Use the Gauss seidel method to solve the linear system. Use the initial approximation x° = [0 0 0]* , to compute an approximate solution accurate to within 10-3. Also, compute error using the l, Norm ( ||x*+1 – x* ||.). 4x1 + X2 – X3 = 5 -X1 + 3x2 + x3 = -4 2x1 + 2x2 + 5xX3 = 1

Use the Gauss seidel method to solve the linear system. Use the initial approximation x° = [0 0 0]* , to compute an approximate solution accurate to within 10-3. Also, compute error using the l, Norm ( ||x+1 – x ||.). 4x1 + X2 – X3 = 5 -X1 + 3x2 + x3 = -4 2x1 + 2x2 + 5xX3 = 1

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.5: Iterative Methods For Solving Linear Systems

Problem 5EQ

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Question

Use the Gauss seidel method to solve the linear system. Use the initial approximation x°
[00 0]* , to compute an approximate solution accurate to within 10-3. Also, compute error
using the l, Norm ( ||xk+1 – x*|l.).
4x1 + x2 – X3 = 5
-X1 + 3x2 + x3 = -4
2x1 + 2x2 + 5x3 = 1

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