×
Log in to StudySoup
Get Full Access to Numerical Analysis - 10 Edition - Chapter 9.3 - Problem 23
Join StudySoup for FREE
Get Full Access to Numerical Analysis - 10 Edition - Chapter 9.3 - Problem 23

Already have an account? Login here
×
Reset your password

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

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 23 Chapter 9.3

Numerical Analysis | 10th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

4 5 1 374 Reviews
13
0
Problem 23

Hotelling Deflation Assume that the largest eigenvalue ai in magnitude and an associated eigenvector v (l) have been obtained for the n x n symmetric matrix A. Show that the matrix R - A - -v (1)tv(l) y (v"1 )'v"1 * ' hasthe same eigenvalues X2,... , as A, exceptthat B has eigenvalue 0 with eigenvector v < l) instead of eigenvector A|. Use this deflation method to find X2 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.

Step-by-Step Solution:
Step 1 of 3

Week 2 Day 1 Notes 8/29/16 – 8/31/16 6.2 Trigonometric Integrals and Substitutions Calculus II *Important to know trigonometric identities for this section* Using the Pythagorean identity ∫ sin ( )os x( ) Ex 1: sin2(x)=1−cos 2(x ) sin (¿¿2x) cos (x)sin x )dx u=cos (x) ∫ ¿ du=−sin (x)dx 2 cos (x) 1−¿ −du=sin (x)dx ¿ ¿ ∫ ¿ 2 u 1−¿ ¿ ¿ ∫ ¿ 2 4 6 −∫ (u −2u +u )du 3 5 7 − u −2

Step 2 of 3

Chapter 9.3, Problem 23 is Solved
Step 3 of 3

Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

Since the solution to 23 from 9.3 chapter was answered, more than 227 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10. The answer to “Hotelling Deflation Assume that the largest eigenvalue ai in magnitude and an associated eigenvector v (l) have been obtained for the n x n symmetric matrix A. Show that the matrix R - A - -v (1)tv(l) y (v"1 )'v"1 * ' hasthe same eigenvalues X2,... , as A, exceptthat B has eigenvalue 0 with eigenvector v < l) instead of eigenvector A|. Use this deflation method to find X2 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 94 words. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. The full step-by-step solution to problem: 23 from chapter: 9.3 was answered by , our top Math solution expert on 03/16/18, 03:24PM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

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