Find a rearrangement of the following systemn 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): x(0). 21 — 2х2 + 3.хз — 10х4 40. | 10x1 – 2x2 + 3x3 + 4x4 10, x1 – 10x2 + 3x3 4х4 — 20, - - 1 + 212 — 10хз + 44 — 30. -

Find a rearrangement of the following systemn 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): x(0). 21 — 2х2 + 3.хз — 10х4 40. | 10x1 – 2x2 + 3x3 + 4x4 10, x1 – 10x2 + 3x3 4х4 — 20, - - 1 + 212 — 10хз + 44 — 30. -

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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Question

Find a rearrangement of the following systemn 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,
T1 — 10х2 + 3tз — 4г4 — 20,
-
1 + 212 — 10хз + 44 — 30.

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