zlaed0(l) [redhat man page]

ZLAED0(l)								 )								 ZLAED0(l)

NAME

       ZLAED0  -  the  divide and conquer method, ZLAED0 computes all eigenvalues of a symmetric tridiagonal matrix which is one diagonal block of
       those from reducing a dense or band Hermitian matrix and corresponding eigenvectors of the dense or band matrix

SYNOPSIS

       SUBROUTINE ZLAED0( QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS, RWORK, IWORK, INFO )

	   INTEGER	  INFO, LDQ, LDQS, N, QSIZ

	   INTEGER	  IWORK( * )

	   DOUBLE	  PRECISION D( * ), E( * ), RWORK( * )

	   COMPLEX*16	  Q( LDQ, * ), QSTORE( LDQS, * )

PURPOSE

       Using the divide and conquer method, ZLAED0 computes all eigenvalues of a symmetric tridiagonal matrix which is one diagonal block of those
       from reducing a dense or band Hermitian matrix and corresponding eigenvectors of the dense or band matrix.

ARGUMENTS

       QSIZ   (input) INTEGER
	      The dimension of the unitary matrix used to reduce the full matrix to tridiagonal form.  QSIZ >= N if ICOMPQ = 1.

       N      (input) INTEGER
	      The dimension of the symmetric tridiagonal matrix.  N >= 0.

       D      (input/output) DOUBLE PRECISION array, dimension (N)
	      On entry, the diagonal elements of the tridiagonal matrix.  On exit, the eigenvalues in ascending order.

       E      (input/output) DOUBLE PRECISION array, dimension (N-1)
	      On entry, the off-diagonal elements of the tridiagonal matrix.  On exit, E has been destroyed.

       Q      (input/output) COMPLEX*16 array, dimension (LDQ,N)
	      On entry, Q must contain an QSIZ x N matrix whose columns unitarily orthonormal. It is a part of the unitary matrix that reduces the
	      full dense Hermitian matrix to a (reducible) symmetric tridiagonal matrix.

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

       IWORK  (workspace) INTEGER array,
	      the dimension of IWORK must be at least 6 + 6*N + 5*N*lg N ( lg( N ) = smallest integer k such that 2^k >= N )

       RWORK  (workspace) DOUBLE PRECISION array,
	      dimension (1 + 3*N + 2*N*lg N + 3*N**2) ( lg( N ) = smallest integer k such that 2^k >= N )

	      QSTORE (workspace) COMPLEX*16 array, dimension (LDQS, N) Used to store parts of the eigenvector matrix when the updating matrix mul-
	      tiplies take place.

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

       INFO   (output) INTEGER
	      = 0:  successful exit.
	      < 0:  if INFO = -i, the i-th argument had an illegal value.
	      >  0:   The  algorithm  failed  to compute an eigenvalue while working on the submatrix lying in rows and columns INFO/(N+1) through
	      mod(INFO,N+1).

LAPACK version 3.0						   15 June 2000 							 ZLAED0(l)

claed0.f(3)							      LAPACK							       claed0.f(3)

NAME

       claed0.f -

SYNOPSIS

   Functions/Subroutines
       subroutine claed0 (QSIZ, N, D, E, Q, LDQ, QSTORE, LDQS, RWORK, IWORK, INFO)
	   CLAED0

Function/Subroutine Documentation
   subroutine claed0 (integerQSIZ, integerN, real, dimension( * )D, real, dimension( * )E, complex, dimension( ldq, * )Q, integerLDQ, complex,
       dimension( ldqs, * )QSTORE, integerLDQS, real, dimension( * )RWORK, integer, dimension( * )IWORK, integerINFO)
       CLAED0

       Purpose:

	    Using the divide and conquer method, CLAED0 computes all eigenvalues
	    of a symmetric tridiagonal matrix which is one diagonal block of
	    those from reducing a dense or band Hermitian matrix and
	    corresponding eigenvectors of the dense or band matrix.

       Parameters:
	   QSIZ

		     QSIZ is INTEGER
		    The dimension of the unitary matrix used to reduce
		    the full matrix to tridiagonal form.  QSIZ >= N if ICOMPQ = 1.

	   N

		     N is INTEGER
		    The dimension of the symmetric tridiagonal matrix.	N >= 0.

	   D

		     D is REAL array, dimension (N)
		    On entry, the diagonal elements of the tridiagonal matrix.
		    On exit, the eigenvalues in ascending order.

	   E

		     E is REAL array, dimension (N-1)
		    On entry, the off-diagonal elements of the tridiagonal matrix.
		    On exit, E has been destroyed.

	   Q

		     Q is COMPLEX array, dimension (LDQ,N)
		    On entry, Q must contain an QSIZ x N matrix whose columns
		    unitarily orthonormal. It is a part of the unitary matrix
		    that reduces the full dense Hermitian matrix to a
		    (reducible) symmetric tridiagonal matrix.

	   LDQ

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

	   IWORK

		     IWORK is INTEGER array,
		    the dimension of IWORK must be at least
				 6 + 6*N + 5*N*lg N
				 ( lg( N ) = smallest integer k
					     such that 2^k >= N )

	   RWORK

		     RWORK is REAL array,
					  dimension (1 + 3*N + 2*N*lg N + 3*N**2)
				   ( lg( N ) = smallest integer k
					       such that 2^k >= N )

	   QSTORE

		     QSTORE is COMPLEX array, dimension (LDQS, N)
		    Used to store parts of
		    the eigenvector matrix when the updating matrix multiplies
		    take place.

	   LDQS

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

	   INFO

		     INFO is INTEGER
		     = 0:  successful exit.
		     < 0:  if INFO = -i, the i-th argument had an illegal value.
		     > 0:  The algorithm failed to compute an eigenvalue while
			   working on the submatrix lying in rows and columns
			   INFO/(N+1) through mod(INFO,N+1).

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   November 2011

       Definition at line 145 of file claed0.f.

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

Version 3.4.1							  Sun May 26 2013						       claed0.f(3)