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ENS336
Final Project 1
Sir Isaac Newton
Write a C# program to solve the following system of three non-liear equations in three
variables, using the Method of Newton-Raphson:
1
x3 + 3y =
sin2 (20)
y = e-*
y = x + In(0)
Start the iterations with the following initial guesses:
{1,1,1}T
Evaluate the partial derivatives required by the Jacobian Matrix using a centered finite
difference approximation.
Solve for the errors of each variable using simple Gaussian Elimination.
Proceed with the iterations until the following equation is satisfied:
Σ
abs() < 10-5
e) s
all variables
Your program must display the Jacobian matyrix and the "current" value of each of the
variables at every iteration.
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