Variational Analysis and Generalized Differentiation in Optimization and Control

Description: Variational Analysis and Generalized Differentiation in Optimization and Control by Regina S. Burachik, Jen-Chih Yao This book presents some 20 papers describing recent developments in advanced variational analysis, optimization, and control systems, especially those based on modern variational techniques and tools of generalized differentiation. FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description This special volume is dedicated to Boris M. Mordukhovich, on the occasion of his 60th birthday, and aims to celebrate his fundamental contributionsto variational analysis, generalizeddifferentiationand their applications.A main exampleof these contributions is Boris recent opus magnus "Variational Analysis and Generalized Differentiation"(vols. I and II) [2,3]. A detailed explanationand careful description of Boris research and achievements can be found in [1]. Boris active work and jovial attitude have constantly inspired researchers of several generations, with whom he has generously shared his knowledgeand ent- siasm, along with his well-known warmth and human touch. Variationalanalysis is a rapidlygrowing?eld within pure and applied mathem- ics, with numerous applications to optimization, control theory, economics, en- neering, and other disciplines. Each of the 12 chapters of this volume is a carefully reviewed paper in the ?eld of variational analysis and related topics.Many chapters of this volume were presented at the International Symposium on Variational Analysis and Optimization (ISVAO), held in the Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, from November 28 to November 30, 2008. The symposium was organized in honour of Boris 60thbirthday.It broughttogetherBorisandotherresearchersto discusssta- of-the-art results in variational analysis and its applications, with emphasis on op- mization and control. We thank the organizers and participants of the symposium, who made the symposium a highly bene?cial and enjoyable event. We are also grateful to all the authors of this special volume, who have taken the opportunityto celebrate Boris birthdayand his decadesof contributionsto the area. Back Cover Variational analysis is a rapidly growing field within pure and applied mathematics, with numerous applications to optimization, control theory, economics, engineering, and other disciplines. This volume brings together state-of-the-art results in variational analysis and its applications, with an emphasis on optimization and control.The included chapters, written by international experts in the field of variational analysis and related topics, are dedicated to Boris S. Mordukhovich, a renowned mathematician, and aim to celebrate his fundamental contributions to variational analysis, generalized differentiationand their applications.This volume is intended for mathematicians studying variational analysis as wellas other researchers interested in applying the principles of variational analysis totheir area of study. Table of Contents Systems of Vector Quasi-equilibrium Problems and Their Applications.- Properties of Derivates and Some Applications.- On Computing the Mordukhovich Subdifferential Using Directed Sets in Two Dimensions.- Future Challenges for Variational Analysis.- A Deflected Subgradient Method Using a General Augmented Lagrangian Dualitywith Implications on Penalty Methods.- On Weak Multifunction Equilibrium Problems.- Optimality Conditions for a Simple Convex Bilevel Programming Problem.- Smooth Representations of Optimal Solution Sets of Piecewise LinearParametric Multiobjective Programs.- Global Optimality Conditions for Classes of Non-convex Multi-objective Quadratic Optimization Problems.- Application of Variational Analysis and Control Theory to Nonparametric MaximumLikelihood Estimation of a Density Function.- Parametric Variational System with a Smooth-Boundary Constraint Set.- Exact Penalty in Constrained Optimization and the Mordukhovich BasicSubdifferential. Long Description This special volume is dedicated to Boris M. Mordukhovich, on the occasion of his 60th birthday, and aims to celebrate his fundamental contributionsto variational analysis, generalizeddifferentiationand their applications.A main exampleof these contributions is Boris recent opus magnus "Variational Analysis and Generalized Differentiation"(vols. I and II) [2,3]. A detailed explanationand careful description of Boris research and achievements can be found in [1]. Boris active work and jovial attitude have constantly inspired researchers of several generations, with whom he has generously shared his knowledgeand ent- siasm, along with his well-known warmth and human touch. Variationalanalysis is a rapidlygrowingeld within pure and applied mathem- ics, with numerous applications to optimization, control theory, economics, en- neering, and other disciplines. Each of the 12 chapters of this volume is a carefully reviewed paper in the ?eld of variational analysis and related topics. Many chapters of this volume were presented at the International Symposium on Variational Analysis and Optimization (ISVAO), held in the Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, Taiwan, from November 28 to November 30, 2008. The symposium was organized in honour of Boris 60thbirthday.It broughttogetherBorisandotherresearchersto discusssta- of-the-art results in variational analysis and its applications, with emphasis on op- mization and control. We thank the organizers and participants of the symposium, who made the symposium a highly benecial and enjoyable event. We are also grateful to all the authors of this special volume, who have taken the opportunityto celebrate Boris birthdayand his decadesof contributionsto the area. Feature Twelve self-contained papers written by distinguished mathematicians in variational analysis, optimization, and control First comprehensive treatment of the subject in book form Presents several important new results and interdisciplinary research Intended for a broad audience of engineers, economists, graduate students, researchers, and applied mathematicians Details ISBN146142769X Short Title VARIATIONAL ANALYSIS & GENERAL Series Springer Optimization and Its Applications Language English ISBN-10 146142769X ISBN-13 9781461427698 Media Book Format Paperback DEWEY 515.64 Series Number 47 Year 2012 Publication Date 2012-12-28 Pages 232 Imprint Springer-Verlag New York Inc. Subtitle In Honor of Boris S. Mordukhovich Place of Publication New York, NY Country of Publication United States Edited by Jen-Chih Yao Edition 2010th AU Release Date 2012-12-28 NZ Release Date 2012-12-28 US Release Date 2012-12-28 UK Release Date 2012-12-28 Author Jen-Chih Yao Publisher Springer-Verlag New York Inc. Edition Description 2010 ed. Alternative 9781441904362 Audience Professional & Vocational Illustrations X, 232 p. We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96371422;

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