Overview

This collection, mostly review chapters, covers 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 20th anniversary of this development provides a good occasion to appraise the impact, results and perspectives of the field.

Full Product Details

Author:   Vladimir F. Demyanov ,  Alexander M. Rubinov
Publisher:   Springer
Imprint:   Springer
Edition:   2000 ed.
Volume:   43
Dimensions:   Width: 15.60cm , Height: 2.30cm , Length: 23.40cm
Weight:   1.690kg
ISBN:  

9780792362845

ISBN 10:   0792362845
Pages:   395
Publication Date:   31 May 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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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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