ddisna (l)  Linux Man Pages
ddisna: 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 mbyn matrix
NAME
DDISNA  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 mbyn matrixSYNOPSIS
 SUBROUTINE DDISNA(
 JOB, M, N, D, SEP, INFO )
 CHARACTER JOB
 INTEGER INFO, M, N
 DOUBLE PRECISION D( * ), SEP( * )
PURPOSE
DDISNA 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 mbyn matrix. The reciprocal condition number is the aqgapaq between the corresponding eigenvalue or singular value and the nearest other one.The bound on the error, measured by angle in radians, in the Ith computed vector is given by
where ANORM = 2norm(A) = max( abs( D(j) ) ). SEP(I) is not allowed to be smaller than DLAMCH( aqEaq )*ANORM in order to limit the size of the error bound.
DDISNA 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:
= aqEaq: the eigenvectors of a symmetric/Hermitian matrix;
= aqLaq: the left singular vectors of a general matrix;
= aqRaq: 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 = aqLaq or aqRaq, the number of columns of the matrix, in which case N >= 0. Ignored if JOB = aqEaq.
 D (input) DOUBLE PRECISION array, dimension (M) if JOB = aqEaq
 dimension (min(M,N)) if JOB = aqLaq or aqRaq The eigenvalues (if JOB = aqEaq) or singular values (if JOB = aqLaq or aqRaq) of the matrix, in either increasing or decreasing order. If singular values, they must be nonnegative.
 SEP (output) DOUBLE PRECISION array, dimension (M) if JOB = aqEaq
 dimension (min(M,N)) if JOB = aqLaq or aqRaq The reciprocal condition numbers of the vectors.
 INFO (output) INTEGER

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