Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm ofAx is less than or equal to Tol = 1 × 10-4. Show the detailed calculation of the first 3 iterations of each method.11x₁ +·x₂ +x3 =231+41113x + x₂ +4 5+-13x3 =85542460

Given: x1+12x2+13x3=5612x1+13x2+14x3=51213x1+14x2+15x3=1760 To find: Jacobi method Gauss siedel…

Answered: Use the Jacobi method and Gauss-Seidel…

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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Use the Jacobi method and Gauss-Seidel method to solve the following system until the L¹-norm of Ax is less than or equal to Tol = 1 x 10-4. Show the detailed calculation of the first 3 iterations of each method. 1 1 x₁ + X₂ + 1 ;*₁ + 3 x₂ + 1 x₂ + 4 1 1 x3 = 1 4 1 5 855094 X3 = 12 60