TESTING/LIN/zhet01.f(3) Library Functions Manual TESTING/LIN/zhet01.f(3) NAME TESTING/LIN/zhet01.f SYNOPSIS Functions/Subroutines subroutine zhet01 (uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid) ZHET01 Function/Subroutine Documentation subroutine zhet01 (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer ldafac, integer, dimension( * ) ipiv, complex*16, dimension( ldc, * ) c, integer ldc, double precision, dimension( * ) rwork, double precision resid) ZHET01 Purpose: ZHET01 reconstructs a Hermitian indefinite 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. 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*16 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*16 array, dimension (LDAFAC,N) The factored form of the matrix A. 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 ZHETRF. LDAFAC LDAFAC is INTEGER The leading dimension of the array AFAC. LDAFAC >= max(1,N). IPIV IPIV is INTEGER array, dimension (N) The pivot indices from ZHETRF. C C is COMPLEX*16 array, dimension (LDC,N) LDC LDC is INTEGER The leading dimension of the array C. LDC >= max(1,N). RWORK RWORK is DOUBLE PRECISION array, dimension (N) 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 ) Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. Definition at line 124 of file zhet01.f. Author Generated automatically by Doxygen for LAPACK from the source code. LAPACK Version 3.12.0 TESTING/LIN/zhet01.f(3)