
DLASD0(l) ) DLASD0(l)
NAME
DLASD0  a divide and conquer approach, DLASD0 computes the singular value decomposition
(SVD) of a real upper bidiagonal NbyM matrix B with diagonal D and offdiagonal E, where
M = N + SQRE
SYNOPSIS
SUBROUTINE DLASD0( N, SQRE, D, E, U, LDU, VT, LDVT, SMLSIZ, IWORK, WORK, INFO )
INTEGER INFO, LDU, LDVT, N, SMLSIZ, SQRE
INTEGER IWORK( * )
DOUBLE PRECISION D( * ), E( * ), U( LDU, * ), VT( LDVT, * ), WORK( * )
PURPOSE
Using a divide and conquer approach, DLASD0 computes the singular value decomposition
(SVD) of a real upper bidiagonal NbyM 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, DLASDA, computes only the singular values, and optionally, the sin
gular vectors in compact form.
ARGUMENTS
N (input) INTEGER
On entry, the row dimension of the upper bidiagonal matrix. This is also the
dimension of the main diagonal array D.
SQRE (input) 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 (input/output) DOUBLE PRECISION 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 (input) DOUBLE PRECISION array, dimension (M1)
Contains the subdiagonal entries of the bidiagonal matrix. On exit, E has been
destroyed.
U (output) DOUBLE PRECISION array, dimension at least (LDQ, N)
On exit, U contains the left singular vectors.
LDU (input) INTEGER
On entry, leading dimension of U.
VT (output) DOUBLE PRECISION array, dimension at least (LDVT, M)
On exit, VT' contains the right singular vectors.
LDVT (input) INTEGER
On entry, leading dimension of VT.
SMLSIZ (input) INTEGER On entry, maximum size of the subproblems at the bottom of
the computation tree.
IWORK INTEGER work array.
Dimension must be at least (8 * N)
WORK DOUBLE PRECISION work array.
Dimension must be at least (3 * M**2 + 2 * M)
INFO (output) INTEGER
= 0: successful exit.
< 0: if INFO = i, the ith argument had an illegal value.
> 0: if INFO = 1, an singular value did not converge
FURTHER DETAILS
Based on contributions by
Ming Gu and Huan Ren, Computer Science Division, University of
California at Berkeley, USA
LAPACK version 3.0 15 June 2000 DLASD0(l) 
