Consider the following system of equations. 5x-7y+7z= -2, -3x+6y +z = 2, 6x-y-7z=9. a) Find the solutions for the system of equations by using Jacobi and Gauss-Siedel iterations until two successive approximations are identical when rounded to three significant digits.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Consider the following system of equations.
5x-7y+7z= -2,
-3x+6y +z = 2,
6x-y-7z=9.
a)
Find the solutions for the system of equations by using Jacobi and Gauss-Siedel iterations until two
successive approximations are identical when rounded to three significant digits.
b)
Make some conclusions based on the comparison of convergence rate for both methods (Jacobi and
Gauss-Sidel)
Transcribed Image Text:Consider the following system of equations. 5x-7y+7z= -2, -3x+6y +z = 2, 6x-y-7z=9. a) Find the solutions for the system of equations by using Jacobi and Gauss-Siedel iterations until two successive approximations are identical when rounded to three significant digits. b) Make some conclusions based on the comparison of convergence rate for both methods (Jacobi and Gauss-Sidel)
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