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 zhpgst.f(3) LAPACK zhpgst.f(3)

zhpgst.f -

# SYNOPSIS

## Functions/Subroutines

subroutine zhpgst (ITYPE, UPLO, N, AP, BP, INFO)

ZHPGST

# Function/Subroutine Documentation

## subroutine zhpgst (integerITYPE, characterUPLO, integerN, complex*16, dimension( * )AP, complex*16, dimension( * )BP, integerINFO)

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
NAG Ltd.
Date:
November 2011
Definition at line 114 of file zhpgst.f.

# Author

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