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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.7: The Inverse Of A Matrix

Problem 31E

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