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 ɛ,-0.02 in the maximum magnitude norm (|\). Ensure convergence before starting to iterate. - x, -x, +5x, + x, = 0 4x, + x, - x3 + x, =-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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a) Use Gauss Seidel Method with X0=[0 00 0j™ 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, + x, -x3 + x, = -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.
Transcribed Image Text:a) Use Gauss Seidel Method with X0=[0 00 0j™ 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, + x, -x3 + x, = -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.
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