/usr/share/freemat/toolbox/matrix/rank.m is in freemat-data 4.0-5.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 | % RANK RANK Calculate the Rank of a Matrix
%
% Usage
%
% Returns the rank of a matrix. There are two ways to use
% the rank function is
%
% y = rank(A,tol)
%
% where tol is the tolerance to use when computing the
% rank. The second form is
%
% y = rank(A)
%
% in which case the tolerance tol is chosen as
%
% tol = max(size(A))*max(s)*eps,
%
% where s is the vector of singular values of A. The
% rank is computed using the singular value decomposition svd.
% Copyright (c) 2005 Samit Basu
% Licensed under the GPL
function y = rank(A,tol)
if (isempty(A))
y = 0;
return;
end
s = svd(A);
if (~isset('tol'))
tol = max(size(A))*s(1)*teps(A);
end
y = sum(s>tol);
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