a) Use Gauss Seidel Method with X=[0 00 0]* to approximate the solution to the given linear system with an error tolerance of ɛ,-0.02 in the maximum magnitude norm (¥). Ensure convergence before starting to iterate. -x, - x, + 5x, + x, = 0 4x, +x2 - x3 + X4 =-2 x, +4x, - x, - x, =-1 X, - x, + x, +3x, =1 b) Solve the same set of equations with the same initial conditions and error tolerance using SOR Method with w-1.1.

a) Use Gauss Seidel Method with X=[0 00 0]* to approximate the solution to the given linear system with an error tolerance of ɛ,-0.02 in the maximum magnitude norm (¥). Ensure convergence before starting to iterate. -x, - x, + 5x, + x, = 0 4x, +x2 - x3 + X4 =-2 x, +4x, - x, - x, =-1 X, - x, + x, +3x, =1 b) Solve the same set of equations with the same initial conditions and error tolerance using SOR Method with w-1.1.

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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