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Recalling that the spectral radius of a square matrix A is p(A) = max; ;, build the Hilbert matrix A of order n =
Recalling that the spectral radius of a square matrix A is p(A) = max; ;, build the Hilbert matrix A of order n = 14. Starting from the vector with all elements equal to 1, apply 4 iterations of the power method to compute an approximation of the spectral radius p(A). Then, use the Matlab function eig to compute the reference "exact" value. The relative error associated to the approximation of the spectral radius computed by the power method is, approximately,: 9.2136 - 07 4.8734e-08 2.4567e - 10
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