slasd0.f(3)

NAME
slasd0.f -

SYNOPSIS

  Functions/Subroutines

subroutine slasd0 (N, SQRE, D, E, U, LDU, VT, LDVT, SMLSIZ, IWORK, WORK, INFO)
SLASD0 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 slasd0 (integerN, integerSQRE, real, dimension( * )D, real, dimension( * )E, real, dimension( ldu, * )U, integerLDU, real, dimension( ldvt, * )VT, integerLDVT, integerSMLSIZ, integer, dimension( * )IWORK, real, dimension( * )WORK, integerINFO)

SLASD0 computes the singular values of a real upper bidiagonal n-by-m matrix B with diagonal d and off-diagonal e. Used by sbdsdc.

Purpose:

     Using a divide and conquer approach, SLASD0 computes the singular
     value decomposition (SVD) of a real upper bidiagonal N-by-M
     matrix B with diagonal D and offdiagonal E, where M = N + SQRE.
     The algorithm computes orthogonal matrices U and VT such that
     B = U * S * VT. The singular values S are overwritten on D.

     A related subroutine, SLASDA, computes only the singular values,
     and optionally, the singular vectors in compact form.

Parameters:
    N

              N is INTEGER
             On entry, the row dimension of the upper bidiagonal matrix.
             This is also the dimension of the main diagonal array D.

    SQRE

              SQRE is INTEGER
             Specifies the column dimension of the bidiagonal matrix.
             = 0: The bidiagonal matrix has column dimension M = N;
             = 1: The bidiagonal matrix has column dimension M = N+1;

    D

              D is REAL array, dimension (N)
             On entry D contains the main diagonal of the bidiagonal
             matrix.
             On exit D, if INFO = 0, contains its singular values.

    E

              E is REAL array, dimension (M-1)
             Contains the subdiagonal entries of the bidiagonal matrix.
             On exit, E has been destroyed.

    U

              U is REAL array, dimension at least (LDQ, N)
             On exit, U contains the left singular vectors.

    LDU

              LDU is INTEGER
             On entry, leading dimension of U.

    VT

              VT is REAL array, dimension at least (LDVT, M)
             On exit, VT**T contains the right singular vectors.

    LDVT

              LDVT is INTEGER
             On entry, leading dimension of VT.

    SMLSIZ

              SMLSIZ is INTEGER
             On entry, maximum size of the subproblems at the
             bottom of the computation tree.

    IWORK

              IWORK is INTEGER array, dimension (8*N)

    WORK

              WORK is REAL array, dimension (3*M**2+2*M)

    INFO

              INFO is INTEGER
              = 0:  successful exit.
              < 0:  if INFO = -i, the i-th argument had an illegal value.
              > 0:  if INFO = 1, a singular value did not converge

Author:
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Date:
    September 2012

Contributors:
    Ming Gu and Huan Ren, Computer Science Division, University of California at Berkeley, USA

Definition at line 150 of file slasd0.f.

Author

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