chegst (l) - Linux Man Pages

chegst: reduces a complex Hermitian-definite generalized eigenproblem to standard form

NAME

CHEGST - reduces a complex Hermitian-definite generalized eigenproblem to standard form

SYNOPSIS

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

    
CHARACTER UPLO

    
INTEGER INFO, ITYPE, LDA, LDB, N

    
COMPLEX A( LDA, * ), B( LDB, * )

PURPOSE

CHEGST 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 CPOTRF.

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

= aqUaq: Upper triangle of A is stored and B is factored as U**H*U; = aqLaq: 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 array, dimension (LDA,N)
On entry, the Hermitian matrix A. If UPLO = aqUaq, 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 = aqLaq, 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 array, dimension (LDB,N)
The triangular factor from the Cholesky factorization of B, as returned by CPOTRF.
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