Given the system of equation below; 3x – 6y + 2z = 23 -4x + y – z = -8 x – 3y +7z = 17 Solve question 4b and 4c. O Computationally show that Gauss-Seidel method applied to the system of equations is divergent given the initial approximations as x = 0.9, y = -3.1, z = 0.9 How would you polish the above problem in other to achieve convergence? How will you terminate the above-named iterative procedure after convergence is achieved?

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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Given the system of equation below;
3x – 6y + 2z = 23
-4x + y – z = -8
x – 3y +7z = 17
Solve question 4b and 4c.
) Computationally show that Gauss-Seidel method applied to the system of
equations is divergent given the initial approximations as
x = 0.9, y = -3.1, z = 0.9
How would you polish the above problem in other to achieve convergence?
How will you terminate the above-named iterative procedure after convergence
is achieved?
Transcribed Image Text:Given the system of equation below; 3x – 6y + 2z = 23 -4x + y – z = -8 x – 3y +7z = 17 Solve question 4b and 4c. ) Computationally show that Gauss-Seidel method applied to the system of equations is divergent given the initial approximations as x = 0.9, y = -3.1, z = 0.9 How would you polish the above problem in other to achieve convergence? How will you terminate the above-named iterative procedure after convergence is achieved?
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