Section 3: library functions
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 bidiagonal…
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( * )D,…
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 subroutine…
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 precision,…
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 of…
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 sbdsdc….
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( 2…
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( * )Z,…
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 matrix…
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 matrix…
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 matrix…
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, double…
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 precision,…
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( *…
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 <– D…
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 rectangular…
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-2 matrix [ F…
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, *…
dlarzb.f – Synopsis Functions/Subroutines subroutine dlarzb (SIDE, TRANS, DIRECT, STOREV, M, N, K, L, V, LDV, T, LDT, C, LDC, WORK, LDWORK) DLARZB applies a block reflector or its transpose to a general matrix. Function/Subroutine Documentation subroutine dlarzb (characterSIDE, characterTRANS, characterDIRECT, characterSTOREV, integerM, integerN, integerK, integerL, double precision, dimension( ldv, * )V, integerLDV, double precision,…
dlarz.f – Synopsis Functions/Subroutines subroutine dlarz (SIDE, M, N, L, V, INCV, TAU, C, LDC, WORK) DLARZ applies an elementary reflector (as returned by stzrzf) to a general matrix. Function/Subroutine Documentation subroutine dlarz (characterSIDE, integerM, integerN, integerL, double precision, dimension( * )V, integerINCV, double precisionTAU, double precision, dimension( ldc, * )C, integerLDC, double precision, dimension(…