cpot01.f - Man Page
TESTING/LIN/cpot01.f
Synopsis
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.
Author
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Referenced By
The man page cpot01(3) is an alias of cpot01.f(3).
Tue Nov 28 2023 12:08:42 Version 3.12.0 LAPACK