cpot01.f3
Usage
Functions/Subroutines
subroutine cpot01 (uplo, n, a, lda, afac, ldafac, rwork, resid)
CPOT01
Function/Subroutine Documentation
subroutine cpot01 (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldafac, * ) afac, integer ldafac, real, dimension( * ) rwork, real resid)
CPOT01
Purpose:
!> !> CPOT01 reconstructs a Hermitian positive definite matrix A from !> its L*L' or U'*U factorization and computes the residual !> norm( L*L' - A ) / ( N * norm(A) * EPS ) or !> norm( U'*U - A ) / ( N * norm(A) * EPS ), !> where 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 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 array, dimension (LDAFAC,N) !> On entry, the factor L or U from the L * L**H or U**H * U !> factorization of A. !> Overwritten with the reconstructed matrix, and then with !> the difference L * L**H - A (or U**H * U - A). !>
LDAFAC
!> LDAFAC is INTEGER !> The leading dimension of the array AFAC. LDAFAC >= max(1,N). !>
RWORK
!> RWORK is REAL array, dimension (N) !>
RESID
!> RESID is REAL !> If UPLO = 'L', norm(L * L**H - A) / ( N * norm(A) * EPS ) !> If UPLO = 'U', norm(U**H * U - A) / ( N * norm(A) * EPS ) !>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Definition at line 105 of file cpot01.f.