redhat man page for dlaed5

Query: dlaed5

OS: redhat

Section: l

Format: Original Unix Latex Style Formatted with HTML and a Horizontal Scroll Bar

DLAED5(l)								 )								 DLAED5(l)

NAME
DLAED5 - subroutine computes the I-th eigenvalue of a symmetric rank-one modification of a 2-by-2 diagonal matrix diag( D ) + RHO * Z * transpose(Z)
SYNOPSIS
SUBROUTINE DLAED5( I, D, Z, DELTA, RHO, DLAM ) INTEGER I DOUBLE PRECISION DLAM, RHO DOUBLE PRECISION D( 2 ), DELTA( 2 ), Z( 2 )
PURPOSE
This subroutine computes the I-th eigenvalue of a symmetric rank-one modification of a 2-by-2 diagonal matrix diag( D ) + RHO * Z * trans- pose(Z) . The diagonal elements in the array D are assumed to satisfy D(i) < D(j) for i < j . We also assume RHO > 0 and that the Euclidean norm of the vector Z is one.
ARGUMENTS
I (input) INTEGER The index of the eigenvalue to be computed. I = 1 or I = 2. D (input) DOUBLE PRECISION array, dimension (2) The original eigenvalues. We assume D(1) < D(2). Z (input) DOUBLE PRECISION array, dimension (2) The components of the updating vector. DELTA (output) DOUBLE PRECISION array, dimension (2) The vector DELTA contains the information necessary to construct the eigenvectors. RHO (input) DOUBLE PRECISION The scalar in the symmetric updating formula. DLAM (output) DOUBLE PRECISION The computed lambda_I, the I-th updated eigenvalue.
FURTHER DETAILS
Based on contributions by Ren-Cang Li, Computer Science Division, University of California at Berkeley, USA LAPACK version 3.0 15 June 2000 DLAED5(l)
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