In your preferred programming language, code the Newton-Raphson method to find the stationar points of a nonlinear function. Please include your code with your hw submission. Use your implementation to find the stationary points of the following non-linear function W:(1, T2), W2(x1, T2), and W3(x1, 12): W:(x1, 2) = 2} + x W2(x1, 12) = xỉ + x% W3(r1, F2) = xỉ – xị + x3 – x; + 0.1x1T2 starting the following two initial guesses in each case: • 21 = 0.1, x2 = 0.1 %3D

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In your preferred programming language, code the Newton-Raphson method to find the stationary
points of a nonlinear function.
Please include your code with your hw submission.
Use your implementation to find the stationary points of the following non-linear functions
W:(x1, 82), W2(x1, T2), and W3(x1, 82):
W: (x1, 2) = xỉ + x
W2(x1, #2) = rỉ + x
W3(x1, 2) = x} – x† + x3 – x3 + 0.1x,r2
%3|
starting the following two initial guesses in each case:
• x1 = 0.1, x2 = 0.1
• x1 = 1.0, x2 = 1.0
For W1(x1, x2), W2(x1, X2), and W3(x1, 02) and for each initial guess, please report:
1. The function value.
2. The coordinates x1 and x2 of the function stationary point.
3. The plot of the function value as a function of the Newton-Raphson iteration.
Can anyone help me set this up? I will be
using MATLAB but am new to this type of
stuff so any help would be appreciated
Transcribed Image Text:In your preferred programming language, code the Newton-Raphson method to find the stationary points of a nonlinear function. Please include your code with your hw submission. Use your implementation to find the stationary points of the following non-linear functions W:(x1, 82), W2(x1, T2), and W3(x1, 82): W: (x1, 2) = xỉ + x W2(x1, #2) = rỉ + x W3(x1, 2) = x} – x† + x3 – x3 + 0.1x,r2 %3| starting the following two initial guesses in each case: • x1 = 0.1, x2 = 0.1 • x1 = 1.0, x2 = 1.0 For W1(x1, x2), W2(x1, X2), and W3(x1, 02) and for each initial guess, please report: 1. The function value. 2. The coordinates x1 and x2 of the function stationary point. 3. The plot of the function value as a function of the Newton-Raphson iteration. Can anyone help me set this up? I will be using MATLAB but am new to this type of stuff so any help would be appreciated
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