.TH "TESTING/LIN/chet01_3.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME TESTING/LIN/chet01_3.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBchet01_3\fP (uplo, n, a, lda, afac, ldafac, e, ipiv, c, ldc, rwork, resid)" .br .RI "\fBCHET01_3\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine chet01_3 (character uplo, integer n, complex, dimension( lda, * ) a, integer lda, complex, dimension( ldafac, * ) afac, integer ldafac, complex, dimension( * ) e, integer, dimension( * ) ipiv, complex, dimension( ldc, * ) c, integer ldc, real, dimension( * ) rwork, real resid)" .PP \fBCHET01_3\fP .PP \fBPurpose:\fP .RS 4 .PP .nf CHET01_3 reconstructs a Hermitian indefinite matrix A from its block L*D*L' or U*D*U' factorization computed by CHETRF_RK (or CHETRF_BK) and computes the residual norm( C - A ) / ( N * norm(A) * EPS ), where C is the reconstructed matrix and EPS is the machine epsilon\&. .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIUPLO\fP .PP .nf 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 .fi .PP .br \fIN\fP .PP .nf N is INTEGER The number of rows and columns of the matrix A\&. N >= 0\&. .fi .PP .br \fIA\fP .PP .nf A is COMPLEX*16 array, dimension (LDA,N) The original Hermitian matrix A\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of the array A\&. LDA >= max(1,N) .fi .PP .br \fIAFAC\fP .PP .nf AFAC is COMPLEX array, dimension (LDAFAC,N) Diagonal of the block diagonal matrix D and factors U or L as computed by CHETRF_RK and CHETRF_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\&. .fi .PP .br \fILDAFAC\fP .PP .nf LDAFAC is INTEGER The leading dimension of the array AFAC\&. LDAFAC >= max(1,N)\&. .fi .PP .br \fIE\fP .PP .nf E is COMPLEX 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 referenced; If UPLO = 'L': E(i) = D(i+1,i),i=1:N-1, E(N) not referenced\&. .fi .PP .br \fIIPIV\fP .PP .nf IPIV is INTEGER array, dimension (N) The pivot indices from CHETRF_RK (or CHETRF_BK)\&. .fi .PP .br \fIC\fP .PP .nf C is COMPLEX array, dimension (LDC,N) .fi .PP .br \fILDC\fP .PP .nf LDC is INTEGER The leading dimension of the array C\&. LDC >= max(1,N)\&. .fi .PP .br \fIRWORK\fP .PP .nf RWORK is REAL array, dimension (N) .fi .PP .br \fIRESID\fP .PP .nf 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 ) .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP .PP Definition at line \fB139\fP of file \fBchet01_3\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.