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zeros of legendre's polynomial
n = input(' '); E = zeros(n,1); %% Setup the eigenvalue problem and solve; A = zeros(n,n); for i=1:n-1 A(i,i+1) = i/(sqrt(4*i*i-1)); end for i=2:n A(i,i-1) = A(i-1,i); end %% save the eigenvalue in the one dimensional %% vector of size n named E E = eig(A); fprintf('The roots are\n') for j = 1:n fprintf('%.12g\n',E(j)); end
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