Consider the 15 × 15 Hilbert matrix H. You can construct this matrix using the matlab command hilb(10). (a) Use the matlab function qr_shift to compute the eigenvalues of the Hilbert matrix H with tolerance 10-16 and maximum number of iterations 1000. How many iterations did qr_shift require?
Consider the 15 × 15 Hilbert matrix H. You can construct this matrix using the matlab command hilb(10). (a) Use the matlab function qr_shift to compute the eigenvalues of the Hilbert matrix H with tolerance 10-16 and maximum number of iterations 1000. How many iterations did qr_shift require?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter5: Orthogonality
Section5.3: The Gram-schmidt Process And The Qr Factorization
Problem 8BEXP
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