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Given that f(x) = f(x₁, #2, #3) = x² + x1x2 + x2x3+13+nx, where is an integer, find the greatest integer n, such that the direction p = (-5, −5, 1) defines a descent property for the line search with the iteration X = (0,0,1) -5 -3

Given that f(x) = f(x₁, #2, #3) = x² + x1x2 + x2x3+13+nx, where is an integer, find the greatest integer n, such that the direction p = (-5, −5, 1) defines a descent property for the line search with the iteration X = (0,0,1) -5 -3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given that f(x) = f(x₁, x2, x3) = x² + x₁x2 + x2x3 + x1 x3 + x², where n is an integer, find the greatest integer n, such that the direction p = (-5, -5, 1) defines a descent property for the line search with the iteration X = (0,0,1) -3 -2 3
Transcribed Image Text:Given that f(x) = f(x₁, x2, x3) = x² + x₁x2 + x2x3 + x1 x3 + x², where n is an integer, find the greatest integer n, such that the direction p = (-5, -5, 1) defines a descent property for the line search with the iteration X = (0,0,1) -3 -2 3
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