EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 15, Problem 10P

Given the following function,

f ( x , y ) = 8 x + x 2 + 12 y + 4 y 2 2 x y

use a software package to determine the minimum:

(a) Graphically.

(b) Numerically.

(c) Substitute the result of (b) back into the function to determine the minimum f ( x , y ) .

(d) Determine the Hessian and its determinant, and substitute the result of part (b) back into the latter to verify that a minimum has been detected.

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