Motivation and Overview

Hoang Tuy
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Hoang Tuy: Institute of Mathematics

Chapter Chapter 5 in Convex Analysis and Global Optimization, 2016, pp 127-149 from Springer

Abstract: Abstract The concept of global optimum is discussed versus that of local optimum. Many functions encountered in the applications possess multiple local minimizers (or maximizers) with distinct function values. Finding the global minimizer (or global maximixer) in such cases is often of considerable interest and at the same time a great challenge. Fortunately, most global optimization problems of practical interest fall into two basic classes: dc optimization, which deals with problems described by dc functions, and monotonic optimization, which is concerned with problems described by functions representable as differences of increasing functions. The study of these two basic classes of problems is the main theme of modern deterministic global optimization.

Keywords: Global Optimization Problem; Good Feasible Solution; Concave Minimization; Concave Minimization Problem; Monotonic Optimization (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-31484-6_5

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