Introduction to Nonsmooth Optimization (PDF)
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This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily di¿erentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics, and computational chemistry and physics. The book covers both the theory and the numerical methods used in NSO, and provides an overview of di¿erent problems arising in the ¿eld. It is organized into three parts:
1.convex and nonconvex analysis and the theory of NSO;
2.test problems and practical applications;
3.a guide to NSO software.
The book is ideal for anyone teaching or attending NSO courses. As an accessible introduction to the ¿eld, it is also well suited as an independent learning guide for practitioners already familiar with the basics of optimization.Napsu Karmitsa has been a Docent (Adjunct Professor) of Applied Mathematics at the Department of Mathematics and Statistics at the University of Turku, Finland, since 2011. She obtained her MSc decree in Organic Chemistry in 1998 and PhD degree in Scientific Computing in 2004 both from the University of Jyväskylä, Finland. At the moment, she holds a position of a postdoctoral fellow at the University of Turku. Her research is focused on nonsmooth optimization and analysis. Special emphasis is given to nonconvex, global and large-scale cases. She is also studying theory of generalized pseudo and quasiconvexities for nonsmooth functions and developing numerical methods for solving nonsmooth possible nonconvex and large-scale
Marko M. Mäkelä currently holds the full professorship in Applied Mathematics at the University Turku, Finland. He is also a vice head of the Department of Mathematics and Statistics at the University of Turku. He obtained his MSc degree in Applied Mathematics in 1986 and PhD degree in Scientific Computing in 1990 both from the University of Jyväskylä, Finland. He still holds a Docent (Adjunct Professor) position at the University of Jyväskylä. Prof. Mäkeläs' research is focused mainly on nonsmooth analysis and optimization. Special emphasis has been on nonsmooth and nonconvex analysis including optimality conditions and the theory of generalized (pseudo- and quasi-) convexities, together with designing numerical methods for nonsmooth nonconvex optimization, where the focus is on efficient implementation of these solution methods. In addition, his research interests include mixed integer nonlinear programming, multiobjective optimization, in particular interactive method, metaheuristics in global optimization and industrial applications. He is one of the developers of the interactive NIMBUS-method for multiobjective optimization working via the Internet. Furthermore, his previous book on Nonsmooth Optimization (World Scientific, 1992) coauthored with prof. Pekka Neittaanmäki has been one major textbook in the area of nonsmooth analysis and optimization.
- Autoren: Adil Bagirov , Napsu Karmitsa , Marko M. Mäkelä
- 2014, 2014, 372 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319081144
- ISBN-13: 9783319081144
- Erscheinungsdatum: 12.08.2014
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- Dateiformat: PDF
- Größe: 5.88 MB
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