Section 3: library functions
slauum.f – Synopsis Functions/Subroutines subroutine slauum (UPLO, N, A, LDA, INFO) SLAUUM computes the product UUH or LHL, where U and L are upper or lower triangular matrices (blocked algorithm). Function/Subroutine Documentation subroutine slauum (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integerINFO) SLAUUM computes the product UUH or LHL, where U and L are…
slauu2.f – Synopsis Functions/Subroutines subroutine slauu2 (UPLO, N, A, LDA, INFO) SLAUU2 computes the product UUH or LHL, where U and L are upper or lower triangular matrices (unblocked algorithm). Function/Subroutine Documentation subroutine slauu2 (characterUPLO, integerN, real, dimension( lda, * )A, integerLDA, integerINFO) SLAUU2 computes the product UUH or LHL, where U and L are…
slatzm.f – Synopsis Functions/Subroutines subroutine slatzm (SIDE, M, N, V, INCV, TAU, C1, C2, LDC, WORK) SLATZM Function/Subroutine Documentation subroutine slatzm (characterSIDE, integerM, integerN, real, dimension( * )V, integerINCV, realTAU, real, dimension( ldc, * )C1, real, dimension( ldc, * )C2, integerLDC, real, dimension( * )WORK) SLATZM Purpose: This routine is deprecated and has been replaced…
slatrz.f – Synopsis Functions/Subroutines subroutine slatrz (M, N, L, A, LDA, TAU, WORK) SLATRZ factors an upper trapezoidal matrix by means of orthogonal transformations. Function/Subroutine Documentation subroutine slatrz (integerM, integerN, integerL, real, dimension( lda, * )A, integerLDA, real, dimension( * )TAU, real, dimension( * )WORK) SLATRZ factors an upper trapezoidal matrix by means of orthogonal…
slatrs.f – Synopsis Functions/Subroutines subroutine slatrs (UPLO, TRANS, DIAG, NORMIN, N, A, LDA, X, SCALE, CNORM, INFO) SLATRS solves a triangular system of equations with the scale factor set to prevent overflow. Function/Subroutine Documentation subroutine slatrs (characterUPLO, characterTRANS, characterDIAG, characterNORMIN, integerN, real, dimension( lda, * )A, integerLDA, real, dimension( * )X, realSCALE, real, dimension( *…
slatrd.f – Synopsis Functions/Subroutines subroutine slatrd (UPLO, N, NB, A, LDA, E, TAU, W, LDW) SLATRD reduces the first nb rows and columns of a symmetric/Hermitian matrix A to real tridiagonal form by an orthogonal similarity transformation. Function/Subroutine Documentation subroutine slatrd (characterUPLO, integerN, integerNB, real, dimension( lda, * )A, integerLDA, real, dimension( * )E, real,…
slatps.f – Synopsis Functions/Subroutines subroutine slatps (UPLO, TRANS, DIAG, NORMIN, N, AP, X, SCALE, CNORM, INFO) SLATPS solves a triangular system of equations with the matrix held in packed storage. Function/Subroutine Documentation subroutine slatps (characterUPLO, characterTRANS, characterDIAG, characterNORMIN, integerN, real, dimension( * )AP, real, dimension( * )X, realSCALE, real, dimension( * )CNORM, integerINFO) SLATPS solves…
slatdf.f – Synopsis Functions/Subroutines subroutine slatdf (IJOB, N, Z, LDZ, RHS, RDSUM, RDSCAL, IPIV, JPIV) SLATDF uses the LU factorization of the n-by-n matrix computed by sgetc2 and computes a contribution to the reciprocal Dif-estimate. Function/Subroutine Documentation subroutine slatdf (integerIJOB, integerN, real, dimension( ldz, * )Z, integerLDZ, real, dimension( * )RHS, realRDSUM, realRDSCAL, integer, dimension(…
slatbs.f – Synopsis Functions/Subroutines subroutine slatbs (UPLO, TRANS, DIAG, NORMIN, N, KD, AB, LDAB, X, SCALE, CNORM, INFO) SLATBS solves a triangular banded system of equations. Function/Subroutine Documentation subroutine slatbs (characterUPLO, characterTRANS, characterDIAG, characterNORMIN, integerN, integerKD, real, dimension( ldab, * )AB, integerLDAB, real, dimension( * )X, realSCALE, real, dimension( * )CNORM, integerINFO) SLATBS solves a…
slasyf.f – Synopsis Functions/Subroutines subroutine slasyf (UPLO, N, NB, KB, A, LDA, IPIV, W, LDW, INFO) SLASYF computes a partial factorization of a real symmetric matrix using the Bunch-Kaufman diagonal pivoting method. Function/Subroutine Documentation subroutine slasyf (characterUPLO, integerN, integerNB, integerKB, real, dimension( lda, * )A, integerLDA, integer, dimension( * )IPIV, real, dimension( ldw, * )W,…
slasy2.f – Synopsis Functions/Subroutines subroutine slasy2 (LTRANL, LTRANR, ISGN, N1, N2, TL, LDTL, TR, LDTR, B, LDB, SCALE, X, LDX, XNORM, INFO) SLASY2 solves the Sylvester matrix equation where the matrices are of order 1 or 2. Function/Subroutine Documentation subroutine slasy2 (logicalLTRANL, logicalLTRANR, integerISGN, integerN1, integerN2, real, dimension( ldtl, * )TL, integerLDTL, real, dimension( ldtr,…
slaswp.f – Synopsis Functions/Subroutines subroutine slaswp (N, A, LDA, K1, K2, IPIV, INCX) SLASWP performs a series of row interchanges on a general rectangular matrix. Function/Subroutine Documentation subroutine slaswp (integerN, real, dimension( lda, * )A, integerLDA, integerK1, integerK2, integer, dimension( * )IPIV, integerINCX) SLASWP performs a series of row interchanges on a general rectangular matrix….
slasv2.f – Synopsis Functions/Subroutines subroutine slasv2 (F, G, H, SSMIN, SSMAX, SNR, CSR, SNL, CSL) SLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix. Function/Subroutine Documentation subroutine slasv2 (realF, realG, realH, realSSMIN, realSSMAX, realSNR, realCSR, realSNL, realCSL) SLASV2 computes the singular value decomposition of a 2-by-2 triangular matrix. Purpose: SLASV2 computes the singular…
slassq.f – Synopsis Functions/Subroutines subroutine slassq (N, X, INCX, SCALE, SUMSQ) SLASSQ updates a sum of squares represented in scaled form. Function/Subroutine Documentation subroutine slassq (integerN, real, dimension( * )X, integerINCX, realSCALE, realSUMSQ) SLASSQ updates a sum of squares represented in scaled form. Purpose: SLASSQ returns the values scl and smsq such that ( scl**2…
slasrt.f – Synopsis Functions/Subroutines subroutine slasrt (ID, N, D, INFO) SLASRT sorts numbers in increasing or decreasing order. Function/Subroutine Documentation subroutine slasrt (characterID, integerN, real, dimension( * )D, integerINFO) SLASRT sorts numbers in increasing or decreasing order. Purpose: Sort the numbers in D in increasing order (if ID = ‘I’) or in decreasing order (if…
slasr.f – Synopsis Functions/Subroutines subroutine slasr (SIDE, PIVOT, DIRECT, M, N, C, S, A, LDA) SLASR applies a sequence of plane rotations to a general rectangular matrix. Function/Subroutine Documentation subroutine slasr (characterSIDE, characterPIVOT, characterDIRECT, integerM, integerN, real, dimension( * )C, real, dimension( * )S, real, dimension( lda, * )A, integerLDA) SLASR applies a sequence of…
slasq6.f – Synopsis Functions/Subroutines subroutine slasq6 (I0, N0, Z, PP, DMIN, DMIN1, DMIN2, DN, DNM1, DNM2) SLASQ6 computes one dqd transform in ping-pong form. Used by sbdsqr and sstegr. Function/Subroutine Documentation subroutine slasq6 (integerI0, integerN0, real, dimension( * )Z, integerPP, realDMIN, realDMIN1, realDMIN2, realDN, realDNM1, realDNM2) SLASQ6 computes one dqd transform in ping-pong form. Used…
slasq5.f – Synopsis Functions/Subroutines subroutine slasq5 (I0, N0, Z, PP, TAU, SIGMA, DMIN, DMIN1, DMIN2, DN, DNM1, DNM2, IEEE, EPS) SLASQ5 computes one dqds transform in ping-pong form. Used by sbdsqr and sstegr. Function/Subroutine Documentation subroutine slasq5 (integerI0, integerN0, real, dimension( * )Z, integerPP, realTAU, realSIGMA, realDMIN, realDMIN1, realDMIN2, realDN, realDNM1, realDNM2, logicalIEEE, realEPS) SLASQ5…
slasq4.f – Synopsis Functions/Subroutines subroutine slasq4 (I0, N0, Z, PP, N0IN, DMIN, DMIN1, DMIN2, DN, DN1, DN2, TAU, TTYPE, G) SLASQ4 computes an approximation to the smallest eigenvalue using values of d from the previous transform. Used by sbdsqr. Function/Subroutine Documentation subroutine slasq4 (integerI0, integerN0, real, dimension( * )Z, integerPP, integerN0IN, realDMIN, realDMIN1, realDMIN2, realDN,…
slasq3.f – Synopsis Functions/Subroutines subroutine slasq3 (I0, N0, Z, PP, DMIN, SIGMA, DESIG, QMAX, NFAIL, ITER, NDIV, IEEE, TTYPE, DMIN1, DMIN2, DN, DN1, DN2, G, TAU) SLASQ3 checks for deflation, computes a shift and calls dqds. Used by sbdsqr. Function/Subroutine Documentation subroutine slasq3 (integerI0, integerN0, real, dimension( * )Z, integerPP, realDMIN, realSIGMA, realDESIG, realQMAX, integerNFAIL,…