Material : Numerical Analysis Q3: The Gauss-Seidel is considered to approximate the solution for the linear systemAx = b. Given0.5-0.250.5T.%3D0.125-0.250.50 -0.0625 0.125 -0.25exact solution is i=1 1 -1 1, with initial guess =0, and the second%3Dapproximations is re) = [1.375 0.375 -0.46875 0.734375]. In 1, norm, find1. the number of iterations necessary to achieve accuracy 10.2. the absolute error in approximating i using .

Given, Maximum absolute row sum of is Here, The first row sum is 0.5 The second row sum is 0.75…

Answered: Material : Numerical Analysis

Math

Advanced Math

Material : Numerical Analysis

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Material : Numerical Analysis

Q3: The Gauss-Seidel is considered to approximate the solution for the linear system
Ax = b. Given
0.5
-0.25
0.5
T.
%3D
0.125
-0.25
0.5
0 -0.0625 0.125 -0.25
exact solution is i=1 1 -1 1, with initial guess =0, and the second
%3D
approximations is re) = [1.375 0.375 -0.46875 0.734375]. In 1, norm, find
1. the number of iterations necessary to achieve accuracy 10.
2. the absolute error in approximating i using .

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