chpgst man page on Scientific

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CHPGST(1)		 LAPACK routine (version 3.2)		     CHPGST(1)

NAME
       CHPGST  - reduces a complex Hermitian-definite generalized eigenproblem
       to standard form, using packed storage

SYNOPSIS
       SUBROUTINE CHPGST( ITYPE, UPLO, N, AP, BP, INFO )

	   CHARACTER	  UPLO

	   INTEGER	  INFO, ITYPE, N

	   COMPLEX	  AP( * ), BP( * )

PURPOSE
       CHPGST reduces a complex Hermitian-definite generalized eigenproblem to
       standard	 form, using packed storage.  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 CPPTRF.

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*1
	       = '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.

       AP      (input/output) COMPLEX array, dimension (N*(N+1)/2)
	       On entry, the upper or lower triangle of the  Hermitian	matrix
	       A,  packed  columnwise in a linear array.  The j-th column of A
	       is stored in the array AP as follows: if UPLO  =	 'U',  AP(i  +
	       (j-1)*j/2)  =  A(i,j)  for  1<=i<=j;  if	 UPLO  =  'L',	AP(i +
	       (j-1)*(2n-j)/2) = A(i,j) for j<=i<=n.  On exit, if  INFO	 =  0,
	       the transformed matrix, stored in the same format as A.

       BP      (input) COMPLEX array, dimension (N*(N+1)/2)
	       The  triangular	factor	from  the Cholesky factorization of B,
	       stored in the same format as A, as returned by CPPTRF.

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

 LAPACK routine (version 3.2)	 November 2008			     CHPGST(1)
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