![]() |
LAPACK
3.7.0
LAPACK: Linear Algebra PACKage
|
subroutine cpot01 | ( | character | UPLO, |
integer | N, | ||
complex, dimension( lda, * ) | A, | ||
integer | LDA, | ||
complex, dimension( ldafac, * ) | AFAC, | ||
integer | LDAFAC, | ||
real, dimension( * ) | RWORK, | ||
real | RESID | ||
) |
CPOT01
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.
[in] | 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 |
[in] | N | N is INTEGER The number of rows and columns of the matrix A. N >= 0. |
[in] | A | A is COMPLEX array, dimension (LDA,N) The original Hermitian matrix A. |
[in] | LDA | LDA is INTEGER The leading dimension of the array A. LDA >= max(1,N) |
[in,out] | AFAC | AFAC is COMPLEX array, dimension (LDAFAC,N) On entry, the factor L or U from the L*L' or U'*U factorization of A. Overwritten with the reconstructed matrix, and then with the difference L*L' - A (or U'*U - A). |
[in] | LDAFAC | LDAFAC is INTEGER The leading dimension of the array AFAC. LDAFAC >= max(1,N). |
[out] | RWORK | RWORK is REAL array, dimension (N) |
[out] | RESID | RESID is REAL If UPLO = 'L', norm(L*L' - A) / ( N * norm(A) * EPS ) If UPLO = 'U', norm(U'*U - A) / ( N * norm(A) * EPS ) |
Definition at line 108 of file cpot01.f.