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
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.21P
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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,:
O4.2284e 05
-
9.2136e-07
2.4567e-
4.8734e08
O5.5146e
-
-
10
09](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ceb3da5-f8bc-4b4f-9414-2cdb0a333d41%2F56e916fc-9db0-41ba-996c-579a6fb31f79%2F308fnab_processed.png&w=3840&q=75)
Transcribed Image Text: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,:
O4.2284e 05
-
9.2136e-07
2.4567e-
4.8734e08
O5.5146e
-
-
10
09
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