
SLASQ1(l) ) SLASQ1(l)
NAME
SLASQ1  compute the singular values of a real NbyN bidiagonal matrix with diagonal D
and offdiagonal E
SYNOPSIS
SUBROUTINE SLASQ1( N, D, E, WORK, INFO )
INTEGER INFO, N
REAL D( * ), E( * ), WORK( * )
PURPOSE
SLASQ1 computes the singular values of a real NbyN bidiagonal matrix with diagonal D and
offdiagonal E. The singular values are computed to high relative accuracy, in the absence
of denormalization, underflow and overflow. The algorithm was first presented in
"Accurate singular values and differential qd algorithms" by K. V. Fernando and B. N.
Parlett, Numer. Math., Vol67, No. 2, pp. 191230, 1994,
and the present implementation is described in "An implementation of the dqds Algorithm
(Positive Case)", LAPACK Working Note.
ARGUMENTS
N (input) INTEGER
The number of rows and columns in the matrix. N >= 0.
D (input/output) REAL array, dimension (N)
On entry, D contains the diagonal elements of the bidiagonal matrix whose SVD is
desired. On normal exit, D contains the singular values in decreasing order.
E (input/output) REAL array, dimension (N)
On entry, elements E(1:N1) contain the offdiagonal elements of the bidiagonal
matrix whose SVD is desired. On exit, E is overwritten.
WORK (workspace) REAL array, dimension (4*N)
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = i, the ith argument had an illegal value
> 0: the algorithm failed = 1, a split was marked by a positive value in E = 2, cur
rent block of Z not diagonalized after 30*N iterations (in inner while loop) = 3,
termination criterion of outer while loop not met (program created more than N unre
duced blocks)
LAPACK version 3.0 15 June 2000 SLASQ1(l) 
