zhegs2(l) [redhat man page]

ZHEGS2(l)								 )								 ZHEGS2(l)

NAME

       ZHEGS2 - reduce a complex Hermitian-definite generalized eigenproblem to standard form

SYNOPSIS

       SUBROUTINE ZHEGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, ITYPE, LDA, LDB, N

	   COMPLEX*16	  A( LDA, * ), B( LDB, * )

PURPOSE

       ZHEGS2 reduces a complex Hermitian-definite generalized eigenproblem to standard form.  If ITYPE = 1, the problem is A*x = lambda*B*x,
       and A is overwritten by inv(U')*A*inv(U) or inv(L)*A*inv(L')

       If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or
       B*A*x = lambda*x, and A is overwritten by U*A*U` or L'*A*L.

       B must have been previously factorized as U'*U or L*L' by ZPOTRF.

ARGUMENTS

       ITYPE   (input) INTEGER
	       = 1: compute inv(U')*A*inv(U) or inv(L)*A*inv(L');
	       = 2 or 3: compute U*A*U' or L'*A*L.

       UPLO    (input) CHARACTER
	       Specifies  whether  the	upper or lower triangular part of the Hermitian matrix A is stored, and how B has been factorized.  = 'U':
	       Upper triangular
	       = 'L':  Lower triangular

       N       (input) INTEGER
	       The order of the matrices A and B.  N >= 0.

       A       (input/output) COMPLEX*16 array, dimension (LDA,N)
	       On entry, the Hermitian matrix A.  If UPLO = 'U', the leading n by n upper triangular part of A contains the upper triangular  part
	       of the matrix A, and the strictly lower triangular part of A is not referenced.	If UPLO = 'L', the leading n by n lower triangular
	       part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced.

	       On exit, if INFO = 0, the transformed matrix, stored in the same format as A.

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

       B       (input) COMPLEX*16 array, dimension (LDB,N)
	       The triangular factor from the Cholesky factorization of B, as returned by ZPOTRF.

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

       INFO    (output) INTEGER
	       = 0:  successful exit.
	       < 0:  if INFO = -i, the i-th argument had an illegal value.

LAPACK version 3.0						   15 June 2000 							 ZHEGS2(l)

zhegs2.f(3)							      LAPACK							       zhegs2.f(3)

NAME

       zhegs2.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zhegs2 (ITYPE, UPLO, N, A, LDA, B, LDB, INFO)
	   ZHEGS2 reduces a Hermitian definite generalized eigenproblem to standard form, using the factorization results obtained from cpotrf
	   (unblocked algorithm).

Function/Subroutine Documentation
   subroutine zhegs2 (integerITYPE, characterUPLO, integerN, complex*16, dimension( lda, * )A, integerLDA, complex*16, dimension( ldb, * )B,
       integerLDB, integerINFO)
       ZHEGS2 reduces a Hermitian definite generalized eigenproblem to standard form, using the factorization results obtained from cpotrf
       (unblocked algorithm).

       Purpose:

	    ZHEGS2 reduces a complex Hermitian-definite generalized
	    eigenproblem to standard form.

	    If ITYPE = 1, the problem is A*x = lambda*B*x,
	    and A is overwritten by inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H)

	    If ITYPE = 2 or 3, the problem is A*B*x = lambda*x or
	    B*A*x = lambda*x, and A is overwritten by U*A*U**H or L**H *A*L.

	    B must have been previously factorized as U**H *U or L*L**H by ZPOTRF.

       Parameters:
	   ITYPE

		     ITYPE is INTEGER
		     = 1: compute inv(U**H)*A*inv(U) or inv(L)*A*inv(L**H);
		     = 2 or 3: compute U*A*U**H or L**H *A*L.

	   UPLO

		     UPLO is CHARACTER*1
		     Specifies whether the upper or lower triangular part of the
		     Hermitian matrix A is stored, and how B has been factorized.
		     = 'U':  Upper triangular
		     = 'L':  Lower triangular

	   N

		     N is INTEGER
		     The order of the matrices A and B.  N >= 0.

	   A

		     A is COMPLEX*16 array, dimension (LDA,N)
		     On entry, the Hermitian matrix A.	If UPLO = 'U', the leading
		     n by n upper triangular part of A contains the upper
		     triangular part of the matrix A, and the strictly lower
		     triangular part of A is not referenced.  If UPLO = 'L', the
		     leading n by n lower triangular part of A contains the lower
		     triangular part of the matrix A, and the strictly upper
		     triangular part of A is not referenced.

		     On exit, if INFO = 0, the transformed matrix, stored in the
		     same format as A.

	   LDA

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

	   B

		     B is COMPLEX*16 array, dimension (LDB,N)
		     The triangular factor from the Cholesky factorization of B,
		     as returned by ZPOTRF.

	   LDB

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

	   INFO

		     INFO is INTEGER
		     = 0:  successful exit.
		     < 0:  if INFO = -i, the i-th argument had an illegal value.

       Author:
	   Univ. of Tennessee

	   Univ. of California Berkeley

	   Univ. of Colorado Denver

	   NAG Ltd.

       Date:
	   September 2012

       Definition at line 128 of file zhegs2.f.

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

Version 3.4.2							  Tue Sep 25 2012						       zhegs2.f(3)