Question
You have an optimization problem of minimizing a nonlinear function f(x) subject to some constraints. You have found a local solution x* , with f(x*)
You have an optimization problem of minimizing a nonlinear function f(x) subject to some constraints. You have found a local solution x* , with f(x*) = 25.
(a) Suppose that f is a convex function, and the feasible set is a convex set. Is it possible to find a feasible solution x' with f(x') < 25?
(b) Suppose that f is a convex function, and the feasible set is a nonconvex set. Is it possible to find a feasible solution x' with f(x') < 25?
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Calculus Early Transcendentals
Authors: James Stewart
7th edition
538497904, 978-0538497909
