Linux Manuals session 3

dla_geamv.f – SynopsisFunctions/Subroutinessubroutine dla_geamv (TRANS, M, N, ALPHA, A, LDA, X, INCX, BETA, Y, INCY) DLA_GEAMV computes a matrix-vector product using a general matrix to calculate error bounds. Function/Subroutine Documentationsubroutine dla_geamv (integerTRANS, integerM, integerN, double precisionALPHA, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )X, integerINCX, double precisionBETA, double precision, dimension( *…

dla_gbrpvgrw.f – SynopsisFunctions/SubroutinesDOUBLE PRECISION function dla_gbrpvgrw (N, KL, KU, NCOLS, AB, LDAB, AFB, LDAFB) DLA_GBRPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U) for a general banded matrix. Function/Subroutine DocumentationDOUBLE PRECISION function dla_gbrpvgrw (integerN, integerKL, integerKU, integerNCOLS, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldafb, * )AFB, integerLDAFB)DLA_GBRPVGRW computes the reciprocal pivot growth…

dla_gbrfsx_extended.f – SynopsisFunctions/Subroutinessubroutine dla_gbrfsx_extended (PREC_TYPE, TRANS_TYPE, N, KL, KU, NRHS, AB, LDAB, AFB, LDAFB, IPIV, COLEQU, C, B, LDB, Y, LDY, BERR_OUT, N_NORMS, ERR_BNDS_NORM, ERR_BNDS_COMP, RES, AYB, DY, Y_TAIL, RCOND, ITHRESH, RTHRESH, DZ_UB, IGNORE_CWISE, INFO) DLA_GBRFSX_EXTENDED improves the computed solution to a system of linear equations for general banded matrices by performing extra-precise iterative refinement…

dla_gbrcond.f – SynopsisFunctions/SubroutinesDOUBLE PRECISION function dla_gbrcond (TRANS, N, KL, KU, AB, LDAB, AFB, LDAFB, IPIV, CMODE, C, INFO, WORK, IWORK) DLA_GBRCOND estimates the Skeel condition number for a general banded matrix. Function/Subroutine DocumentationDOUBLE PRECISION function dla_gbrcond (characterTRANS, integerN, integerKL, integerKU, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( ldafb, * )AFB, integerLDAFB, integer,…

dla_gbamv.f – SynopsisFunctions/Subroutinessubroutine dla_gbamv (TRANS, M, N, KL, KU, ALPHA, AB, LDAB, X, INCX, BETA, Y, INCY) DLA_GBAMV performs a matrix-vector operation to calculate error bounds. Function/Subroutine Documentationsubroutine dla_gbamv (integerTRANS, integerM, integerN, integerKL, integerKU, double precisionALPHA, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )X, integerINCX, double precisionBETA, double precision, dimension( *…

dlauum.f – SynopsisFunctions/Subroutinessubroutine dlauum (UPLO, N, A, LDA, INFO) DLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked algorithm). Function/Subroutine Documentationsubroutine dlauum (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, integerINFO)DLAUUM computes the product UUH or LHL, where U and L are upper or lower…

dlauu2.f – SynopsisFunctions/Subroutinessubroutine dlauu2 (UPLO, N, A, LDA, INFO) DLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm). Function/Subroutine Documentationsubroutine dlauu2 (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, integerINFO)DLAUU2 computes the product UUH or LHL, where U and L are upper or lower…

dlatzm.f – SynopsisFunctions/Subroutinessubroutine dlatzm (SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK) DLATZM Function/Subroutine Documentationsubroutine dlatzm (characterSIDE, integerM, integerN, double precision, dimension( * )V, integerINCV, double precisionTAU, double precision, dimension( ldc, * )C1, double precision, dimension( ldc, * )C2, integerLDC, double precision, dimension( * )WORK)DLATZM Purpose: This routine is deprecated and has been…

dlatrz.f – SynopsisFunctions/Subroutinessubroutine dlatrz (M, N, L, A, LDA, TAU, WORK) DLATRZ factors an upper trapezoidal matrix by means of orthogonal transformations. Function/Subroutine Documentationsubroutine dlatrz (integerM, integerN, integerL, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )TAU, double precision, dimension( * )WORK)DLATRZ factors an upper trapezoidal matrix by means of orthogonal transformations….

dlatrs.f – SynopsisFunctions/Subroutinessubroutine dlatrs (UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO) DLATRS solves a triangular system of equations with the scale factor set to prevent overflow. Function/Subroutine Documentationsubroutine dlatrs (characterUPLO, characterTRANS, characterDIAG, characterNORMIN, integerN, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )X, double precisionSCALE, double precision, dimension(…

dlatrd.f – SynopsisFunctions/Subroutinessubroutine dlatrd (UPLO, N, NB, A, LDA, E, TAU, W, LDW) DLATRD reduces the first nb rows and columns of a symmetric/Hermitian matrix A to real tridiagonal form by an orthogonal similarity transformation. Function/Subroutine Documentationsubroutine dlatrd (characterUPLO, integerN, integerNB, double precision, dimension( lda, * )A, integerLDA, double precision, dimension( * )E, double precision,…

dlatps.f – SynopsisFunctions/Subroutinessubroutine dlatps (UPLO, TRANS, DIAG, NORMIN, N, AP, X, SCALE, CNORM, INFO) DLATPS solves a triangular system of equations with the matrix held in packed storage. Function/Subroutine Documentationsubroutine dlatps (characterUPLO, characterTRANS, characterDIAG, characterNORMIN, integerN, double precision, dimension( * )AP, double precision, dimension( * )X, double precisionSCALE, double precision, dimension( * )CNORM, integerINFO)DLATPS solves…

dlatdf.f – SynopsisFunctions/Subroutinessubroutine dlatdf (IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV, JPIV) DLATDF uses the LU factorization of the n-by-n matrix computed by sgetc2 and computes a contribution to the reciprocal Dif-estimate. Function/Subroutine Documentationsubroutine dlatdf (integerIJOB, integerN, double precision, dimension( ldz, * )Z, integerLDZ, double precision, dimension( * )RHS, double precisionRDSUM, double precisionRDSCAL, integer,…

dlatbs.f – SynopsisFunctions/Subroutinessubroutine dlatbs (UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO) DLATBS solves a triangular banded system of equations. Function/Subroutine Documentationsubroutine dlatbs (characterUPLO, characterTRANS, characterDIAG, characterNORMIN, integerN, integerKD, double precision, dimension( ldab, * )AB, integerLDAB, double precision, dimension( * )X, double precisionSCALE, double precision, dimension( * )CNORM, integerINFO)DLATBS solves a…

dlat2s.f – SynopsisFunctions/Subroutinessubroutine dlat2s (UPLO, N, A, LDA, SA, LDSA, INFO) DLAT2S converts a double-precision triangular matrix to a single-precision triangular matrix. Function/Subroutine Documentationsubroutine dlat2s (characterUPLO, integerN, double precision, dimension( lda, * )A, integerLDA, real, dimension( ldsa, * )SA, integerLDSA, integerINFO)DLAT2S converts a double-precision triangular matrix to a single-precision triangular matrix. Purpose: DLAT2S converts a…

dlasyf.f – SynopsisFunctions/Subroutinessubroutine dlasyf (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) DLASYF computes a partial factorization of a real symmetric matrix using the Bunch-Kaufman diagonal pivoting method. Function/Subroutine Documentationsubroutine dlasyf (characterUPLO, integerN, integerNB, integerKB, double precision, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, double precision, dimension( ldw, * )W, integerLDW,…

dlasy2.f – SynopsisFunctions/Subroutinessubroutine dlasy2 (LTRANL, LTRANR, ISGN, N1, N2, TL, LDTL, TR, LDTR, B, LDB, SCALE, X, LDX, XNORM, INFO) DLASY2 solves the Sylvester matrix equation where the matrices are of order 1 or 2. Function/Subroutine Documentationsubroutine dlasy2 (logicalLTRANL, logicalLTRANR, integerISGN, integerN1, integerN2, double precision, dimension( ldtl, * )TL, integerLDTL, double precision, dimension( ldtr, *…

dlaswp.f – SynopsisFunctions/Subroutinessubroutine dlaswp (N, A, LDA, K1, K2, IPIV, INCX) DLASWP performs a series of row interchanges on a general rectangular matrix. Function/Subroutine Documentationsubroutine dlaswp (integerN, double precision, dimension( lda, * )A, integerLDA, integerK1, integerK2, integer, dimension( * )IPIV, integerINCX)DLASWP performs a series of row interchanges on a general rectangular matrix. Purpose: DLASWP performs…

dlasv2.f – SynopsisFunctions/Subroutinessubroutine dlasv2 (F, G, H, SSMIN, SSMAX, SNR, CSR, SNL, CSL) DLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix. Function/Subroutine Documentationsubroutine dlasv2 (double precisionF, double precisionG, double precisionH, double precisionSSMIN, double precisionSSMAX, double precisionSNR, double precisionCSR, double precisionSNL, double precisionCSL)DLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix….

dlassq.f – SynopsisFunctions/Subroutinessubroutine dlassq (N, X, INCX, SCALE, SUMSQ) DLASSQ updates a sum of squares represented in scaled form. Function/Subroutine Documentationsubroutine dlassq (integerN, double precision, dimension( * )X, integerINCX, double precisionSCALE, double precisionSUMSQ)DLASSQ updates a sum of squares represented in scaled form. Purpose: DLASSQ returns the values scl and smsq such that ( scl**2 )*smsq…