Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications
Author:   Diethard Klatte ,  B. Kummer
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2002
Volume:   60
ISBN:  

9781441952189


Pages:   333
Publication Date:   07 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Nonsmooth Equations in Optimization: Regularity, Calculus, Methods and Applications


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Overview

The book establishes links between regularity and derivative concepts of nonsmooth analysis and studies of solution methods and stability for optimization, complementarity and equilibrium problems. In developing necessary tools, it presents, in particular: an extended analysis of Lipschitz functions and the calculus of their generalized derivatives, including regularity, successive approximation and implicit functions for multivalued mappings; a unified theory of Lipschitzian critical points in optimization and other variational problems, with relations to reformulations by penalty, barrier and NCP functions; an analysis of generalized Newton methods based on linear and nonlinear approximations; the interpretation of hypotheses, generalized derivatives and solution methods in terms of original data and quadratic approximations; a rich collection of instructive examples and exercises.GBP/LISTGBP Audience: Researchers, graduate students and practitioners in various fields of applied mathematics, engineering, OR and economics. Also university teachers and advanced students who wish to get insights into problems, future directions and recent developments.

Full Product Details

Author:   Diethard Klatte ,  B. Kummer
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2002
Volume:   60
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.557kg
ISBN:  

9781441952189


ISBN 10:   1441952187
Pages:   333
Publication Date:   07 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Basic Concepts.- Regularity and Consequences.- Characterizations of Regularity by Derivatives.- Nonlinear Variations and Implicit Functions.- Closed Mappings in Finite Dimension.- Analysis of Generalized Derivatives.- Critical Points and Generalized Kojima-functions.- Parametric Optimization Problems.- Derivatives and Regularity of Further Nonsmooth Maps.- Newton’s Method for Lipschitz Equations.- Particular Newton Realizations and Solution Methods.- Basic Examples and Exercises.

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