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LAPACK
3.7.0
LAPACK: Linear Algebra PACKage
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subroutine zhet01_3 | ( | character | UPLO, |
integer | N, | ||
complex*16, dimension( lda, * ) | A, | ||
integer | LDA, | ||
complex*16, dimension( ldafac, * ) | AFAC, | ||
integer | LDAFAC, | ||
complex*16, dimension( * ) | E, | ||
integer, dimension( * ) | IPIV, | ||
complex*16, dimension( ldc, * ) | C, | ||
integer | LDC, | ||
double precision, dimension( * ) | RWORK, | ||
double precision | RESID | ||
) |
ZHET01_3
ZHET01_3 reconstructs a Hermitian indefinite matrix A from its block L*D*L' or U*D*U' factorization computed by ZHETRF_RK (or ZHETRF_BK) and computes the residual norm( C - A ) / ( N * norm(A) * EPS ), where C is the reconstructed matrix and EPS is the machine epsilon.
[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*16 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] | AFAC | AFAC is COMPLEX*16 array, dimension (LDAFAC,N) Diagonal of the block diagonal matrix D and factors U or L as computed by ZHETRF_RK and ZHETRF_BK: a) ONLY diagonal elements of the Hermitian block diagonal matrix D on the diagonal of A, i.e. D(k,k) = A(k,k); (superdiagonal (or subdiagonal) elements of D should be provided on entry in array E), and b) If UPLO = 'U': factor U in the superdiagonal part of A. If UPLO = 'L': factor L in the subdiagonal part of A. |
[in] | LDAFAC | LDAFAC is INTEGER The leading dimension of the array AFAC. LDAFAC >= max(1,N). |
[in] | E | E is COMPLEX*16 array, dimension (N) On entry, contains the superdiagonal (or subdiagonal) elements of the Hermitian block diagonal matrix D with 1-by-1 or 2-by-2 diagonal blocks, where If UPLO = 'U': E(i) = D(i-1,i),i=2:N, E(1) not refernced; If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced. |
[in] | IPIV | IPIV is INTEGER array, dimension (N) The pivot indices from ZHETRF_RK (or ZHETRF_BK). |
[out] | C | C is COMPLEX*16 array, dimension (LDC,N) |
[in] | LDC | LDC is INTEGER The leading dimension of the array C. LDC >= max(1,N). |
[out] | RWORK | RWORK is DOUBLE PRECISION array, dimension (N) |
[out] | 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 ) |
Definition at line 143 of file zhet01_3.f.