1. a) Use Gauss Seidel Method with X©=[0 0 0 0]™ to approximate the solution to the given linear system with an error tolerance of ɛs=0.02 in the maximum magnitude norm (X). Ensure convergence before starting to iterate. -X - x, + 5x, + x4 = 0 4.x, + x, – x, + X, =-2 X; + 4x, – x3 – x4 =-1 X, - X, + X3 +3x4 = 1 %3D b) Solve the same set of equations with the same initial conditions and error tolerance using SOR Method with w=1.1.
1. a) Use Gauss Seidel Method with X©=[0 0 0 0]™ to approximate the solution to the given linear system with an error tolerance of ɛs=0.02 in the maximum magnitude norm (X). Ensure convergence before starting to iterate. -X - x, + 5x, + x4 = 0 4.x, + x, – x, + X, =-2 X; + 4x, – x3 – x4 =-1 X, - X, + X3 +3x4 = 1 %3D 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 30E
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Please solve only b).
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