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In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, X2, . . . , X) = (0, 0, ... , 0). 9. X1 2x, = - 1 10. -x, + 4x, = 1 - %3D 3x, - 2x, = 2 12. х, + 3x, 2x, + x2 = 3 11. 2х, — 3х, -7 X3 = 5 х + 3x, — 10х, 9. 3x1 X2 = 5 3x1 X3 = 13 X2 + 2x3 1

In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, X2, . . . , X) = (0, 0, ... , 0). 9. X1 2x, = - 1 10. -x, + 4x, = 1 - %3D 3x, - 2x, = 2 12. х, + 3x, 2x, + x2 = 3 11. 2х, — 3х, -7 X3 = 5 х + 3x, — 10х, 9. 3x1 X2 = 5 3x1 X3 = 13 X2 + 2x3 1

Advanced Engineering Mathematics
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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In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, X2, . . . , X) = (0, 0, ... , 0). 9. X1 2x, = - 1 10. -x, + 4x, = 1 - %3D 3x, - 2x, = 2 12. х, + 3x, 2x, + x2 = 3 11. 2х, — 3х, -7 X3 = 5 х + 3x, — 10х, 9. 3x1 X2 = 5 3x1 X3 = 13 X2 + 2x3 1
Transcribed Image Text:In Exercises 9-12, show that the Gauss-Seidel method diverges for the given system using the initial approximation (x1, X2, . . . , X) = (0, 0, ... , 0). 9. X1 2x, = - 1 10. -x, + 4x, = 1 - %3D 3x, - 2x, = 2 12. х, + 3x, 2x, + x2 = 3 11. 2х, — 3х, -7 X3 = 5 х + 3x, — 10х, 9. 3x1 X2 = 5 3x1 X3 = 13 X2 + 2x3 1
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