Variational Analysis And Generalized Differentiation In Optimization And Control
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Variational Analysis And Generalized Differentiation I
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Author : Boris S. Mordukhovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-08-08
Variational Analysis And Generalized Differentiation I written by Boris S. Mordukhovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-08 with Mathematics categories.
Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.
Variational Analysis And Generalized Differentiation In Optimization And Control
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Author : Regina S. Burachik
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-25
Variational Analysis And Generalized Differentiation In Optimization And Control written by Regina S. Burachik and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-25 with Mathematics categories.
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.
Variational Analysis And Generalized Differentiation In Optimization And Control
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Author :
language : en
Publisher:
Release Date : 2011-04-11
Variational Analysis And Generalized Differentiation In Optimization And Control written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-11 with categories.
Variational Analysis And Generalized Differentiation In Optimization And Control
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Author : Regina Burachik
language : en
Publisher: Springer
Release Date : 2010-11-30
Variational Analysis And Generalized Differentiation In Optimization And Control written by Regina Burachik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-30 with Mathematics categories.
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.
Variational Analysis And Applications
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Author : Boris S. Mordukhovich
language : en
Publisher: Springer
Release Date : 2018-08-02
Variational Analysis And Applications written by Boris S. Mordukhovich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-02 with Mathematics categories.
Building on fundamental results in variational analysis, this monograph presents new and recent developments in the field as well as selected applications. Accessible to a broad spectrum of potential readers, the main material is presented in finite-dimensional spaces. Infinite-dimensional developments are discussed at the end of each chapter with comprehensive commentaries which emphasize the essence of major results, track the genesis of ideas, provide historical comments, and illuminate challenging open questions and directions for future research. The first half of the book (Chapters 1–6) gives a systematic exposition of key concepts and facts, containing basic material as well as some recent and new developments. These first chapters are particularly accessible to masters/doctoral students taking courses in modern optimization, variational analysis, applied analysis, variational inequalities, and variational methods. The reader’s development of skills will be facilitated as they work through each, or a portion of, the multitude of exercises of varying levels. Additionally, the reader may find hints and references to more difficult exercises and are encouraged to receive further inspiration from the gems in chapter commentaries. Chapters 7–10 focus on recent results and applications of variational analysis to advanced problems in modern optimization theory, including its hierarchical and multiobjective aspects, as well as microeconomics, and related areas. It will be of great use to researchers and professionals in applied and behavioral sciences and engineering.
Variational Analysis And Generalized Differentiation Ii
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Author : Boris S. Mordukhovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-02
Variational Analysis And Generalized Differentiation Ii written by Boris S. Mordukhovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-02 with Mathematics categories.
Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.
Variational Analysis And Generalized Differentiation I
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Author : Boris S. Mordukhovich
language : en
Publisher: Springer
Release Date : 2012-10-28
Variational Analysis And Generalized Differentiation I written by Boris S. Mordukhovich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-28 with Mathematics categories.
Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.
Second Order Variational Analysis In Optimization Variational Stability And Control
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Author : Boris S. Mordukhovich
language : en
Publisher: Springer
Release Date : 2024-04-18
Second Order Variational Analysis In Optimization Variational Stability And Control written by Boris S. Mordukhovich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-18 with Mathematics categories.
This fundamental work is a sequel to monographs by the same author: Variational Analysis and Applications (2018) and the two Grundlehren volumes Variational Analysis and Generalized Differentiation: I Basic Theory, II Applications (2006). This present book is the first entirely devoted to second-order variational analysis with numerical algorithms and applications to practical models. It covers a wide range of topics including theoretical, numerical, and implementations that will interest researchers in analysis, applied mathematics, mathematical economics, engineering, and optimization. Inclusion of a variety of exercises and commentaries in each chapter allows the book to be used effectively in a course on this subject. This area has been well recognized as an important and rapidly developing area of nonlinear analysis and optimization with numerous applications. Consisting of 9 interrelated chapters, the book is self-contained with the inclusion of some preliminaries in Chapter 1. Results presented are useful tools for characterizations of fundamental notions of variational stability of solutions for diverse classes of problems in optimization and optimal control, the study of variational convexity of extended-real-valued functions and their specifications and variational sufficiency in optimization. Explicit calculations and important applications of second-order subdifferentials associated with the achieved characterizations of variational stability and related concepts, to the design and justification of second-order numerical algorithms for solving various classes of optimization problems, nonsmooth equations, and subgradient systems, are included. Generalized Newtonian algorithms are presented that show local and global convergence with linear, superlinear, and quadratic convergence rates. Algorithms are implemented to address interesting practical problems from the fields of machine learning, statistics, imaging, and other areas.
Second Order Variational Analysis In Optimization Variational Stability And Control
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Author : Boris S. Mordukhovich
language : en
Publisher: Springer Nature
Release Date :
Second Order Variational Analysis In Optimization Variational Stability And Control written by Boris S. Mordukhovich and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
An Easy Path To Convex Analysis And Applications
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Author : Boris S. Mordukhovich
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2013-12-01
An Easy Path To Convex Analysis And Applications written by Boris S. Mordukhovich and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
Convex optimization has an increasing impact on many areas of mathematics, applied sciences, and practical applications. It is now being taught at many universities and being used by researchers of different fields. As convex analysis is the mathematical f