Numerical Analysis
Numerical Analysis
3rd Edition
ISBN: 9780134696454
Author: Sauer, Tim
Publisher: Pearson,
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Differential Equations
Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…
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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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