Section 3: library functions
NAME slaneg.f – SYNOPSIS Functions/Subroutines INTEGER function slaneg (N, D, LLD, SIGMA, PIVMIN, R) SLANEG computes the Sturm count. Function/Subroutine Documentation INTEGER function slaneg (integerN, real, dimension( * )D, real, dimension( * )LLD, realSIGMA, realPIVMIN, integerR) SLANEG computes the Sturm count. Purpose: SLANEG computes the Sturm count, the number of negative pivots encountered while factoring…
NAME slamrg.f – SYNOPSIS Functions/Subroutines subroutine slamrg (N1, N2, A, STRD1, STRD2, INDEX) SLAMRG creates a permutation list to merge the entries of two independently sorted sets into a single set sorted in ascending order. Function/Subroutine Documentation subroutine slamrg (integerN1, integerN2, real, dimension( * )A, integerSTRD1, integerSTRD2, integer, dimension( * )INDEX) SLAMRG creates a permutation…
NAME slamch.f – SYNOPSIS Functions/Subroutines REAL function slamch (CMACH) SLAMCH REAL function slamc3 (A, B) SLAMC3 Function/Subroutine Documentation REAL function slamc3 (realA, realB) SLAMC3 Purpose: SLAMC3 is intended to force A and B to be stored prior to doing the addition of A and B , for use in situations where optimizers might hold one…
NAME slamchf77.f – SYNOPSIS Functions/Subroutines REAL function slamch (CMACH) SLAMCHF77 deprecated subroutine slamc1 (BETA, T, RND, IEEE1) SLAMC1 subroutine slamc2 (BETA, T, RND, EPS, EMIN, RMIN, EMAX, RMAX) SLAMC2 REAL function slamc3 (A, B) SLAMC3 subroutine slamc4 (EMIN, START, BASE) SLAMC4 subroutine slamc5 (BETA, P, EMIN, IEEE, EMAX, RMAX) SLAMC5 Function/Subroutine Documentation subroutine slamc1 (integerBETA,…
NAME slamchf77.f – SYNOPSIS Functions/Subroutines REAL function slamch (CMACH) SLAMCHF77 deprecated subroutine slamc1 (BETA, T, RND, IEEE1) SLAMC1 subroutine slamc2 (BETA, T, RND, EPS, EMIN, RMIN, EMAX, RMAX) SLAMC2 REAL function slamc3 (A, B) SLAMC3 subroutine slamc4 (EMIN, START, BASE) SLAMC4 subroutine slamc5 (BETA, P, EMIN, IEEE, EMAX, RMAX) SLAMC5 Function/Subroutine Documentation subroutine slamc1 (integerBETA,…
NAME slamch.f – SYNOPSIS Functions/Subroutines REAL function slamch (CMACH) SLAMCH REAL function slamc3 (A, B) SLAMC3 Function/Subroutine Documentation REAL function slamc3 (realA, realB) SLAMC3 Purpose: SLAMC3 is intended to force A and B to be stored prior to doing the addition of A and B , for use in situations where optimizers might hold one…
NAME slamchf77.f – SYNOPSIS Functions/Subroutines REAL function slamch (CMACH) SLAMCHF77 deprecated subroutine slamc1 (BETA, T, RND, IEEE1) SLAMC1 subroutine slamc2 (BETA, T, RND, EPS, EMIN, RMIN, EMAX, RMAX) SLAMC2 REAL function slamc3 (A, B) SLAMC3 subroutine slamc4 (EMIN, START, BASE) SLAMC4 subroutine slamc5 (BETA, P, EMIN, IEEE, EMAX, RMAX) SLAMC5 Function/Subroutine Documentation subroutine slamc1 (integerBETA,…
NAME slamchf77.f – SYNOPSIS Functions/Subroutines REAL function slamch (CMACH) SLAMCHF77 deprecated subroutine slamc1 (BETA, T, RND, IEEE1) SLAMC1 subroutine slamc2 (BETA, T, RND, EPS, EMIN, RMIN, EMAX, RMAX) SLAMC2 REAL function slamc3 (A, B) SLAMC3 subroutine slamc4 (EMIN, START, BASE) SLAMC4 subroutine slamc5 (BETA, P, EMIN, IEEE, EMAX, RMAX) SLAMC5 Function/Subroutine Documentation subroutine slamc1 (integerBETA,…
NAME slalsd.f – SYNOPSIS Functions/Subroutines subroutine slalsd (UPLO, SMLSIZ, N, NRHS, D, E, B, LDB, RCOND, RANK, WORK, IWORK, INFO) SLALSD uses the singular value decomposition of A to solve the least squares problem. Function/Subroutine Documentation subroutine slalsd (characterUPLO, integerSMLSIZ, integerN, integerNRHS, real, dimension( * )D, real, dimension( * )E, real, dimension( ldb, * )B,…
NAME slalsa.f – SYNOPSIS Functions/Subroutines subroutine slalsa (ICOMPQ, SMLSIZ, N, NRHS, B, LDB, BX, LDBX, U, LDU, VT, K, DIFL, DIFR, Z, POLES, GIVPTR, GIVCOL, LDGCOL, PERM, GIVNUM, C, S, WORK, IWORK, INFO) SLALSA computes the SVD of the coefficient matrix in compact form. Used by sgelsd. Function/Subroutine Documentation subroutine slalsa (integerICOMPQ, integerSMLSIZ, integerN, integerNRHS,…
NAME slals0.f – SYNOPSIS Functions/Subroutines subroutine slals0 (ICOMPQ, NL, NR, SQRE, NRHS, B, LDB, BX, LDBX, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, WORK, INFO) SLALS0 applies back multiplying factors in solving the least squares problem using divide and conquer SVD approach. Used by sgelsd. Function/Subroutine Documentation subroutine slals0…
NAME slaln2.f – SYNOPSIS Functions/Subroutines subroutine slaln2 (LTRANS, NA, NW, SMIN, CA, A, LDA, D1, D2, B, LDB, WR, WI, X, LDX, SCALE, XNORM, INFO) SLALN2 solves a 1-by-1 or 2-by-2 linear system of equations of the specified form. Function/Subroutine Documentation subroutine slaln2 (logicalLTRANS, integerNA, integerNW, realSMIN, realCA, real, dimension( lda, * )A, integerLDA, realD1,…
NAME slaisnan.f – SYNOPSIS Functions/Subroutines LOGICAL function slaisnan (SIN1, SIN2) SLAISNAN tests input for NaN by comparing two arguments for inequality. Function/Subroutine Documentation LOGICAL function slaisnan (realSIN1, realSIN2) SLAISNAN tests input for NaN by comparing two arguments for inequality. Purpose: This routine is not for general use. It exists solely to avoid over-optimization in SISNAN….
NAME slaic1.f – SYNOPSIS Functions/Subroutines subroutine slaic1 (JOB, J, X, SEST, W, GAMMA, SESTPR, S, C) SLAIC1 applies one step of incremental condition estimation. Function/Subroutine Documentation subroutine slaic1 (integerJOB, integerJ, real, dimension( j )X, realSEST, real, dimension( j )W, realGAMMA, realSESTPR, realS, realC) SLAIC1 applies one step of incremental condition estimation. Purpose: SLAIC1 applies one…
slahrd.f – Synopsis Functions/Subroutines subroutine slahrd (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) SLAHRD reduces the first nb columns of a general rectangular matrix A so that elements below the k-th subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A. Function/Subroutine…
NAME slahrd.f – SYNOPSIS Functions/Subroutines subroutine slahrd (N, K, NB, A, LDA, TAU, T, LDT, Y, LDY) SLAHRD reduces the first nb columns of a general rectangular matrix A so that elements below the k-th subdiagonal are zero, and returns auxiliary matrices which are needed to apply the transformation to the unreduced part of A….
NAME slagv2.f – SYNOPSIS Functions/Subroutines subroutine slagv2 (A, LDA, B, LDB, ALPHAR, ALPHAI, BETA, CSL, SNL, CSR, SNR) SLAGV2 computes the Generalized Schur factorization of a real 2-by-2 matrix pencil (A,B) where B is upper triangular. Function/Subroutine Documentation subroutine slagv2 (real, dimension( lda, * )A, integerLDA, real, dimension( ldb, * )B, integerLDB, real, dimension( 2…
NAME slagts.f – SYNOPSIS Functions/Subroutines subroutine slagts (JOB, N, A, B, C, D, IN, Y, TOL, INFO) SLAGTS solves the system of equations (T-λI)x = y or (T-λI)Tx = y,where T is a general tridiagonal matrix and λ a scalar, using the LU factorization computed by slagtf. Function/Subroutine Documentation subroutine slagts (integerJOB, integerN, real, dimension(…
slagtm.f – Synopsis Functions/Subroutines subroutine slagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB) SLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or -1. Function/Subroutine…
NAME slagtf.f – SYNOPSIS Functions/Subroutines subroutine slagtf (N, A, LAMBDA, B, C, TOL, D, IN, INFO) SLAGTF computes an LU factorization of a matrix T-λI, where T is a general tridiagonal matrix, and λ a scalar, using partial pivoting with row interchanges. Function/Subroutine Documentation subroutine slagtf (integerN, real, dimension( * )A, realLAMBDA, real, dimension( *…