function info = trytime(A); % TRYTIME : time SUPERLU with 3 outputs against Matlab's LU % % info = trytime(A); % normally info is ||P*A*x-L*U*x|| / ||A|| (for a random x); % but info is at least 10^6 if the factors are not triangular, % or the permutation isn't a permutation. % Copyright (c) 1995 by Xerox Corporation. All rights reserved. % HELP COPYRIGHT for complete copyright and licensing notice. n = max(size(A)); info = 0; format compact disp('SUPERLU with 3 outputs:'); tic;[L,U,P]=lu(A);t1=toc; fprintf('LU time = %d seconds.\n',t1); tic;[l,u,pr]=superlu(A);t2=toc; fprintf('SUPERLU time = %d seconds.\n',t2); ratio = t1/t2; fprintf('Ratio = %d\n',ratio); if any(any(triu(l,1))) disp('L is *NOT* lower triangular.'); info = info + 10^6; else disp('L is lower triangular.'); end; if nnz(l) == nnz(l+l) disp('L has no explicit zeros.'); else disp('L contains explicit zeros.'); info = info+10^6; end; if any(any(tril(u,-1))) disp('U is *NOT* upper triangular.'); info = info + 10^6; else disp('U is upper triangular.'); end; if nnz(u) == nnz(u+u) disp('U has no explicit zeros.'); else disp('U contains explicit zeros.'); info = info+10^6; end; if pr == [1:n] disp('PROW is the identity permutation.'); elseif isperm(pr) disp('PROW is a non-identity permutation.'); else disp('PROW is *NOT* a permutation.'); info = info + 10^6; end; x = rand(n,1); rnorm = norm(A(pr,:)*x - l*(u*x),inf)/norm(A,inf); fprintf(1,'||A(PROW,:)*x - L*U*x||/||A|| = %d\n', rnorm); info = info + rnorm; disp(' ');