📄 demo1.m
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% Calling the joint approximate diagonalization function.
m=5 % dimension
n=3 % number of matrices
seuil = 1.0e-12; % precision on joint diag
compteur=0;
while 1 ; compteur=compteur+1;
% drawing a `random' unitary matrix
U= randn(m)+i*randn(m) ; [U,to_waste]=eig(U+U');
% Drawing a random set of commuting matrices
A=zeros(m,m*n);
for imat=1:n
cols = 1+(imat-1)*m:imat*m;
A(:,cols) = U*diag(randn(m,1)+i*randn(m,1))*U';
end;
% Perturbation of the joint structure ?
% A = A + 0.001*randn(m,m*n);
%% Do it
[ V , DD ] = joint_diag(A,seuil);
%% should be permutation matrix
abs(V'*U)
end
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