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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
100%
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
1
x₁ +
·x₂ +
x3 =
2
3
1
+
4
1
1
1
3x + x₂ +
4 5
+
-13
x3 =
855424
60
Transcribed Image Text: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 1 x₁ + ·x₂ + x3 = 2 3 1 + 4 1 1 1 3x + x₂ + 4 5 + -13 x3 = 855424 60
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