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 ɛs=0.02 in the maximum magnitude norm (X). Ensure convergence before starting to iterate. -X - x, + 5x, + x4 = 0 4.x, + x, – x, + X, =-2 X; + 4x, – x3 – x4 =-1 X, - X, + X3 +3x4 = 1 %3D b) Solve the same set of equations with the same initial conditions and error tolerance using SOR Method with w=1.1.
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 ɛs=0.02 in the maximum magnitude norm (X). Ensure convergence before starting to iterate. -X - x, + 5x, + x4 = 0 4.x, + x, – x, + X, =-2 X; + 4x, – x3 – x4 =-1 X, - X, + X3 +3x4 = 1 %3D b) Solve the same set of equations with the same initial conditions and error tolerance using SOR Method with w=1.1.
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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Question
Please solve only b).
![1. a) Use Gauss Seidel Method with X0=[0 0 0 0]™ to approximate the solution to the given
linear system with an error tolerance of Es=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, + x, +3x, =1
b) Solve the same set of equations with the same initial conditions and error tolerance
using SOR Method with w=1.1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa99ca2a8-3bbf-4887-be85-140ae027f009%2F1fc65160-68f2-4da5-9293-79bb5cef7ce8%2Fnykw36_processed.png&w=3840&q=75)
Transcribed Image Text:1. a) Use Gauss Seidel Method with X0=[0 0 0 0]™ to approximate the solution to the given
linear system with an error tolerance of Es=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, + x, +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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