1. This matrix has eigenvalues 2 - √√2, 2, and 2+√√2: 2 -1 0 A = 2 −1 0 -1 2 Find the Jacobi matrix D-¹(-L-U) and the Gauss-Seidel matrix (D+L)¯¹(-U) and their eigenvalues, and the numbers @opt and Amax for SOR.
1. This matrix has eigenvalues 2 - √√2, 2, and 2+√√2: 2 -1 0 A = 2 −1 0 -1 2 Find the Jacobi matrix D-¹(-L-U) and the Gauss-Seidel matrix (D+L)¯¹(-U) and their eigenvalues, and the numbers @opt and Amax for SOR.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
Question
Kailashben
Transcribed Image Text:1. This matrix has eigenvalues 2 - √√2, 2, and 2+√√2:
2
-1
0
A
=
2
−1
0
-1 2
Find the Jacobi matrix D-¹(-L-U) and the Gauss-Seidel matrix (D+L)¯¹(-U)
and their eigenvalues, and the numbers @opt and Amax for SOR.
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