Numerical Solutions of Realistic Nonlinear Phenomena by J. A. Tenreiro Machado & Necati Özdemir & Dumitru Baleanu

Author:J. A. Tenreiro Machado & Necati Özdemir & Dumitru Baleanu
Language: eng
Format: epub
ISBN: 9783030371418
Publisher: Springer International Publishing

:

the current local minimizer of f(x),

x ∗  :

the global minimizer of f(x),

:

the basin of f(x) at the local minimizer .

We indicate the following definitions:

Definition 7.1 ([34])

Let Ω ⊂ R n. A point x ∗∈ Ω is a global minimizer of objective function f(x) if f(x ∗) ≤ f(x) for all x ∈ Ω,

Definition 7.2 ([34])

Let is a local minimizer of the objective function f(x). The set of points is called a basin of f(x) at the point if any local solver starting from any point in finds the local minimizer .

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