integerLDA, integerSDIM, double precision, dimension(…
dgeequb.f – SynopsisFunctions/Subroutinessubroutine dgeequb (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) DGEEQUB Function/Subroutine Documentationsubroutine dgeequb (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )R, double precision, dimension( * )C, double precisionROWCND, double precisionCOLCND, double precisionAMAX, integerINFO)DGEEQUB Purpose: DGEEQUB computes row and column scalings intended to equilibrate an…
dgeequ.f – SynopsisFunctions/Subroutinessubroutine dgeequ (M, N, A, LDA, R, C, ROWCND, COLCND, AMAX, INFO) DGEEQU Function/Subroutine Documentationsubroutine dgeequ (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )R, double precision, dimension( * )C, double precisionROWCND, double precisionCOLCND, double precisionAMAX, integerINFO)DGEEQU Purpose: DGEEQU computes row and column scalings intended to equilibrate an…
dgecon.f – SynopsisFunctions/Subroutinessubroutine dgecon (NORM, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO) DGECON Function/Subroutine Documentationsubroutine dgecon (characterNORM, integerN, double precision, dimension( lda, * )A, integerLDA, double precisionANORM, double precisionRCOND, double precision, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO)DGECON Purpose: DGECON estimates the reciprocal of the condition number of a general real matrix A,…
dgebrd.f – SynopsisFunctions/Subroutinessubroutine dgebrd (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, LWORK, INFO) DGEBRD Function/Subroutine Documentationsubroutine dgebrd (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( * )TAUQ, double precision, dimension( * )TAUP, double precision, dimension( * )WORK, integerLWORK, integerINFO)DGEBRD…
dgebd2.f – SynopsisFunctions/Subroutinessubroutine dgebd2 (M, N, A, LDA, D, E, TAUQ, TAUP, WORK, INFO) DGEBD2 reduces a general matrix to bidiagonal form using an unblocked algorithm. Function/Subroutine Documentationsubroutine dgebd2 (integerM, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( * )TAUQ, double precision,…
dgebal.f – SynopsisFunctions/Subroutinessubroutine dgebal (JOB, N, A, LDA, ILO, IHI, SCALE, INFO) DGEBAL Function/Subroutine Documentationsubroutine dgebal (characterJOB, integerN, double precision, dimension( lda, * )A, integerLDA, integerILO, integerIHI, double precision, dimension( * )SCALE, integerINFO)DGEBAL Purpose: DGEBAL balances a general real matrix A. This involves, first, permuting A by a similarity transformation to isolate eigenvalues in the…
dgebak.f – SynopsisFunctions/Subroutinessubroutine dgebak (JOB, SIDE, N, ILO, IHI, SCALE, M, V, LDV, INFO) DGEBAK Function/Subroutine Documentationsubroutine dgebak (characterJOB, characterSIDE, integerN, integerILO, integerIHI, double precision, dimension( * )SCALE, integerM, double precision, dimension( ldv, * )V, integerLDV, integerINFO)DGEBAK Purpose: DGEBAK forms the right or left eigenvectors of a real general matrix by backward transformation on the…
dgbtrs.f – SynopsisFunctions/Subroutinessubroutine dgbtrs (TRANS, N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) DGBTRS Function/Subroutine Documentationsubroutine dgbtrs (characterTRANS, integerN, integerKL, integerKU, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, double precision, dimension( ldb, * )B, integerLDB, integerINFO)DGBTRS Purpose: DGBTRS solves a system of linear equations A * X =…
dgbtrf.f – SynopsisFunctions/Subroutinessubroutine dgbtrf (M, N, KL, KU, AB, LDAB, IPIV, INFO) DGBTRF Function/Subroutine Documentationsubroutine dgbtrf (integerM, integerN, integerKL, integerKU, double precision, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, integerINFO)DGBTRF Purpose: DGBTRF computes an LU factorization of a real m-by-n band matrix A using partial pivoting with row interchanges. This is the blocked…
dgbtf2.f – SynopsisFunctions/Subroutinessubroutine dgbtf2 (M, N, KL, KU, AB, LDAB, IPIV, INFO) DGBTF2 computes the LU factorization of a general band matrix using the unblocked version of the algorithm. Function/Subroutine Documentationsubroutine dgbtf2 (integerM, integerN, integerKL, integerKU, double precision, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, integerINFO)DGBTF2 computes the LU factorization of a general…
dgbsvxx.f – SynopsisFunctions/Subroutinessubroutine dgbsvxx (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, IWORK, INFO) DGBSVXX computes the solution to system of linear equations A * X = B for GB matrices Function/Subroutine Documentationsubroutine dgbsvxx (characterFACT, characterTRANS,…
dgbsvx.f – SynopsisFunctions/Subroutinessubroutine dgbsvx (FACT, TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, EQUED, R, C, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, IWORK, INFO) DGBSVX computes the solution to system of linear equations A * X = B for GB matrices Function/Subroutine Documentationsubroutine dgbsvx (characterFACT, characterTRANS, integerN, integerKL, integerKU, integerNRHS, double…
dgbsv.f – SynopsisFunctions/Subroutinessubroutine dgbsv (N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO) DGBSV computes the solution to system of linear equations A * X = B for GB matrices (simple driver) Function/Subroutine Documentationsubroutine dgbsv (integerN, integerKL, integerKU, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, double precision, dimension( ldb,…
dgbrfsx.f – SynopsisFunctions/Subroutinessubroutine dgbrfsx (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, IWORK, INFO) DGBRFSX Function/Subroutine Documentationsubroutine dgbrfsx (characterTRANS, characterEQUED, integerN, integerKL, integerKU, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldafb, * )AFB, integerLDAFB,…
dgbrfs.f – SynopsisFunctions/Subroutinessubroutine dgbrfs (TRANS, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO) DGBRFS Function/Subroutine Documentationsubroutine dgbrfs (characterTRANS, integerN, integerKL, integerKU, integerNRHS, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldafb, * )AFB, integerLDAFB, integer, dimension( * )IPIV, double precision, dimension( ldb, *…
dgbmv.f – SynopsisFunctions/Subroutinessubroutine dgbmv (TRANS, M, N, KL, KU, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) DGBMV Function/Subroutine Documentationsubroutine dgbmv (characterTRANS, integerM, integerN, integerKL, integerKU, double precisionALPHA, double precision, dimension(lda,*)A, integerLDA, double precision, dimension(*)X, integerINCX, double precisionBETA, double precision, dimension(*)Y, integerINCY)DGBMV Purpose: DGBMV performs one of the matrix-vector operations y := alpha*A*x + beta*y,…
dgbequb.f – SynopsisFunctions/Subroutinessubroutine dgbequb (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, INFO) DGBEQUB Function/Subroutine Documentationsubroutine dgbequb (integerM, integerN, integerKL, integerKU, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )R, double precision, dimension( * )C, double precisionROWCND, double precisionCOLCND, double precisionAMAX, integerINFO)DGBEQUB Purpose: DGBEQUB computes row and column scalings…
dgbequ.f – SynopsisFunctions/Subroutinessubroutine dgbequ (M, N, KL, KU, AB, LDAB, R, C, ROWCND, COLCND, AMAX, INFO) DGBEQU Function/Subroutine Documentationsubroutine dgbequ (integerM, integerN, integerKL, integerKU, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )R, double precision, dimension( * )C, double precisionROWCND, double precisionCOLCND, double precisionAMAX, integerINFO)DGBEQU Purpose: DGBEQU computes row and column scalings…
dgbcon.f – SynopsisFunctions/Subroutinessubroutine dgbcon (NORM, N, KL, KU, AB, LDAB, IPIV, ANORM, RCOND, WORK, IWORK, INFO) DGBCON Function/Subroutine Documentationsubroutine dgbcon (characterNORM, integerN, integerKL, integerKU, double precision, dimension( ldab, * )AB, integerLDAB, integer, dimension( * )IPIV, double precisionANORM, double precisionRCOND, double precision, dimension( * )WORK, integer, dimension( * )IWORK, integerINFO)DGBCON Purpose: DGBCON estimates the reciprocal of…