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NAME dlasq3.f – SYNOPSIS Functions/Subroutines subroutine dlasq3 (I0, N0, Z, PP, DMIN, SIGMA, DESIG, QMAX, NFAIL, ITER, NDIV, IEEE, TTYPE, DMIN1, DMIN2, DN, DN1, DN2, G, TAU) DLASQ3 checks for deflation, computes a shift and calls dqds. Used by sbdsqr. Function/Subroutine Documentation subroutine dlasq3 (integerI0, integerN0, double precision, dimension( * )Z, integerPP, double precisionDMIN, double…
NAME dlasq2.f – SYNOPSIS Functions/Subroutines subroutine dlasq2 (N, Z, INFO) DLASQ2 computes all the eigenvalues of the symmetric positive definite tridiagonal matrix associated with the qd Array Z to high relative accuracy. Used by sbdsqr and sstegr. Function/Subroutine Documentation subroutine dlasq2 (integerN, double precision, dimension( * )Z, integerINFO) DLASQ2 computes all the eigenvalues of the…
NAME dlasq1.f – SYNOPSIS Functions/Subroutines subroutine dlasq1 (N, D, E, WORK, INFO) DLASQ1 computes the singular values of a real square bidiagonal matrix. Used by sbdsqr. Function/Subroutine Documentation subroutine dlasq1 (integerN, double precision, dimension( * )D, double precision, dimension( * )E, double precision, dimension( * )WORK, integerINFO) DLASQ1 computes the singular values of a real…
NAME dlaset.f – SYNOPSIS Functions/Subroutines subroutine dlaset (UPLO, M, N, ALPHA, BETA, A, LDA) DLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values. Function/Subroutine Documentation subroutine dlaset (characterUPLO, integerM, integerN, double precisionALPHA, double precisionBETA, double precision, dimension( lda, * )A, integerLDA) DLASET initializes the off-diagonal elements and the diagonal…
NAME dlasdt.f – SYNOPSIS Functions/Subroutines subroutine dlasdt (N, LVL, ND, INODE, NDIML, NDIMR, MSUB) DLASDT creates a tree of subproblems for bidiagonal divide and conquer. Used by sbdsdc. Function/Subroutine Documentation subroutine dlasdt (integerN, integerLVL, integerND, integer, dimension( * )INODE, integer, dimension( * )NDIML, integer, dimension( * )NDIMR, integerMSUB) DLASDT creates a tree of subproblems for…
NAME dlasdq.f – SYNOPSIS Functions/Subroutines subroutine dlasdq (UPLO, SQRE, N, NCVT, NRU, NCC, D, E, VT, LDVT, U, LDU, C, LDC, WORK, INFO) DLASDQ computes the SVD of a real bidiagonal matrix with diagonal d and off-diagonal e. Used by sbdsdc. Function/Subroutine Documentation subroutine dlasdq (characterUPLO, integerSQRE, integerN, integerNCVT, integerNRU, integerNCC, double precision, dimension( *…
NAME dlasda.f – SYNOPSIS Functions/Subroutines subroutine dlasda (ICOMPQ, SMLSIZ, N, SQRE, D, E, U, LDU, VT, K, DIFL, DIFR, Z, POLES, GIVPTR, GIVCOL, LDGCOL, PERM, GIVNUM, C, S, WORK, IWORK, INFO) DLASDA computes the singular value decomposition (SVD) of a real upper bidiagonal matrix with diagonal d and off-diagonal e. Used by sbdsdc. Function/Subroutine Documentation…
NAME dlasd8.f – SYNOPSIS Functions/Subroutines subroutine dlasd8 (ICOMPQ, K, D, Z, VF, VL, DIFL, DIFR, LDDIFR, DSIGMA, WORK, INFO) DLASD8 finds the square roots of the roots of the secular equation, and stores, for each element in D, the distance to its two nearest poles. Used by sbdsdc. Function/Subroutine Documentation subroutine dlasd8 (integerICOMPQ, integerK, double…
NAME dlasd7.f – SYNOPSIS Functions/Subroutines subroutine dlasd7 (ICOMPQ, NL, NR, SQRE, K, D, Z, ZW, VF, VFW, VL, VLW, ALPHA, BETA, DSIGMA, IDX, IDXP, IDXQ, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, C, S, INFO) DLASD7 merges the two sets of singular values together into a single sorted set. Then it tries to deflate the size…
NAME dlasd6.f – SYNOPSIS Functions/Subroutines subroutine dlasd6 (ICOMPQ, NL, NR, SQRE, D, VF, VL, ALPHA, BETA, IDXQ, PERM, GIVPTR, GIVCOL, LDGCOL, GIVNUM, LDGNUM, POLES, DIFL, DIFR, Z, K, C, S, WORK, IWORK, INFO) DLASD6 computes the SVD of an updated upper bidiagonal matrix obtained by merging two smaller ones by appending a row. Used by…
NAME dlasd5.f – SYNOPSIS Functions/Subroutines subroutine dlasd5 (I, D, Z, DELTA, RHO, DSIGMA, WORK) DLASD5 computes the square root of the i-th eigenvalue of a positive symmetric rank-one modification of a 2-by-2 diagonal matrix. Used by sbdsdc. Function/Subroutine Documentation subroutine dlasd5 (integerI, double precision, dimension( 2 )D, double precision, dimension( 2 )Z, double precision, dimension(…
NAME dlasd4.f – SYNOPSIS Functions/Subroutines subroutine dlasd4 (N, I, D, Z, DELTA, RHO, SIGMA, WORK, INFO) DLASD4 computes the square root of the i-th updated eigenvalue of a positive symmetric rank-one modification to a positive diagonal matrix. Used by dbdsdc. Function/Subroutine Documentation subroutine dlasd4 (integerN, integerI, double precision, dimension( * )D, double precision, dimension( *…
NAME dlasd3.f – SYNOPSIS Functions/Subroutines subroutine dlasd3 (NL, NR, SQRE, K, D, Q, LDQ, DSIGMA, U, LDU, U2, LDU2, VT, LDVT, VT2, LDVT2, IDXC, CTOT, Z, INFO) DLASD3 finds all square roots of the roots of the secular equation, as defined by the values in D and Z, and then updates the singular vectors by…
NAME dlasd2.f – SYNOPSIS Functions/Subroutines subroutine dlasd2 (NL, NR, SQRE, K, D, Z, ALPHA, BETA, U, LDU, VT, LDVT, DSIGMA, U2, LDU2, VT2, LDVT2, IDXP, IDX, IDXC, IDXQ, COLTYP, INFO) DLASD2 merges the two sets of singular values together into a single sorted set. Used by sbdsdc. Function/Subroutine Documentation subroutine dlasd2 (integerNL, integerNR, integerSQRE, integerK,…
NAME dlasd1.f – SYNOPSIS Functions/Subroutines subroutine dlasd1 (NL, NR, SQRE, D, ALPHA, BETA, U, LDU, VT, LDVT, IDXQ, IWORK, WORK, INFO) DLASD1 computes the SVD of an upper bidiagonal matrix B of the specified size. Used by sbdsdc. Function/Subroutine Documentation subroutine dlasd1 (integerNL, integerNR, integerSQRE, double precision, dimension( * )D, double precisionALPHA, double precisionBETA, double…
NAME dlasd0.f – SYNOPSIS Functions/Subroutines subroutine dlasd0 (N, SQRE, D, E, U, LDU, VT, LDVT, SMLSIZ, IWORK, WORK, INFO) DLASD0 computes the singular values of a real upper bidiagonal n-by-m matrix B with diagonal d and off-diagonal e. Used by sbdsdc. Function/Subroutine Documentation subroutine dlasd0 (integerN, integerSQRE, double precision, dimension( * )D, double precision, dimension(…
NAME dlascl2.f – SYNOPSIS Functions/Subroutines subroutine dlascl2 (M, N, D, X, LDX) DLASCL2 performs diagonal scaling on a vector. Function/Subroutine Documentation subroutine dlascl2 (integerM, integerN, double precision, dimension( * )D, double precision, dimension( ldx, * )X, integerLDX) DLASCL2 performs diagonal scaling on a vector. Purpose: DLASCL2 performs a diagonal scaling on a vector: x <–…
NAME dlascl.f – SYNOPSIS Functions/Subroutines subroutine dlascl (TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO) DLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom. Function/Subroutine Documentation subroutine dlascl (characterTYPE, integerKL, integerKU, double precisionCFROM, double precisionCTO, integerM, integerN, double precision, dimension( lda, * )A, integerLDA, integerINFO) DLASCL multiplies a general…
NAME dlas2.f – SYNOPSIS Functions/Subroutines subroutine dlas2 (F, G, H, SSMIN, SSMAX) DLAS2 computes singular values of a 2-by-2 triangular matrix. Function/Subroutine Documentation subroutine dlas2 (double precisionF, double precisionG, double precisionH, double precisionSSMIN, double precisionSSMAX) DLAS2 computes singular values of a 2-by-2 triangular matrix. Purpose: DLAS2 computes the singular values of the 2 – by…
NAME dlarzt.f – SYNOPSIS Functions/Subroutines subroutine dlarzt (DIRECT, STOREV, N, K, V, LDV, TAU, T, LDT) DLARZT forms the triangular factor T of a block reflector H = I – vtvH. Function/Subroutine Documentation subroutine dlarzt (characterDIRECT, characterSTOREV, integerN, integerK, double precision, dimension( ldv, * )V, integerLDV, double precision, dimension( * )TAU, double precision, dimension( ldt,…