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Motivation and Overview

In: Convex Analysis and Global Optimization

Author

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  • Hoang Tuy

    (Institute of Mathematics)

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.

Suggested Citation

  • Hoang Tuy, 2016. "Motivation and Overview," Springer Optimization and Its Applications, in: Convex Analysis and Global Optimization, edition 2, chapter 0, pages 127-149, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-31484-6_5
    DOI: 10.1007/978-3-319-31484-6_5
    as

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