

 
Manual Reference Pages  SSTEIN2 (l)
NAME
SSTEIN2  compute the eigenvectors of a real symmetric tridiagonal matrix T corresponding to specified eigenvalues, using inverse iteration
CONTENTS
Synopsis
Purpose
Arguments
Parameters
SYNOPSIS
SUBROUTINE SSTEIN2(

N, D, E, M, W, IBLOCK, ISPLIT, ORFAC, Z, LDZ,
WORK, IWORK, IFAIL, INFO )


INTEGER
INFO, LDZ, M, N


REAL
ORFAC


INTEGER
IBLOCK( * ), IFAIL( * ), ISPLIT( * ),
IWORK( * )


REAL
D( * ), E( * ), W( * ), WORK( * ), Z( LDZ, * )


PURPOSE
SSTEIN2 computes the eigenvectors of a real symmetric tridiagonal matrix T corresponding to specified eigenvalues, using inverse iteration.
The maximum number of iterations allowed for each eigenvector is
specified by an internal parameter MAXITS (currently set to 5).
ARGUMENTS
N (input) INTEGER
 
The order of the matrix. N >= 0.

D (input) REAL array, dimension (N)
 
The n diagonal elements of the tridiagonal matrix T.

E (input) REAL array, dimension (N)
 
The (n1) subdiagonal elements of the tridiagonal matrix
T, in elements 1 to N1. E(N) need not be set.

M (input) INTEGER
 
The number of eigenvectors to be found. 0 <= M <= N.

W (input) REAL array, dimension (N)
 
The first M elements of W contain the eigenvalues for
which eigenvectors are to be computed. The eigenvalues
should be grouped by splitoff block and ordered from
smallest to largest within the block. ( The output array
W from SSTEBZ with ORDER = ’B’ is expected here. )

IBLOCK (input) INTEGER array, dimension (N)
 
The submatrix indices associated with the corresponding
eigenvalues in W; IBLOCK(i)=1 if eigenvalue W(i) belongs to
the first submatrix from the top, =2 if W(i) belongs to
the second submatrix, etc. ( The output array IBLOCK
from SSTEBZ is expected here. )

ISPLIT (input) INTEGER array, dimension (N)
 
The splitting points, at which T breaks up into submatrices.
The first submatrix consists of rows/columns 1 to
ISPLIT( 1 ), the second of rows/columns ISPLIT( 1 )+1
through ISPLIT( 2 ), etc.
( The output array ISPLIT from SSTEBZ is expected here. )

ORFAC (input) REAL
 
ORFAC specifies which eigenvectors should be
orthogonalized. Eigenvectors that correspond to eigenvalues
which are within ORFAC*T of each other are to be
orthogonalized.

Z (output) REAL array, dimension (LDZ, M)
 
The computed eigenvectors. The eigenvector associated
with the eigenvalue W(i) is stored in the ith column of
Z. Any vector which fails to converge is set to its current
iterate after MAXITS iterations.

LDZ (input) INTEGER
 
The leading dimension of the array Z. LDZ >= max(1,N).

WORK (workspace) REAL array, dimension (5*N)
IWORK (workspace) INTEGER array, dimension (N)
IFAIL (output) INTEGER array, dimension (M)
 
On normal exit, all elements of IFAIL are zero.
If one or more eigenvectors fail to converge after
MAXITS iterations, then their indices are stored in
array IFAIL.

INFO (output) INTEGER
 
= 0: successful exit.
< 0: if INFO = i, the ith argument had an illegal value
> 0: if INFO = i, then i eigenvectors failed to converge
in MAXITS iterations. Their indices are stored in
array IFAIL.


PARAMETERS
MAXITS INTEGER, default = 5
 
The maximum number of iterations performed.

EXTRA INTEGER, default = 2
 
The number of iterations performed after norm growth
criterion is satisfied, should be at least 1.


ScaLAPACK version 1.7  SSTEIN2 (l)  13 August 2001 
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