We want to create a random 20x20 circulant matrix. Please help!

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Ezgi
Ezgi 2013-12-5
编辑： Andrei Bobrov 2016-10-2
We want to generate a random 20x20 circulant matrix in MatLab. It should be symmetric. Then we should calculate its eigenvalues. We have no experience and this is our graduation project, so it's important for us. Please help!

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sixwwwwww
sixwwwwww 2013-12-5
you can do it as follows:
a = randi(100, 20, 1);
b = [];
for i = 1:20
b = [b, a];
a = circshift(a, 1);
end
disp(b)
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Emmanuel Ijiga
Emmanuel Ijiga 2016-10-2
编辑：Andrei Bobrov 2016-10-2
M = 20;
input = randi([0 15], 1, M); %Random Input values between 0 and 15
CM = zeros(M,M); %Initialize Circulant Matrix (CM)
CM(1,:) = input; %place the input values in the first row of CM
for kk = 1:(size(CM,1) - 1)
CM(kk+1,1) = CM(kk,end);
CM(kk+1,2:end) = CM([kk],[1:end - 1])
end

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