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RedHat 9 (Linux i386) - man page for zhegst (redhat section l)

ZHEGST(l)					)					ZHEGST(l)

NAME
       ZHEGST - reduce a complex Hermitian-definite generalized eigenproblem to standard form

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

	   CHARACTER	  UPLO

	   INTEGER	  INFO, ITYPE, LDA, LDB, N

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

PURPOSE
       ZHEGST 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.

ARGUMENTS
       ITYPE   (input) 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    (input) CHARACTER
	       = 'U':  Upper triangle of A is stored and B is factored as U**H*U; =  'L':   Lower
	       triangle of A is stored and B is factored as L*L**H.

       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 trian-
	       gular 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 				ZHEGST(l)


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