i need Part C Solution 2. Hint: you may need to use a calculator.(a) Use the golden section method to find the minimizer of the function in Eq. (1) within interval[1,3]. Estimate in advance how many iterations are needed so that the range is smaller than0.2. Write down your procedure performed and the results in each step.f(x) = r* +x² – 4x°. ev(b) Use the secant method to find a minimizer of the function in Eq. (1) with initial points x° = 1%3Dand x' = 1.1. Write down the first five iterations, including the procedure performed and theresults obtained in each step.(c) Use the steepest gradient descent method (a.k.a. gradient descent with exact line search) tofind the minimizer off(x1,x2) = x} +x3,%3D

Answered: Image /qna-images/answer/e784b676-8707-487c-a409-5c6852d9fa3c.jpg

Answered: (c) Use the steepest gradient descent…

(c) Use the steepest gradient descent method (a.k.a. gradient descent with exact line search) to find the minimizer of f(x1,x2) = x} +x3, %3D

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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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

i need Part C Solution

2. Hint: you may need to use a calculator.
(a) Use the golden section method to find the minimizer of the function in Eq. (1) within interval
[1,3]. Estimate in advance how many iterations are needed so that the range is smaller than
0.2. Write down your procedure performed and the results in each step.
f(x) = r* +x² – 4x°. ev
(b) Use the secant method to find a minimizer of the function in Eq. (1) with initial points x° = 1
%3D
and x' = 1.1. Write down the first five iterations, including the procedure performed and the
results obtained in each step.
(c) Use the steepest gradient descent method (a.k.a. gradient descent with exact line search) to
find the minimizer of
f(x1,x2) = x} +x3,
%3D

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