chpgst(3) [centos man page]

chpgst.f(3)							      LAPACK							       chpgst.f(3)

NAME

       chpgst.f -

SYNOPSIS

   Functions/Subroutines
       subroutine chpgst (ITYPE, UPLO, N, AP, BP, INFO)
	   CHPGST

Function/Subroutine Documentation
   subroutine chpgst (integerITYPE, characterUPLO, integerN, complex, dimension( * )AP, complex, dimension( * )BP, integerINFO)
       CHPGST

       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.

       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
		     = '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

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

	   AP

		     AP is 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

		     BP is 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

		     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:
	   November 2011

       Definition at line 114 of file chpgst.f.

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

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

Check Out this Related Man Page

CHPGST(l)								 )								 CHPGST(l)

NAME

       CHPGST - reduce 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
	       = '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 version 3.0						   15 June 2000 							 CHPGST(l)

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