Using (a) Jacobi Iterative Method and (b) Gauss-Seidel Method, obtain the solution [12x₂ + 3x₂ −5x₂ = 1 3x₁ +7x₂ +13x₂ = 76 [x₂ +5x₂ + 3x₂ = 28 to the system 0 with [x1, x2, x3] x2, x²] = [1,0, 1] J.Do four iterations only for each and compute for the relative error on the fourth iteration.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 4CEXP
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Using (a) Jacobi Iterative Method and (b)
Gauss-Seidel Method, obtain the solution
[12x₂ + 3x₂ −5x3 =1
3x₁ +7x₂ +13x₂ = 76
[x₂ +5x₂+3x₂ = 28
to the system
0
with
[x1, x2, x3]
x2, x²]
= [1,0, 1]
J.Do four iterations
only for each and compute for the relative
error on the fourth iteration.
Transcribed Image Text:Using (a) Jacobi Iterative Method and (b) Gauss-Seidel Method, obtain the solution [12x₂ + 3x₂ −5x3 =1 3x₁ +7x₂ +13x₂ = 76 [x₂ +5x₂+3x₂ = 28 to the system 0 with [x1, x2, x3] x2, x²] = [1,0, 1] J.Do four iterations only for each and compute for the relative error on the fourth iteration.
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