slaed9(3) [debian man page]

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

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

       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:
	   November 2011

       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 3.4.1							  Sun May 26 2013						       slaed9.f(3)

Check Out this Related Man Page

SLAED9(l)								 )								 SLAED9(l)

NAME

       SLAED9 - find the roots of the secular equation, as defined by the values in D, Z, and RHO, between KSTART and KSTOP

SYNOPSIS

       SUBROUTINE SLAED9( K, KSTART, KSTOP, N, D, Q, LDQ, RHO, DLAMDA, W, S, LDS, INFO )

	   INTEGER	  INFO, K, KSTART, KSTOP, LDQ, LDS, N

	   REAL 	  RHO

	   REAL 	  D( * ), DLAMDA( * ), Q( LDQ, * ), S( LDS, * ), W( * )

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 appropri-
       ate calls to SLAED4 and then stores the new matrix of eigenvectors for use in calculating the next level of Z vectors.

ARGUMENTS

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

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

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

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

       Q       (workspace) REAL array, dimension (LDQ,N)

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

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

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

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

       INFO    (output) 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

FURTHER DETAILS

       Based on contributions by
	  Jeff Rutter, Computer Science Division, University of California
	  at Berkeley, USA

LAPACK version 3.0						   15 June 2000 							 SLAED9(l)

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