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Introduction

Adil M. Bagirov (), Manlio Gaudioso (), Napsu Karmitsa (), Marko M. Mäkelä () and Sona Taheri ()
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Adil M. Bagirov: Federation University, School of Science, Engineering and Information Technology
Manlio Gaudioso: Modellistica, Elettronica e Sistemistica, Università della Calabria, Dipartimento di Ingegneria Informatica
Napsu Karmitsa: Department of Mathematics and Statistics, University of Turku
Marko M. Mäkelä: Department of Mathematics and Statistics, University of Turku
Sona Taheri: Federation University, School of Science, Engineering and Information Technology

Chapter Chapter 1 in Numerical Nonsmooth Optimization, 2020, pp 1-16 from Springer

Abstract: Abstract Nonsmooth optimization (NSO) is among the most challenging tasks in the field of mathematical programming. It addresses optimization problems where objective and/or constraint functions have discontinuous gradients. NSO problems arise in many real life applications. Moreover, some smooth optimization techniques like different decomposition methods, dual formulations and exact penalty methods may lead us to solve NSO problems being either smaller in dimension or simpler in structure. In addition, some optimization problems may be analytically smooth but numerically nonsmooth. This is the case, for instance, with noisy input data and so-called stiff problems, which are numerically unstable and behave like nonsmooth problems.

Date: 2020
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DOI: 10.1007/978-3-030-34910-3_1

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