Question 2 Consider the following function you had in your previous homework. f(x1, x2)=x-2x²x²+x² + − ² (a) Plot the function in 3D and 2D contour plots. (b) Minimize the function using the steepest descent method analytically (manual). Show the first three iterations. You can use a fixed step size of ak = 0.05 at each iteration. (c) Mark the manually calculated steepest descent points on your function plot(2) both in 3D and 2D contour plots.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 64PFA
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Question 2
Consider the following function you had in your previous homework.
f(x1, x2)=x-2x²x²+x² + − ²
(a) Plot the function in 3D and 2D contour plots.
(b) Minimize the function using the steepest descent method analytically
(manual). Show the first three iterations. You can use a fixed step size of
ak =
0.05 at each iteration.
(c) Mark the manually calculated steepest descent points on your function
plot(2) both in 3D and 2D contour plots.
Transcribed Image Text:Question 2 Consider the following function you had in your previous homework. f(x1, x2)=x-2x²x²+x² + − ² (a) Plot the function in 3D and 2D contour plots. (b) Minimize the function using the steepest descent method analytically (manual). Show the first three iterations. You can use a fixed step size of ak = 0.05 at each iteration. (c) Mark the manually calculated steepest descent points on your function plot(2) both in 3D and 2D contour plots.
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