Numerical Analysis, Books A La Carte Edition (3rd Edition)
Numerical Analysis, Books A La Carte Edition (3rd Edition)
3rd Edition
ISBN: 9780134697338
Author: Timothy Sauer
Publisher: PEARSON
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Chapter 13.2, Problem 3CP

Find the minimum of the Rosenbrock function f ( x , y ) = 100 ( y x 2 ) 2 + ( x 1 ) 2 by (a) Newtons Method and (b) Steepest Descent. Use starting guess (2, 2). After how many steps does the solution stop improving? Explain the difference in accuracy that is achieved.

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