ZHEGS2(3F) ZHEGS2(3F)
ZHEGS2 - reduce a complex Hermitian-definite generalized eigenproblem to
standard form
SUBROUTINE ZHEGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO )
CHARACTER UPLO
INTEGER INFO, ITYPE, LDA, LDB, N
COMPLEX*16 A( LDA, * ), B( LDB, * )
ZHEGS2 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')*A*inv(U) or inv(L)*A*inv(L')
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` or L'*A*L.
B must have been previously factorized as U'*U or L*L' by ZPOTRF.
ITYPE (input) INTEGER
= 1: compute inv(U')*A*inv(U) or inv(L)*A*inv(L');
= 2 or 3: compute U*A*U' or L'*A*L.
UPLO (input) CHARACTER
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 (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 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.
Page 1
ZHEGS2(3F) ZHEGS2(3F)
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.
ZHEGS2(3F) ZHEGS2(3F)
ZHEGS2 - reduce a complex Hermitian-definite generalized eigenproblem to
standard form
SUBROUTINE ZHEGS2( ITYPE, UPLO, N, A, LDA, B, LDB, INFO )
CHARACTER UPLO
INTEGER INFO, ITYPE, LDA, LDB, N
COMPLEX*16 A( LDA, * ), B( LDB, * )
ZHEGS2 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')*A*inv(U) or inv(L)*A*inv(L')
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` or L'*A*L.
B must have been previously factorized as U'*U or L*L' by ZPOTRF.
ITYPE (input) INTEGER
= 1: compute inv(U')*A*inv(U) or inv(L)*A*inv(L');
= 2 or 3: compute U*A*U' or L'*A*L.
UPLO (input) CHARACTER
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 (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 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.
Page 1
ZHEGS2(3F) ZHEGS2(3F)
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.
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