SRC/dlaed5.f(3)            Library Functions Manual            SRC/dlaed5.f(3)

NAME
       SRC/dlaed5.f

SYNOPSIS
   Functions/Subroutines
       subroutine dlaed5 (i, d, z, delta, rho, dlam)
           DLAED5 used by DSTEDC. Solves the 2-by-2 secular equation.

Function/Subroutine Documentation
   subroutine dlaed5 (integer i, double precision, dimension( 2 ) d, double
       precision, dimension( 2 ) z, double precision, dimension( 2 ) delta,
       double precision rho, double precision dlam)
       DLAED5 used by DSTEDC. 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.

           D

                     D is DOUBLE PRECISION array, dimension (2)
                    The original eigenvalues.  We assume D(1) < D(2).

           Z

                     Z is DOUBLE PRECISION array, dimension (2)
                    The components of the updating vector.

           DELTA

                     DELTA is DOUBLE PRECISION array, dimension (2)
                    The vector DELTA contains the information necessary
                    to construct the eigenvectors.

           RHO

                     RHO is DOUBLE PRECISION
                    The scalar in the symmetric updating formula.

           DLAM

                     DLAM is DOUBLE PRECISION
                    The computed lambda_I, the I-th updated eigenvalue.

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Contributors:
           Ren-Cang Li, Computer Science Division, University of California at
           Berkeley, USA

       Definition at line 107 of file dlaed5.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                 SRC/dlaed5.f(3)