-2.3y + 0.24z = - - 3.0 2x+0.2y + 3.0z = 7.4C +0.5y + 1.4z = 0.10 uss-Seidel method stem of equations until L

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2BEXP
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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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