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# Hotelling Deflation Assume that the largest eigenvalue 1 in magnitude and an associated

ISBN: 9780534392000 331

## Solution for problem 9.2.17 Chapter 9-2

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Problem 9.2.17

Hotelling Deflation Assume that the largest eigenvalue 1 in magnitude and an associated eigenvector v(1) have been obtained for the n n symmetric matrix A. Show that the matrix B = A 1 (v(1))tv(1) v(1) (v(1) ) t has the same eigenvalues 2,... ,n as A, except that B has eigenvalue 0 with eigenvector v(1) instead of eigenvector 1. Use this deflation method to find 2 for each matrix in Exercise 5. Theoretically, this method can be continued to find more eigenvalues, but round-off error soon makes the effort worthless.

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##### ISBN: 9780534392000

The answer to “Hotelling Deflation Assume that the largest eigenvalue 1 in magnitude and an associated eigenvector v(1) have been obtained for the n n symmetric matrix A. Show that the matrix B = A 1 (v(1))tv(1) v(1) (v(1) ) t has the same eigenvalues 2,... ,n as A, except that B has eigenvalue 0 with eigenvector v(1) instead of eigenvector 1. Use this deflation method to find 2 for each matrix in Exercise 5. Theoretically, this method can be continued to find more eigenvalues, but round-off error soon makes the effort worthless.” is broken down into a number of easy to follow steps, and 90 words. This textbook survival guide was created for the textbook: Numerical Analysis (Available Titles CengageNOW) , edition: 8. This full solution covers the following key subjects: . This expansive textbook survival guide covers 69 chapters, and 1072 solutions. Numerical Analysis (Available Titles CengageNOW) was written by and is associated to the ISBN: 9780534392000. Since the solution to 9.2.17 from 9-2 chapter was answered, more than 211 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 9.2.17 from chapter: 9-2 was answered by , our top Calculus solution expert on 03/05/18, 08:28PM.

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Hotelling Deflation Assume that the largest eigenvalue 1 in magnitude and an associated

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