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slaed9.f(3)				      LAPACK				      slaed9.f(3)

NAME
       slaed9.f -

SYNOPSIS
   Functions/Subroutines
       subroutine slaed9 (K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO)
	   SLAED9 used by sstedc. Finds the roots of the secular equation and updates the
	   eigenvectors. Used when the original matrix is dense.

Function/Subroutine Documentation
   subroutine slaed9 (integerK, integerKSTART, integerKSTOP, integerN, real, dimension( * )D,
       real, dimension( ldq, * )Q, integerLDQ, realRHO, real, dimension( * )DLAMDA, real,
       dimension( * )W, real, dimension( lds, * )S, integerLDS, integerINFO)
       SLAED9 used by sstedc. Finds the roots of the secular equation and updates the
       eigenvectors. Used when the original matrix is dense.

       Purpose:

	    SLAED9 finds the roots of the secular equation, as defined by the
	    values in D, Z, and RHO, between KSTART and KSTOP.	It makes the
	    appropriate calls to SLAED4 and then stores the new matrix of
	    eigenvectors for use in calculating the next level of Z vectors.

       Parameters:
	   K

		     K is INTEGER
		     The number of terms in the rational function to be solved by
		     SLAED4.  K >= 0.

	   KSTART

		     KSTART is INTEGER

	   KSTOP

		     KSTOP is INTEGER
		     The updated eigenvalues Lambda(I), KSTART <= I <= KSTOP
		     are to be computed.  1 <= KSTART <= KSTOP <= K.

	   N

		     N is INTEGER
		     The number of rows and columns in the Q matrix.
		     N >= K (delation may result in N > K).

	   D

		     D is REAL array, dimension (N)
		     D(I) contains the updated eigenvalues
		     for KSTART <= I <= KSTOP.

	   Q

		     Q is REAL array, dimension (LDQ,N)

	   LDQ

		     LDQ is INTEGER
		     The leading dimension of the array Q.  LDQ >= max( 1, N ).

	   RHO

		     RHO is REAL
		     The value of the parameter in the rank one update equation.
		     RHO >= 0 required.

	   DLAMDA

		     DLAMDA is REAL array, dimension (K)
		     The first K elements of this array contain the old roots
		     of the deflated updating problem.	These are the poles
		     of the secular equation.

	   W

		     W is REAL array, dimension (K)
		     The first K elements of this array contain the components
		     of the deflation-adjusted updating vector.

	   S

		     S is REAL array, dimension (LDS, K)
		     Will contain the eigenvectors of the repaired matrix which
		     will be stored for subsequent Z vector calculation and
		     multiplied by the previously accumulated eigenvectors
		     to update the system.

	   LDS

		     LDS is INTEGER
		     The leading dimension of S.  LDS >= max( 1, K ).

	   INFO

		     INFO is INTEGER
		     = 0:  successful exit.
		     < 0:  if INFO = -i, the i-th argument had an illegal value.
		     > 0:  if INFO = 1, an eigenvalue did not converge

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Contributors:
	   Jeff Rutter, Computer Science Division, University of California at Berkeley, USA

       Definition at line 156 of file slaed9.f.

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

Version 3.4.2				 Tue Sep 25 2012			      slaed9.f(3)
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