Check the convergence criteria of iterative methods for the solution of linear system and perform three iterations of Gauss- Seidel method to solve the system. -2x1 + x2 + 5x3 = 15 4x1 - 8x2 + x3 = -21 4x1 - x2 + x3 = 7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

 Check the convergence criteria of iterative methods for the solution of linear system and perform three iterations of Gauss- Seidel method to solve the system.

-2x+ x2 + 5x= 15

4x1 - 8x+ x= -21

4x- x+ x= 7

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