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LAPACK
3.7.0
LAPACK: Linear Algebra PACKage
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subroutine chpt01 | ( | character | UPLO, |
integer | N, | ||
complex, dimension( * ) | A, | ||
complex, dimension( * ) | AFAC, | ||
integer, dimension( * ) | IPIV, | ||
complex, dimension( ldc, * ) | C, | ||
integer | LDC, | ||
real, dimension( * ) | RWORK, | ||
real | RESID | ||
) |
CHPT01
CHPT01 reconstructs a Hermitian indefinite packed 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.
[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 (N*(N+1)/2) The original Hermitian matrix A, stored as a packed triangular matrix. |
[in] | AFAC | AFAC is COMPLEX array, dimension (N*(N+1)/2) The factored form of the matrix A, stored as a packed triangular matrix. 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 CHPTRF. |
[in] | IPIV | IPIV is INTEGER array, dimension (N) The pivot indices from CHPTRF. |
[out] | C | C is COMPLEX array, dimension (LDC,N) |
[in] | LDC | LDC is INTEGER The leading dimension of the array C. LDC >= max(1,N). |
[out] | RWORK | RWORK is REAL array, dimension (N) |
[out] | RESID | RESID is REAL If UPLO = 'L', norm(L*D*L' - A) / ( N * norm(A) * EPS ) If UPLO = 'U', norm(U*D*U' - A) / ( N * norm(A) * EPS ) |
Definition at line 115 of file chpt01.f.