Constructive Nonsmooth Analysis And Related Topics

Author : Vladimir F. Demyanov
Publisher : Springer Science & Business Media
ISBN 13 : 1461486157
Total Pages : 258 pages
Book Rating : 4.52/5 ( download)

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Download or read book Constructive Nonsmooth Analysis and Related Topics written by Vladimir F. Demyanov and published by Springer Science & Business Media. This book was released on 2013-11-12 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers based on lectures and presentations delivered at the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg (Russia) from June 18-23, 2012. This conference was organized to mark the 50th anniversary of the birth of nonsmooth analysis and nondifferentiable optimization and was dedicated to J.-J. Moreau and the late B.N. Pshenichnyi, A.M. Rubinov, and N.Z. Shor, whose contributions to NSA and NDO remain invaluable. The first four chapters of the book are devoted to the theory of nonsmooth analysis. Chapters 5-8 contain new results in nonsmooth mechanics and calculus of variations. Chapters 9-13 are related to nondifferentiable optimization, and the volume concludes with four chapters containing interesting and important historical chapters, including tributes to three giants of nonsmooth analysis, convexity, and optimization: Alexandr Alexandrov, Leonid Kantorovich, and Alex Rubinov. The last chapter provides an overview and important snapshots of the 50-year history of convex analysis and optimization.

Author : IEEE Staff
Publisher :
ISBN 13 : 9781509062614
Total Pages : pages
Book Rating : 4.10/5 ( download)

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Download or read book 2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the Memory of V F Demyanov) (CNSA) written by IEEE Staff and published by . This book was released on 2017-05-22 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of the conference is to bring together mathematicians, physicists and engineers to present and discuss recent developments in the area of mathematical control methods, modelling and nonsmoth optimization The conference scope includes the following areas the design tools of nonsmooth analysis, nonsmooth problems of variational calculus and control theory, nonsmooth mechanics problem, nondifferentional optimization, nonsmooth analysis applications, mathematical modeling, mathematical problems of diagnostics, methods of game theory, nonlinear Chebyshev approximation and optimization

Author : Lyudmila N. Polyakova
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.15/5 ( download)

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Download or read book 2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the Memory of V.F. Demyanov), (CNSA) written by Lyudmila N. Polyakova and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vladimir F. Demyanov
Publisher : Springer Science & Business Media
ISBN 13 : 147573137X
Total Pages : 401 pages
Book Rating : 4.78/5 ( download)

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Download or read book Quasidifferentiability and Related Topics written by Vladimir F. Demyanov and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2 Radiant sets 236 3 Co-radiant sets 239 4 Radiative and co-radiative sets 241 5 Radiant sets with Lipschitz continuous Minkowski gauges 245 6 Star-shaped sets and their kernels 249 7 Separation 251 8 Abstract convex star-shaped sets 255 References 260 11 DIFFERENCES OF CONVEX COMPACTA AND METRIC SPACES OF CON- 263 VEX COMPACTA WITH APPLICATIONS: A SURVEY A. M. Rubinov, A. A. Vladimirov 1 Introduction 264 2 Preliminaries 264 3 Differences of convex compact sets: general approach 266 4 Metric projections and corresponding differences (one-dimensional case) 267 5 The *-difference 269 6 The Demyanov difference 271 7 Geometric and inductive definitions of the D-difference 273 8 Applications to DC and quasidifferentiable functions 276 9 Differences of pairs of set-valued mappings with applications to quasidiff- entiability 278 10 Applications to approximate subdifferentials 280 11 Applications to the approximation of linear set-valued mappings 281 12 The Demyanov metric 282 13 The Bartels-Pallaschke metric 284 14 Hierarchy of the three norms on Qn 285 15 Derivatives 287 16 Distances from convex polyhedra and convergence of convex polyhedra 289 17 Normality of convex sets 290 18 D-regular sets 291 19 Variable D-regular sets 292 20 Optimization 293 References 294 12 CONVEX APPROXIMATORS.

Author : Vladimir Fedorovich Demʹi︠a︡nov
Publisher : Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.97/5 ( download)

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Download or read book Constructive Nonsmooth Analysis written by Vladimir Fedorovich Demʹi︠a︡nov and published by Peter Lang Gmbh, Internationaler Verlag Der Wissenschaften. This book was released on 1995 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many practical problems can be described adequately only with the aid of nonsmooth functions. The book is mainly devoted to describing problems, tools and results in the area of Nonsmooth Analysis and Nondifferentiable Optimization, in particular those that can be easily transformed into practically applicable and computationally implementable ones. Most of the attention is paid to different generalizations of the concept of derivative (subdifferentials in Convex Analysis, the Clarke Subdifferential, Quasidifferentials, Codifferentials), Calculus of Quasidifferentials, Implicit Functions, Nonsmooth Extremal Problems.

Author : Alexander D. Ioffe
Publisher : Springer
ISBN 13 : 3319642774
Total Pages : 495 pages
Book Rating : 4.72/5 ( download)

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Download or read book Variational Analysis of Regular Mappings written by Alexander D. Ioffe and published by Springer. This book was released on 2017-10-26 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory. The origins of metric regularity theory can be traced back to a series of fundamental ideas and results of nonlinear functional analysis and global analysis centered around problems of existence and stability of solutions of nonlinear equations. In variational analysis, regularity theory goes far beyond the classical setting and is also concerned with non-differentiable and multi-valued operators. The present volume explores all basic aspects of the theory, from the most general problems for mappings between metric spaces to those connected with fairly concrete and important classes of operators acting in Banach and finite dimensional spaces. Written by a leading expert in the field, the book covers new and powerful techniques, which have proven to be highly efficient even in classical settings, and outlines the theory’s predominantly quantitative character, leading to a variety of new and unexpected applications. Variational Analysis of Regular Mappings is aimed at graduate students and researchers in nonlinear and functional analysis, especially those working in areas close to optimization and optimal control, and will be suitable to anyone interested in applying new concepts and ideas to operations research, control engineering and numerical analysis.

Author : Leon A Petrosyan
Publisher : World Scientific
ISBN 13 : 9811202028
Total Pages : 621 pages
Book Rating : 4.25/5 ( download)

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Download or read book Game Theoretic Analysis written by Leon A Petrosyan and published by World Scientific. This book was released on 2019-10-14 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of recent novel contributions in game theory from a group of prominent authors in the field. It covers Non-cooperative Games, Equilibrium Analysis, Cooperative Games and Axiomatic Values in static and dynamic contexts.Part 1: Non-cooperative Games and Equilibrium AnalysisIn game theory, a non-cooperative game is a game with competition between individual players and in which only self-enforcing (e.g. through credible threats) alliances (or competition between groups of players, called 'coalitions') are possible due to the absence of external means to enforce cooperative behavior (e.g. contract law), as opposed to cooperative games. In fact, non-cooperative games are the foundation for the development of cooperative games by acting as the status quo. Non-cooperative games are generally analysed through the framework of equilibrium, which tries to predict players' individual strategies and payoffs. Indeed, equilibrium analysis is the centre of non-cooperative games. This volume on non-cooperative games and equilibrium analysis contains a variety of non-cooperative games and non-cooperative game equilibria from prominent authors in the field.Part 2: Cooperative Games and Axiomatic ValuesIt is well known that non-cooperative behaviours, in general, would not lead to a Pareto optimal outcome. Highly undesirable outcomes (like the prisoner's dilemma) and even devastating results (like the tragedy of the commons) could appear when the involved parties only care about their individual interests in a non-cooperative situation. Cooperative games offer the possibility of obtaining socially optimal and group efficient solutions to decision problems involving strategic actions. In addition, axiomatic values serve as guidance for establishing cooperative solutions. This volume on cooperative games and axiomatic values presents a collection of cooperative games and axiomatic values from prominent authors in the field.

Author : Ildar B. Badriev
Publisher : Springer Nature
ISBN 13 : 3030878090
Total Pages : 607 pages
Book Rating : 4.92/5 ( download)

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Download or read book Mesh Methods for Boundary-Value Problems and Applications written by Ildar B. Badriev and published by Springer Nature. This book was released on 2022-09-14 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers papers presented at the 13th International Conference on Mesh Methods for Boundary-Value Problems and Applications, which was held in Kazan, Russia, in October 2020. The papers address the following topics: the theory of mesh methods for boundary-value problems in mathematical physics; non-linear mathematical models in mechanics and physics; algorithms for solving variational inequalities; computing science; and educational systems. Given its scope, the book is chiefly intended for students in the fields of mathematical modeling science and engineering. However, it will also benefit scientists and graduate students interested in these fields.

Author : Anton Eremeev
Publisher : Springer
ISBN 13 : 3319938002
Total Pages : 343 pages
Book Rating : 4.04/5 ( download)

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Download or read book Optimization Problems and Their Applications written by Anton Eremeev and published by Springer. This book was released on 2018-06-29 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes extended, revised and selected papers from the 7th International Conference on Optimization Problems and Their Applications, OPTA 2018, held in Omsk, Russia in July 2018. The 27 papers presented in this volume were carefully reviewed and selected from a total of 73 submissions. The papers are listed in thematic sections, namely location problems, scheduling and routing problems, optimization problems in data analysis, mathematical programming, game theory and economical applications, applied optimization problems and metaheuristics.

Author : Igor Bykadorov
Publisher : Springer Nature
ISBN 13 : 3030333949
Total Pages : 606 pages
Book Rating : 4.42/5 ( download)

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Download or read book Mathematical Optimization Theory and Operations Research written by Igor Bykadorov and published by Springer Nature. This book was released on 2019-10-26 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised and selected papers from the 18th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2019, held in Ekaterinburg, Russia, in July 2019. The 40 full papers and 4 short papers presented in this volume were carefully reviewed and selected from a total of 170 submissions. The papers in the volume are organised according to the following topical headings: ​combinatorial optimization; game theory and mathematical economics; data mining and computational geometry; integer programming; mathematical programming; operations research; optimal control and applications.