slaed5(3F)

NAME
     SLAED5 - subroutine computes the I-th eigenvalue of a symmetric rank-one
     modification of a 2-by-2 diagonal matrix   diag( D ) + RHO  The diagonal
     elements in the array D are assumed to satisfy   D(i) < D(j) for i < j

SYNOPSIS
     SUBROUTINE SLAED5( I, D, Z, DELTA, RHO, DLAM )

         INTEGER        I

         REAL           DLAM, RHO

         REAL           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

     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) REAL array, dimension (2)
            The original eigenvalues.  We assume D(1) < D(2).

     Z      (input) REAL array, dimension (2)
            The components of the updating vector.

     DELTA  (output) REAL array, dimension (2)
            The vector DELTA contains the information necessary to construct
            the eigenvectors.

     RHO    (input) REAL
            The scalar in the symmetric updating formula.

     DLAM   (output) REAL
            The computed lambda_I, the I-th updated eigenvalue.