Consider the following problem: minimize: f(x) subject to: € N

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 problem:
minimize: f(x)
subject to: æ Ε Ω
where
N = {(x, y) | x² + y² ≥ 2}
and f: R2 → R is given by f(x) = f(x, y) = 3x.
(a) Does the point (2,0) satisfy the FONC?
(b) Does the point (2, 0) satisfy the SONC?
(c) Is the point (2,0) a local minimizer?
Transcribed Image Text:Consider the following problem: minimize: f(x) subject to: æ Ε Ω where N = {(x, y) | x² + y² ≥ 2} and f: R2 → R is given by f(x) = f(x, y) = 3x. (a) Does the point (2,0) satisfy the FONC? (b) Does the point (2, 0) satisfy the SONC? (c) Is the point (2,0) a local minimizer?
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