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Business & Management - Operations Research & Decision Theory | Introduction to Nonsmooth Optimization - Theory, Practice and Software

Introduction to Nonsmooth Optimization

Theory, Practice and Software

Bagirov, Adil, Karmitsa, Napsu, Mäkelä, Marko M.

2014, XVIII, 372 p. 72 illus.

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  • Attempts to be the first easy-to-read book about nonsmooth optimization
  • Covers both the theory and the numerical methods used in nonsmooth optimization and offers a survey of different problems arising in the field
  • Both, the theory and the most common problems are illustrated with examples making the book also suitable both for teaching purposes and self-access learning

This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable 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 different problems arising in the field. 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 field, it is also well suited as an independent learning guide for practitioners already familiar with the basics of optimization.

Content Level » Research

Keywords » Bundle methods - Nondifferentiable optimization - Nonsmooth analysis - Subgradient methods - Test problems

Related subjects » Applications - Mathematics - Operations Research & Decision Theory - Theoretical Computer Science

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