Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 14, Problem 8P

Perform one iteration of the optimal gradient steepest descent method to locate the minimum of

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

using initial guesses x = 0 and y = 0 .

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Find values of a and b so that the function f(x) = x + ax + b has a local minimum at the point (7,-4). a = b =
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