man ssteqr2 (Fonctions bibliothèques) - i a modified version of LAPACK routine SSTEQR

NAME

SSTEQR2 - i a modified version of LAPACK routine SSTEQR

SYNOPSIS

SUBROUTINE SSTEQR2(
COMPZ, N, D, E, Z, LDZ, NR, WORK, INFO )
CHARACTER COMPZ
INTEGER INFO, LDZ, N, NR
REAL D( * ), E( * ), WORK( * ), Z( LDZ, * )

PURPOSE

SSTEQR2 is a modified version of LAPACK routine SSTEQR. SSTEQR2 computes all eigenvalues and, optionally, eigenvectors of a symmetric tridiagonal matrix using the implicit QL or QR method. running SSTEQR2 to perform updates on a distributed matrix Q. Proper usage of SSTEQR2 can be gleaned from examination of ScaLAPACK's PSSYEV.

ARGUMENTS

COMPZ (input) CHARACTER*1
= 'N': Compute eigenvalues only.

= 'I': Compute eigenvalues and eigenvectors of the tridiagonal matrix. Z must be initialized to the identity matrix by PDLASET or DLASET prior to entering this subroutine.
N (input) INTEGER
The order of the matrix. N >= 0.
D (input/output) REAL array, dimension (N)
On entry, the diagonal elements of the tridiagonal matrix. On exit, if INFO = 0, the eigenvalues in ascending order.
E (input/output) REAL array, dimension (N-1)
On entry, the (n-1) subdiagonal elements of the tridiagonal matrix. On exit, E has been destroyed.
Z (local input/local output) REAL array, global
dimension (N, N), local dimension (LDZ, NR). On entry, if COMPZ = 'V', then Z contains the orthogonal matrix used in the reduction to tridiagonal form. On exit, if INFO = 0, then if COMPZ = 'V', Z contains the orthonormal eigenvectors of the original symmetric matrix, and if COMPZ = 'I', Z contains the orthonormal eigenvectors of the symmetric tridiagonal matrix. If COMPZ = 'N', then Z is not referenced.
LDZ (input) INTEGER
The leading dimension of the array Z. LDZ >= 1, and if eigenvectors are desired, then LDZ >= max(1,N).
NR (input) INTEGER
NR = MAX(1, NUMROC( N, NB, MYPROW, 0, NPROCS ) ). If COMPZ = 'N', then NR is not referenced.
WORK (workspace) REAL array, dimension (max(1,2*N-2))
If COMPZ = 'N', then WORK is not referenced.
INFO (output) INTEGER
= 0: successful exit

< 0: if INFO = -i, the i-th argument had an illegal value

> 0: the algorithm has failed to find all the eigenvalues in a total of 30*N iterations; if INFO = i, then i elements of E have not converged to zero; on exit, D and E contain the elements of a symmetric tridiagonal matrix which is orthogonally similar to the original matrix.