Numerical Analysis
Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
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Differential Equations
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Chapter 13.2, Problem 1CP

Use Newton’s Method to find the minimum of f ( x , y ) = e − x 2 y 2 + ( x − 1 ) 2 + ( y − 1 ) 2 . Try various initial conditions, and compare answers. How many correct digits can you obtain with this method?

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Chapter 13 Solutions

Numerical Analysis

Ch. 13.1 - Prove that the functions are unimodal on some...Ch. 13.1 - Find the absolute minimum in the given intervals...Ch. 13.1 - Plot the function y=f(x) , and find a length-one...Ch. 13.1 - Apply Successive Parabolic Interpolation to the...Ch. 13.1 - Find the point on the hyperbola y=1/x closest to...Ch. 13.1 - Find the point on the ellipse 4x2+9y2=4 farthest...Ch. 13.1 - Prob. 5CPCh. 13.1 - Prob. 6CPCh. 13.1 - Prob. 7CPCh. 13.1 - Prob. 8CP
Ch. 13.2 - Use Newtons Method to find the minimum of...Ch. 13.2 - Prob. 2CPCh. 13.2 - Find the minimum of the Rosenbrock function...Ch. 13.2 - Prob. 4CPCh. 13.2 - Prob. 5CPCh. 13.2 - Prob. 6CP
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