C) Apply Jacobi's or Gauss Seidel method to the given system. Take the zero vector as the initial approximation and work with four significant digit accuracy until two successive iterates agree within 0.001 in each variable. In each case, compare your answer with the exact solution found using any direct method you like. 3x1 - x2 = 1 -X1 +3x2 - X3 =0 -X2 +3X3 X4= 1 -X3 + 3x4=1
C) Apply Jacobi's or Gauss Seidel method to the given system. Take the zero vector as the initial approximation and work with four significant digit accuracy until two successive iterates agree within 0.001 in each variable. In each case, compare your answer with the exact solution found using any direct method you like. 3x1 - x2 = 1 -X1 +3x2 - X3 =0 -X2 +3X3 X4= 1 -X3 + 3x4=1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Please tell which method was used
To solve the problem. Jacob’s or Gauss Seidel method. And please write legible
Transcribed Image Text:C) Apply Jacobi's or Gauss Seidel method to the given system. Take the zero vector as the
initial approximation and work with four significant digit accuracy until two successive iterates
agree within 0.001 in each variable. In each case, compare your answer with the exact solution
found using any direct method you like.
3x1
- X2 = 1
-X1 +3x2 - X3 =0
-X2 +3X3 X4= 1
-X3 + 3x4=1
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