tahoma2d/thirdparty/superlu/SuperLU_4.1/MATLAB/try3.m
2016-03-24 01:31:57 +09:00

82 lines
2 KiB
Matlab

function info = try3(A,pin);
% TRY3 : test SUPERLU with 3 outputs
%
% info = try3(A,pin);
% normally info is the residual norm;
% 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;
if nargin == 1
[l,u,pr] = superlu(A);
elseif nargin == 2
[l,u,pr] = superlu(A,pin);
else
error('requires 1 or 2 inputs');
end;
figure(2); spy(l); title('L');
figure(1); spy(u); title('U');
drawnow;
format compact
disp('SUPERLU with 3 outputs:');
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;
if nargin == 1
rnorm = norm(A(pr,:) - l*u,inf);
fprintf(1,'||A(PROW,:) - L*U|| = %d\n', rnorm);
elseif size(pin) == [n n]
rnorm = norm(A(pr,:)*pin' - l*u,inf);
fprintf(1,'||A(PROW,:)*PIN'' - L*U|| = %d\n', rnorm);
elseif max(size(pin)) == n
rnorm = norm(A(pr,pin) - l*u,inf);
fprintf(1,'||A(PROW,PIN) - L*U|| = %d\n', rnorm);
if pr == pin
disp('PROW is the same as the input permutation.');
else
disp('PROW is different from the input permutation.');
end;
else
rnorm = norm(A(pr,:) - l*u,inf);
fprintf(1,'||A(PROW,:) - L*U|| = %d\n', rnorm);
end;
info = info + rnorm;
disp(' ');