NAME
dstev - compute all eigenvalues and, optionally, eigenvec-
tors of a real symmetric tridiagonal matrix A
SYNOPSIS
SUBROUTINE DSTEV( JOBZ, N, D, E, Z, LDZ, WORK, INFO )
CHARACTER JOBZ
INTEGER INFO, LDZ, N
DOUBLE PRECISION D( * ), E( * ), WORK( * ), Z( LDZ, * )
#include <sunperf.h>
void dstev(char jobz, int n, double *d, double *e, double
*dz, int ldz, int *info) ;
PURPOSE
DSTEV computes all eigenvalues and, optionally, eigenvectors
of a real symmetric tridiagonal matrix A.
ARGUMENTS
JOBZ (input) CHARACTER*1
= 'N': Compute eigenvalues only;
= 'V': Compute eigenvalues and eigenvectors.
N (input) INTEGER
The order of the matrix. N >= 0.
D (input/output) DOUBLE PRECISION array, dimension
(N)
On entry, the n diagonal elements of the tridiago-
nal matrix A. On exit, if INFO = 0, the eigen-
values in ascending order.
E (input/output) DOUBLE PRECISION array, dimension
(N)
On entry, the (n-1) subdiagonal elements of the
tridiagonal matrix A, stored in elements 1 to N-1
of E; E(N) need not be set, but is used by the
routine. On exit, the contents of E are des-
troyed.
Z (output) DOUBLE PRECISION array, dimension (LDZ,
N)
If JOBZ = 'V', then if INFO = 0, Z contains the
orthonormal eigenvectors of the matrix A, with the
i-th column of Z holding the eigenvector
associated with D(i). If JOBZ = 'N', then Z is
not referenced.
LDZ (input) INTEGER
The leading dimension of the array Z. LDZ >= 1,
and if JOBZ = 'V', LDZ >= max(1,N).
WORK (workspace) DOUBLE PRECISION array, dimension
(max(1,2*N-2))
If JOBZ = 'N', WORK is not referenced.
INFO (output) INTEGER
= 0: successful exit
< 0: if INFO = -i, the i-th argument had an ille-
gal value
> 0: if INFO = i, the algorithm failed to con-
verge; i off-diagonal elements of E did not con-
verge to zero.
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