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An Introduction to Nonsmooth Analysis

An Introduction to Nonsmooth Analysis
  • Author : Juan Ferrera
  • Publsiher : Anonim
  • Release : 26 November 2013
  • ISBN : 9780128007310
  • Pages : 164 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKAn Introduction to Nonsmooth Analysis

Summary:
Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail. Includes different kinds of sub and super differentials as well as generalized gradients Includes also the main tools of the theory, as Sum and Chain Rules or Mean Value theorems Content is introduced in an elementary way, developing many examples, allowing the reader to understand a theory which is scattered in many papers and research books


An Introduction to Nonsmooth Analysis

An Introduction to Nonsmooth Analysis
  • Author : Juan Ferrera
  • Publisher : Anonim
  • Release : 26 November 2013
GET THIS BOOKAn Introduction to Nonsmooth Analysis

Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail. Includes different kinds of sub and super differentials as well as generalized gradients Includes also the main tools of the theory, as Sum and Chain Rules or Mean Value theorems Content is introduced in

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An Introduction to Nonsmooth Analysis

An Introduction to Nonsmooth Analysis
  • Author : Juan Ferrera
  • Publisher : Academic Press
  • Release : 26 November 2013
GET THIS BOOKAn Introduction to Nonsmooth Analysis

Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail. Includes different kinds of sub and super differentials as well as generalized gradients Includes also the main tools of the theory, as Sum and Chain Rules or Mean Value theorems Content is introduced in

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Nonsmooth Analysis

Nonsmooth Analysis
  • Author : Winfried Schirotzek
  • Publisher : Springer Science & Business Media
  • Release : 26 May 2007
GET THIS BOOKNonsmooth Analysis

This book treats various concepts of generalized derivatives and subdifferentials in normed spaces, their geometric counterparts and their application to optimization problems. It starts with the subdifferential of convex analysis, passes to corresponding concepts for locally Lipschitz continuous functions and then presents subdifferentials for general lower semicontinuous functions. All basic tools are presented where they are needed: this concerns separation theorems, variational and extremal principles as well as relevant parts of multifunction theory. Each chapter ends with bibliographic notes and

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An Introduction to Nonlinear Analysis: Theory

An Introduction to Nonlinear Analysis: Theory
  • Author : Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou
  • Publisher : Springer Science & Business Media
  • Release : 01 December 2013
GET THIS BOOKAn Introduction to Nonlinear Analysis: Theory

An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space

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Introduction to Nonsmooth Optimization

Introduction to Nonsmooth Optimization
  • Author : Adil Bagirov,Napsu Karmitsa,Marko M. Mäkelä
  • Publisher : Springer
  • Release : 12 August 2014
GET THIS BOOKIntroduction to Nonsmooth Optimization

This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics and computational chemistry and physics. The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. It is organized

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Nonsmooth Optimization

Nonsmooth Optimization
  • Author : Marko M Mäkelä,Pekka Neittaanmäki
  • Publisher : World Scientific
  • Release : 07 May 1992
GET THIS BOOKNonsmooth Optimization

This book is a self-contained elementary study for nonsmooth analysis and optimization, and their use in solution of nonsmooth optimal control problems. The first part of the book is concerned with nonsmooth differential calculus containing necessary tools for nonsmooth optimization. The second part is devoted to the methods of nonsmooth optimization and their development. A proximal bundle method for nonsmooth nonconvex optimization subject to nonsmooth constraints is constructed. In the last part nonsmooth optimization is applied to problems arising from

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An Easy Path to Convex Analysis and Applications

An Easy Path to Convex Analysis and Applications
  • Author : Boris S. Mordukhovich,Nguyen Mau Nam
  • Publisher : Morgan & Claypool Publishers
  • Release : 01 December 2013
GET THIS BOOKAn Easy Path to Convex Analysis and Applications

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

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Regularity Concepts in Nonsmooth Analysis

Regularity Concepts in Nonsmooth Analysis
  • Author : Messaoud Bounkhel
  • Publisher : Springer Science & Business Media
  • Release : 12 November 2011
GET THIS BOOKRegularity Concepts in Nonsmooth Analysis

The results presented in this book are a product of research conducted by the author independently and in collaboration with other researchers in the field. In this light, this work encompasses the most recent collection of various concepts of regularity and nonsmooth analysis into one monograph. The first part of the book attempts to present an accessible and thorough introduction to nonsmooth analysis theory. Main concepts and some useful results are stated and illustrated through examples and exercises. The second

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Nonsmooth Analysis and Control Theory

Nonsmooth Analysis and Control Theory
  • Author : Francis H. Clarke,Yuri S. Ledyaev,Ronald J. Stern,Peter R. Wolenski
  • Publisher : Springer Science & Business Media
  • Release : 10 January 2008
GET THIS BOOKNonsmooth Analysis and Control Theory

A clear and succinct presentation of the essentials of this subject, together with some of its applications and a generous helping of interesting exercises. Following an introductory chapter with a taste of what is to come, the next three chapters constitute a course in nonsmooth analysis and identify a coherent and comprehensive approach to the subject, leading to an efficient, natural, and powerful body of theory. The whole is rounded off with a self-contained introduction to the theory of control

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An Introduction to Piecewise Smooth Dynamics

An Introduction to Piecewise Smooth Dynamics
  • Author : Paul Glendinning,Mike R. Jeffrey
  • Publisher : Springer Nature
  • Release : 21 October 2019
GET THIS BOOKAn Introduction to Piecewise Smooth Dynamics

This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader into the latest challenges in the field, going through stability analysis, bifurcation, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical

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Functional Analysis, Calculus of Variations and Optimal Control

Functional Analysis, Calculus of Variations and Optimal Control
  • Author : Francis Clarke
  • Publisher : Springer Science & Business Media
  • Release : 06 February 2013
GET THIS BOOKFunctional Analysis, Calculus of Variations and Optimal Control

Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor. This book provides a thorough introduction to functional analysis and includes many novel elements as well

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Introduction to Piecewise Differentiable Equations

Introduction to Piecewise Differentiable Equations
  • Author : Stefan Scholtes
  • Publisher : Springer Science & Business Media
  • Release : 01 August 2012
GET THIS BOOKIntroduction to Piecewise Differentiable Equations

​​​​​​​ This brief provides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentiable equations. In the first chapter, two sample problems are used to motivate the study of this theory. The presentation is then developed using two basic tools for the analysis of piecewise differentiable functions: the Bouligand derivative as the nonsmooth analogue of the classical derivative concept and the theory of piecewise affine functions as the combinatorial tool for the study of this approximation

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Topological Aspects of Nonsmooth Optimization

Topological Aspects of Nonsmooth Optimization
  • Author : Vladimir Shikhman
  • Publisher : Springer Science & Business Media
  • Release : 18 November 2011
GET THIS BOOKTopological Aspects of Nonsmooth Optimization

This book deals with nonsmooth structures arising within the optimization setting. It considers four optimization problems, namely, mathematical programs with complementarity constraints, general semi-infinite programming problems, mathematical programs with vanishing constraints and bilevel optimization. The author uses the topological approach and topological invariants of corresponding feasible sets are investigated. Moreover, the critical point theory in the sense of Morse is presented and parametric and stability issues are considered. The material progresses systematically and establishes a comprehensive theory for a rather

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An Introduction to Nonlinear Optimization Theory

An Introduction to Nonlinear Optimization Theory
  • Author : Marius Durea,Radu Strugariu
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 01 January 2014
GET THIS BOOKAn Introduction to Nonlinear Optimization Theory

The goal of this book is to present the main ideas and techniques in the field of continuous smooth and nonsmooth optimization. Starting with the case of differentiable data and the classical results on constrained optimization problems, and continuing with the topic of nonsmooth objects involved in optimization theory, the book concentrates on both theoretical and practical aspects of this field. This book prepares those who are engaged in research by giving repeated insights into ideas that are subsequently dealt

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Optimization and Nonsmooth Analysis

Optimization and Nonsmooth Analysis
  • Author : Frank H. Clarke
  • Publisher : SIAM
  • Release : 01 January 1990
GET THIS BOOKOptimization and Nonsmooth Analysis

Mathematical Reviews said of this book that it was 'destined to become a classical reference.' This book has appeared in Russian translation and has been praised both for its lively exposition and its fundamental contributions. The author first develops a general theory of nonsmooth analysis and geometry which, together with a set of associated techniques, has had a profound effect on several branches of analysis and optimization. Clarke then applies these methods to obtain a powerful, unified approach to

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