Overview

This book, mostly review chapters, is a collection of recent results in different aspects of nonsmooth analysis related to, connected with or inspired by quasidifferential calculus. Some applications to various problems of mechanics and mathematics are discussed; numerical algorithms are described and compared; open problems are presented and studied. The goal of the book is to provide up-to-date information concerning quasidifferentiability and related topics. The state of the art in quasidifferential calculus is examined and evaluated by experts, both researchers and users. Quasidifferentiable functions were introduced in 1979 and the twentieth anniversary of this development provides a good occasion to appraise the impact, results and perspectives of the field. Audience: Specialists in optimization, mathematical programming, convex analysis, nonsmooth analysis, as well as engineers using mathematical tools and optimization techniques, and specialists in mathematical modeling.

Full Product Details

Author:   Vladimir F. Demyanov ,  Alexander M. Rubinov
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2000
Volume:   43
Weight:   0.712kg
ISBN:  

9781441948304

ISBN 10:   1441948309
Pages:   395
Publication Date:   09 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

An Introduction to Quasidifferential Calculus.- 2 Numerical Methods for Minimizing Quasidifferentiable Functions: A Survey and Comparison.- 3 Dual Representations of Classes of Positively Homogeneous Functions.- 4 Exhausters and Convexificators — New Tools in Nonsmooth Analysis.- 5 On Directional Differentiability of Marginal Functions in Quasidifferentiable Case.- 6 Optimality Conditions with Lagrange Multipliers for in Equality Constrained Quasidifferentiable Optimization.- 7 Strongly Differentiable Multifunctions and Directional Differentiability of Marginal Functions.- 8 Minimal Pairs of Compact Convex Sets, with Application to Quasidifferential Calculus.- 9 QD and DC Optimization for Pseudoelastic Modeling of Shape Memory Alloys.- 10 Radiant Sets and Their Gauges.- 11 Differences of Convex Compacta and Metric Spaces of Convex Compacta with Applications: A Survey.- 12 Convex Approximators, Convexificators and Exhausters: Applications to Constrained Extremum Problems.- 13 Approximations to Convex-Valued Multifunctions.- 14 Continuous Approximations, Codifferentiable Functions and Minimization Methods.

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