Apply Gauss-Seidel method with optimum arrangement of equations to ensure convergence to solve the following set of equations: X+ 8Y - 2Z = 9 -3X - Y- 7Z = -33 -10X + 2Y + 3Z = 6 Start frohf initial guess of X=Y=Z=0 till e, s 5% of any one of the variables, otherwise apply only 4 trials. Comment on the convergence of your results.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Apply Gauss-Seidel method with optimum arrangement of equations to ensure convergence to solve the
following set of equations:
X + 8Y – 2Z = 9
it of
-3X - Y- 7Z = -33
iestion
-10X + 2Y + 3Z = 6
Start frohf initial guess of X=Y=Z=0 till e, s 5% of any one of the variables, otherwise apply only 4 trials.
Comment on the convergence of your results.
X2
x
田
</>
Transcribed Image Text:Apply Gauss-Seidel method with optimum arrangement of equations to ensure convergence to solve the following set of equations: X + 8Y – 2Z = 9 it of -3X - Y- 7Z = -33 iestion -10X + 2Y + 3Z = 6 Start frohf initial guess of X=Y=Z=0 till e, s 5% of any one of the variables, otherwise apply only 4 trials. Comment on the convergence of your results. X2 x 田 </>
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