1. a) Use Gauss Seidel Method with XO)=[0 0 0 0]' to approximate the solution to the given linear system with an error tolerance of ɛ=0.02 in the maximum magnitude norm (|X). Ensure convergence before starting to iterate. -x, - x, + 5x, +x, = 0 4x, + x, - x, + x, = -2 X; + 4x, – x, - x4 =-1 X - x, + x3 +3x, =1

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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1. a) Use Gauss Seidel Method with X=[0 0 0 0]™ to approximate the solution to the given
linear system with an error tolerance of ɛ,=0.02 in the maximum magnitude norm
(X). Ensure convergence before starting to iterate.
- x, - x, +5x, +x, = 0
4x, + x, – x, + x, = -2
x, + 4x, - x, - x4 =-1
X - x, +X3 +3x, =1
b) Solve the same set of equations with the same initial conditions and error tolerance
using SOR Method with w=1.1.
Transcribed Image Text:1. a) Use Gauss Seidel Method with X=[0 0 0 0]™ to approximate the solution to the given linear system with an error tolerance of ɛ,=0.02 in the maximum magnitude norm (X). Ensure convergence before starting to iterate. - x, - x, +5x, +x, = 0 4x, + x, – x, + x, = -2 x, + 4x, - x, - x4 =-1 X - x, +X3 +3x, =1 b) Solve the same set of equations with the same initial conditions and error tolerance using SOR Method with w=1.1.
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