14. Recalling that the spectral radius of a square matrix A is p(A) = max; A;. build the Hilbert matrix A of order n = 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,: O4.2284e-05 O 9.2136e07 O2.4567e 10 - 4.8734e08 O5.5146e-09

14. Recalling that the spectral radius of a square matrix A is p(A) = max; A;. build the Hilbert matrix A of order n = 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,: O4.2284e-05 O 9.2136e07 O2.4567e 10 - 4.8734e08 O5.5146e-09

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.8P

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