Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Chapter 22.1, Problem 10P

CAS EXPERIMENT. Steepest Descent. (a) Write a program for the method.
(b) Apply your program to f x = x 1 2 + 4 x 2 2 , experimenting with respect to speed of convergence depending on the choice of x 0 .
c) Apply your program to f x = x 1 2 + x 2 4 and to f x = x 1 4 + x 2 4 , x 0 = 2 , 1 . Graph level curves and your path of descent. (Try to include graphing directly in your program.)

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