TESTING/LIN/zhet01.f(3) Library Functions Manual TESTING/LIN/zhet01.f(3)

TESTING/LIN/zhet01.f


subroutine zhet01 (uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)
ZHET01

ZHET01

Purpose:

!>
!> ZHET01 reconstructs a Hermitian indefinite matrix A from its
!> block L*D*L' or U*D*U' factorization and computes the residual
!>    norm( C - A ) / ( N * norm(A) * EPS ),
!> where C is the reconstructed matrix, EPS is the machine epsilon,
!> L' is the conjugate transpose of L, and U' is the conjugate transpose
!> of U.
!> 

Parameters

UPLO
!>          UPLO is CHARACTER*1
!>          Specifies whether the upper or lower triangular part of the
!>          Hermitian matrix A is stored:
!>          = 'U':  Upper triangular
!>          = 'L':  Lower triangular
!> 

N

!>          N is INTEGER
!>          The number of rows and columns of the matrix A.  N >= 0.
!> 

A

!>          A is COMPLEX*16 array, dimension (LDA,N)
!>          The original Hermitian matrix A.
!> 

LDA

!>          LDA is INTEGER
!>          The leading dimension of the array A.  LDA >= max(1,N)
!> 

AFAC

!>          AFAC is COMPLEX*16 array, dimension (LDAFAC,N)
!>          The factored form of the matrix A.  AFAC contains the block
!>          diagonal matrix D and the multipliers used to obtain the
!>          factor L or U from the block L*D*L' or U*D*U' factorization
!>          as computed by ZHETRF.
!> 

LDAFAC

!>          LDAFAC is INTEGER
!>          The leading dimension of the array AFAC.  LDAFAC >= max(1,N).
!> 

IPIV

!>          IPIV is INTEGER array, dimension (N)
!>          The pivot indices from ZHETRF.
!> 

C

!>          C is COMPLEX*16 array, dimension (LDC,N)
!> 

LDC

!>          LDC is INTEGER
!>          The leading dimension of the array C.  LDC >= max(1,N).
!> 

RWORK

!>          RWORK is DOUBLE PRECISION array, dimension (N)
!> 

RESID

!>          RESID is DOUBLE PRECISION
!>          If UPLO = 'L', norm(L*D*L' - A) / ( N * norm(A) * EPS )
!>          If UPLO = 'U', norm(U*D*U' - A) / ( N * norm(A) * EPS )
!> 

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 124 of file zhet01.f.

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