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GNU/Linux man pages

Livre :
Expressions régulières,
Syntaxe et mise en oeuvre :

ISBN : 978-2-7460-9712-4
EAN : 9782746097124
(Editions ENI)

GNU/Linux

CentOS 4.8

 i386

sdisna(l)
SDISNA

SDISNA

NAME
SYNOPSIS
PURPOSE
ARGUMENTS

NAME

SDISNA - compute the reciprocal condition numbers for the eigenvectors of a real symmetric or complex Hermitian matrix or for the left or right singular vectors of a general m-by-n matrix

SYNOPSIS

SUBROUTINE SDISNA(

JOB, M, N, D, SEP, INFO )

CHARACTER

JOB

INTEGER

INFO, M, N

REAL

D( * ), SEP( * )

PURPOSE

SDISNA computes the reciprocal condition numbers for the eigenvectors of a real symmetric or complex Hermitian matrix or for the left or right singular vectors of a general m-by-n matrix. The reciprocal condition number is the ’gap’ between the corresponding eigenvalue or singular value and the nearest other one.

The bound on the error, measured by angle in radians, in the I-th computed vector is given by

SLAMCH( ’E’ ) * ( ANORM / SEP( I ) )

where ANORM = 2-norm(A) = max( abs( D(j) ) ). SEP(I) is not allowed to be smaller than SLAMCH( ’E’ )*ANORM in order to limit the size of the error bound.

SDISNA may also be used to compute error bounds for eigenvectors of the generalized symmetric definite eigenproblem.

ARGUMENTS

JOB (input) CHARACTER*1

Specifies for which problem the reciprocal condition numbers should be computed:
= ’E’: the eigenvectors of a symmetric/Hermitian matrix;
= ’L’: the left singular vectors of a general matrix;
= ’R’: the right singular vectors of a general matrix.

M (input) INTEGER

The number of rows of the matrix. M >= 0.

N (input) INTEGER

If JOB = ’L’ or ’R’, the number of columns of the matrix, in which case N >= 0. Ignored if JOB = ’E’.

D (input) REAL array, dimension (M) if JOB = ’E’

dimension (min(M,N)) if JOB = ’L’ or ’R’ The eigenvalues (if JOB = ’E’) or singular values (if JOB = order. If singular values, they must be non-negative.

SEP (output) REAL array, dimension (M) if JOB = ’E’

dimension (min(M,N)) if JOB = ’L’ or ’R’ The reciprocal condition numbers of the vectors.

INFO (output) INTEGER

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

sdisna(l)