slaed5 (3) - Linux Manuals
NAME
slaed5.f -
SYNOPSIS
Functions/Subroutines
subroutine slaed5 (I, D, Z, DELTA, RHO, DLAM)
SLAED5 used by sstedc. Solves the 2-by-2 secular equation.
Function/Subroutine Documentation
subroutine slaed5 (integerI, real, dimension( 2 )D, real, dimension( 2 )Z, real, dimension( 2 )DELTA, realRHO, realDLAM)
SLAED5 used by sstedc. Solves the 2-by-2 secular equation.
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 * transpose(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.
Parameters:
-
I
I is INTEGER The index of the eigenvalue to be computed. I = 1 or I = 2.
DD is REAL array, dimension (2) The original eigenvalues. We assume D(1) < D(2).
ZZ is REAL array, dimension (2) The components of the updating vector.
DELTADELTA is REAL array, dimension (2) The vector DELTA contains the information necessary to construct the eigenvectors.
RHORHO is REAL The scalar in the symmetric updating formula.
DLAMDLAM is REAL The computed lambda_I, the I-th updated eigenvalue.
Author:
-
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date:
- September 2012
Contributors:
- Ren-Cang Li, Computer Science Division, University of California at Berkeley, USA
Definition at line 109 of file slaed5.f.
Author
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