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Recalling that the spectral radius of a square matrix A is p A max A...

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Algebra

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Recalling that the spectral radius of a square matrix A is p A max A 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 2136e 07 X 4 8734e 08 2 4567e 10

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