An 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 an elementary way, developing many examples, allowing the reader to understand a theory which is scattered in many papers and research books

Produk Detail:

  • Author : Juan Ferrera
  • Publisher : Anonim
  • Pages : 164 pages
  • ISBN : 9780128007310
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKAn Introduction to Nonsmooth Analysis

An Introduction to Nonsmooth Analysis

An Introduction to Nonsmooth Analysis
  • Author : Juan Ferrera
  • Publisher : Unknown Publisher
  • 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

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

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

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

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

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

Nonsmooth Optimization

Nonsmooth Optimization
  • Author : Claude Lemarechal,Robert Mifflin
  • Publisher : Elsevier
  • Release : 19 May 2014
GET THIS BOOKNonsmooth Optimization

Nonsmooth Optimization contains the proceedings of a workshop on non-smooth optimization (NSO) held from March 28 to April 8,1977 in Austria under the auspices of the International Institute for Applied Systems Analysis. The papers explore the techniques and theory of NSO and cover topics ranging from systems of inequalities to smooth approximation of non-smooth functions, as well as quadratic programming and line searches. Comprised of nine chapters, this volume begins with a survey of Soviet research on subgradient optimization carried out since 1962,

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

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

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

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

Convex Analysis and Nonlinear Optimization

Convex Analysis and Nonlinear Optimization
  • Author : Jonathan Borwein,Adrian S. Lewis
  • Publisher : Springer Science & Business Media
  • Release : 05 May 2010
GET THIS BOOKConvex Analysis and Nonlinear Optimization

Optimization is a rich and thriving mathematical discipline, and the underlying theory of current computational optimization techniques grows ever more sophisticated. This book aims to provide a concise, accessible account of convex analysis and its applications and extensions, for a broad audience. Each section concludes with an often extensive set of optional exercises. This new edition adds material on semismooth optimization, as well as several new proofs.

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