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Given the system of linear equations 1.2x2.3y + 0.24z = - -1.2x +0.2y + 3.0z = 7.40 3.4x + 0.5y + 1.4z = -0.10 k Q 1. Set-up the equations to be used for the Gauss-Seidel method . Use Gauss-Seidel method to solve the system of equations until L'-norm of Ax < 10-4. Show solution for the first two iteration. Show your complete iteration table using this format X - 3.02 y Z Ax

Given the system of linear equations 1.2x2.3y + 0.24z = - -1.2x +0.2y + 3.0z = 7.40 3.4x + 0.5y + 1.4z = -0.10 k Q 1. Set-up the equations to be used for the Gauss-Seidel method . Use Gauss-Seidel method to solve the system of equations until L'-norm of Ax < 10-4. Show solution for the first two iteration. Show your complete iteration table using this format X - 3.02 y Z Ax

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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Given the system of linear equations a. Set-up the equations to be used for the Gauss-Seidel method b. Use Gauss-Seidel method to solve the system of equations until L¹-norm of Ax < 10-4. Show the complete solution for the first two iteration. Show your complete iteration table using this format k 0 1 2 k 1.2x2.3y + 0.24z = - 3.02 -1.2x +0.2y + 3.0z = 7.40 3.4x + 0.5y + 1.4z = -0.10 0 1 2 X c. Set-up the equations to be used for the Relaxation method. d. Use Relaxation method (@= 0.98) to solve the system of equations until L²-norm of Ax < 10-4. Show the complete solution for the first two iteration. Show your complete iteration table using this format. y X Z y Ax Z Ax
Transcribed Image Text:Given the system of linear equations a. Set-up the equations to be used for the Gauss-Seidel method b. Use Gauss-Seidel method to solve the system of equations until L¹-norm of Ax < 10-4. Show the complete solution for the first two iteration. Show your complete iteration table using this format k 0 1 2 k 1.2x2.3y + 0.24z = - 3.02 -1.2x +0.2y + 3.0z = 7.40 3.4x + 0.5y + 1.4z = -0.10 0 1 2 X c. Set-up the equations to be used for the Relaxation method. d. Use Relaxation method (@= 0.98) to solve the system of equations until L²-norm of Ax < 10-4. Show the complete solution for the first two iteration. Show your complete iteration table using this format. y X Z y Ax Z Ax
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