Jacobi and Gauss-Seidel iteration r

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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Subject:Numercial Method

1. (a) Use the Jacobi and Gauss-Seidel iteration method to approximate
the solution of the following system of linear equations. Continue the
iterations until two successive approximations are identical when rounded
to three significant digits. Comment on the results
5x, – 2x,
+ 3x3 = – 1
- 3x, + 9x, + X3
2
2x, –
X2 – 7x3 =
3
%3D
Transcribed Image Text:1. (a) Use the Jacobi and Gauss-Seidel iteration method to approximate the solution of the following system of linear equations. Continue the iterations until two successive approximations are identical when rounded to three significant digits. Comment on the results 5x, – 2x, + 3x3 = – 1 - 3x, + 9x, + X3 2 2x, – X2 – 7x3 = 3 %3D
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