.TH "TESTING/LIN/zpot01.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME TESTING/LIN/zpot01.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBzpot01\fP (uplo, n, a, lda, afac, ldafac, rwork, resid)" .br .RI "\fBZPOT01\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine zpot01 (character uplo, integer n, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( ldafac, * ) afac, integer ldafac, double precision, dimension( * ) rwork, double precision resid)" .PP \fBZPOT01\fP .PP \fBPurpose:\fP .RS 4 .PP .nf !> !> ZPOT01 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\&. !> .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*16 array, dimension (LDAFAC,N) !> On entry, the factor L or U from the L * L**H or U**H * U !> factorization of A\&. !> Overwritten with the reconstructed matrix, and then with !> the difference L * L**H - A (or U**H * U - 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 \fIRWORK\fP .PP .nf !> RWORK is DOUBLE PRECISION array, dimension (N) !> .fi .PP .br \fIRESID\fP .PP .nf !> RESID is DOUBLE PRECISION !> If UPLO = 'L', norm(L * L**H - A) / ( N * norm(A) * EPS ) !> If UPLO = 'U', norm(U**H * 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 \fB105\fP of file \fBzpot01\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.