Minimize function f(x) by the gradient method with the backtracking line search. The gradient method should be executed with the following input and the initial condition: E = 10-5, a = 0.5, B = 0.5, s = 1, xo = (3, –5)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following function:
f(x) = (x³ + y)² + (-x+y – 2)ª, æ = (x, y) E R².
Transcribed Image Text:Consider the following function: f(x) = (x³ + y)² + (-x+y – 2)ª, æ = (x, y) E R².
(c) Minimize function f(x) by the gradient method with the backtracking line search.
The gradient method should be executed with the following input and the initial
condition:
E = 10-5,
a = 0.5,
B = 0.5,
s = 1,
ao = (3, –5)
Transcribed Image Text:(c) Minimize function f(x) by the gradient method with the backtracking line search. The gradient method should be executed with the following input and the initial condition: E = 10-5, a = 0.5, B = 0.5, s = 1, ao = (3, –5)
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