chegs23
Part of chegs2.f(3).
Usage
Functions/Subroutines
subroutine chegs2 (itype, uplo, n, a, lda, b, ldb, info)
CHEGS2 reduces a Hermitian definite generalized eigenproblem to standard form, using the factorization results obtained from cpotrf (unblocked algorithm).
Function/Subroutine Documentation
subroutine chegs2 (integer itype, character uplo, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldb, * ) b, integer ldb, integer info)
CHEGS2 reduces a Hermitian definite generalized eigenproblem to standard form, using the factorization results obtained from cpotrf (unblocked algorithm).
Purpose:
!> !> CHEGS2 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 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 array, dimension (LDB,N) !> The triangular factor from the Cholesky factorization of B, !> as returned by CPOTRF. !> B is modified by the routine but restored on exit. !>
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.
Definition at line 127 of file chegs2.f.
Releases
14 releases since Debian 1.3 (Bo); the text changed 10 times.