SRC/zhpgst.f(3) Library Functions Manual SRC/zhpgst.f(3)

SRC/zhpgst.f


subroutine zhpgst (itype, uplo, n, ap, bp, info)
ZHPGST

ZHPGST

Purpose:

!>
!> ZHPGST 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 ZPPTRF.
!> 

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*16 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*16 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 ZPPTRF.
!> 

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 112 of file zhpgst.f.

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