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 × 10-4. Show the detailed calculation of the first 3 iterations of each method. 1 x₁ + 2x₂ + 3 1 5 == -X3 1 1 1 -X₁ 32 1 1 7*2+ 5*3= 1 31 4 ·X3=== 12 17 60
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 × 10-4. Show the detailed calculation of the first 3 iterations of each method. 1 x₁ + 2x₂ + 3 1 5 == -X3 1 1 1 -X₁ 32 1 1 7*2+ 5*3= 1 31 4 ·X3=== 12 17 60
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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