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Generate the Hilbert matrix of order . S tarting from the unit vector, app...
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Generate the Hilbert matrix of order . Starting from the unit vector, apply iterations of the inverse power method, in order to compute an approximation of the eigenvalue that is the closest to . Then, use the MATLAB command eig to compute the reference ''exact'' value. The relative error associated to the approximation determined by the inverse power method is approximately:
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