Question: Find a rearrangement of the following system that guarantees both te Jacobi iteration and the Gauss-Seidel iteration of this system will converge to the unique solution of the system for any x0: x1 – 2x2 + 3x3 – 10x4 = 40. 10x1 – 2x2 + 3x3 + 4x4 10, 11 — 10х9 + 3хз — 4г4 3D 20, T1+ 219 — 10хз + 4х4 30. -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question: Find a rearrangement of the following system that guarantees
both te Jacobi iteration and the Gauss-Seidel iteration of this system will
converge to the unique solution of the system for any x0:
x1 – 2x2 + 3x3 – 10x4 = 40.
10x1 – 2x2 + 3x3 + 4x4
10,
11 — 10х9 + 3хз — 4г4 3D 20,
T1+ 219 — 10хз + 4х4
30.
-
Transcribed Image Text:Question: Find a rearrangement of the following system that guarantees both te Jacobi iteration and the Gauss-Seidel iteration of this system will converge to the unique solution of the system for any x0: x1 – 2x2 + 3x3 – 10x4 = 40. 10x1 – 2x2 + 3x3 + 4x4 10, 11 — 10х9 + 3хз — 4г4 3D 20, T1+ 219 — 10хз + 4х4 30. -
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