5. Consider the following function: f(x1, x2) = -(x1 – 2)? – x1 – x3. %3D (a) Use the steepest descent algorithm to approximate the maximum of f. Use (2.5,1.5) as starting point, and perform at least 5 steps. (b) Find the maximum of f analytically.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. Consider the following function:
f(x1, x2) = -(x1- 2)2 – x1 – x3.
(a) Use the steepest descent algorithm to approximate the maximum of f. Use
(2.5,1.5) as starting point, and perform at least 5 steps.
(b) Find the maximum of f analytically.
Transcribed Image Text:5. Consider the following function: f(x1, x2) = -(x1- 2)2 – x1 – x3. (a) Use the steepest descent algorithm to approximate the maximum of f. Use (2.5,1.5) as starting point, and perform at least 5 steps. (b) Find the maximum of f analytically.
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