Описание: Collects papers that cover such areas as linear and nonlinear complementarity problems, variational inequality problems, nonsmooth equations and nonsmooth optimization problems, economic and network equilibrium problems, semidefinite programming problems, maximal monotone operator problems, and mathematical programs with equilibrium constraints.
Описание: The concept of "reformulation" has long been playing an important role in mathematical programming. A classical example is the penalization technique in constrained optimization that transforms the constraints into the objective function via a penalty function thereby reformulating a constrained problem as an equivalent or approximately equivalent unconstrained problem. More recent trends consist of the reformulation of various mathematical programming prob- lems, including variational inequalities and complementarity problems, into equivalent systems of possibly nonsmooth, piecewise smooth or semismooth nonlinear equations, or equivalent unconstrained optimization problems that are usually differentiable, but in general not twice differentiable. Because of the recent advent of various tools in nonsmooth analysis, the reformulation approach has become increasingly profound and diversified. In view of growing interests in this active field, we planned to organize a cluster of sessions entitled "Reformulation - Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods" in the 16th International Symposium on Mathematical Programming (ismp97) held at Lausanne EPFL, Switzerland on August 24-29, 1997. Responding to our invitation, thirty-eight people agreed to give a talk within the cluster, which enabled us to organize thirteen sessions in total. We think that it was one of the largest and most exciting clusters in the symposium. Thanks to the earnest support by the speakers and the chairpersons, the sessions attracted much attention of the participants and were filled with great enthusiasm of the audience.
Автор: David Yang Gao; Raymond W. Ogden; Georgios E. Stav Название: Nonsmooth/Nonconvex Mechanics ISBN: 1461379733 ISBN-13(EAN): 9781461379737 Издательство: Springer Рейтинг: Цена: 14635.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: V. Jeyakumar; Dinh The Luc Название: Nonsmooth Vector Functions and Continuous Optimization ISBN: 1441944729 ISBN-13(EAN): 9781441944726 Издательство: Springer Рейтинг: Цена: 15855.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focusing on the study of nonsmooth vector functions, this book presents a comprehensive account of the calculus of generalized Jacobian matrices and their applications to continuous nonsmooth optimization problems, as well as variational inequalities in finite dimensions.
Автор: Vladimir Shikhman Название: Topological Aspects of Nonsmooth Optimization ISBN: 1493900692 ISBN-13(EAN): 9781493900695 Издательство: Springer Рейтинг: Цена: 14635.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Linking singularity and transversality theory with non-smooth optimization, this book examines complementarity-constrained mathematical programs, semi-infinite programming problems, mathematical programs with vanishing constraints, and bi-level optimization.
Описание: Presents an in-depth study and a solution technique for an important class of optimization problems. This book begins with a chapter on auxiliary results followed by a description of the main numerical tools: a bundle method of nonsmooth optimization and a nonsmooth variant of Newton`s method.
Описание: This book describes optimization models of clustering problems and clustering algorithms based on optimization techniques, including their implementation, evaluation, and applications.
Автор: Bagirov Adil M., Gaudioso Manlio, Karmitsa Napsu Название: Numerical Nonsmooth Optimization: State of the Art Algorithms ISBN: 3030349128 ISBN-13(EAN): 9783030349127 Издательство: Springer Цена: 21953.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Introduction.- Part I: General Methods.- Part II: Structure Exploiting Methods.- Part III: Methods for Special Problems.- Part IV: Derivative-free Methods.
Описание: Nonsmooth energy functions govern phenomena which occur frequently in nature and in various areas of life. This book presents the quasidifferentiability approach to nonconvex, possibly nonsmooth, energy functions; and the derivation and study of the corresponding variational expressions in mechanics, engineering and economics.
Автор: Messaoud Bounkhel Название: Regularity Concepts in Nonsmooth Analysis ISBN: 1489989374 ISBN-13(EAN): 9781489989376 Издательство: Springer Рейтинг: Цена: 14635.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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. The second part gathers the most prominent and recent results of various regularity concepts of sets, functions, and set-valued mappings in nonsmooth analysis.
Автор: Seyedehsomayeh Hosseini; Boris S. Mordukhovich; An Название: Nonsmooth Optimization and Its Applications ISBN: 3030113698 ISBN-13(EAN): 9783030113698 Издательство: Springer Рейтинг: Цена: 10366.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Since nonsmooth optimization problems arise in a diverse range of real-world applications, the potential impact of efficient methods for solving such problems is undeniable. Even solving difficult smooth problems sometimes requires the use of nonsmooth optimization methods, in order to either reduce the problem’s scale or simplify its structure. Accordingly, the field of nonsmooth optimization is an important area of mathematical programming that is based on by now classical concepts of variational analysis and generalized derivatives, and has developed a rich and sophisticated set of mathematical tools at the intersection of theory and practice.This volume of ISNM is an outcome of the workshop 'Nonsmooth Optimization and its Applications,' which was held from May 15 to 19, 2017 at the Hausdorff Center for Mathematics, University of Bonn. The six research articles gathered here focus on recent results that highlight different aspects of nonsmooth and variational analysis, optimization methods, their convergence theory and applications.
Автор: Bagirov Adil M., Gaudioso Manlio, Karmitsa Napsu Название: Numerical Nonsmooth Optimization: State of the Art Algorithms ISBN: 3030349098 ISBN-13(EAN): 9783030349097 Издательство: Springer Рейтинг: Цена: 21953.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Solving nonsmooth optimization (NSO) problems is critical in many practical applications and real-world modeling systems. The aim of this book is to survey various numerical methods for solving NSO problems and to provide an overview of the latest developments in the field. Experts from around the world share their perspectives on specific aspects of numerical NSO.
The book is divided into four parts, the first of which considers general methods including subgradient, bundle and gradient sampling methods. In turn, the second focuses on methods that exploit the problem's special structure, e.g. algorithms for nonsmooth DC programming, VU decomposition techniques, and algorithms for minimax and piecewise differentiable problems. The third part considers methods for special problems like multiobjective and mixed integer NSO, and problems involving inexact data, while the last part highlights the latest advancements in derivative-free NSO.
Given its scope, the book is ideal for students attending courses on numerical nonsmooth optimization, for lecturers who teach optimization courses, and for practitioners who apply nonsmooth optimization methods in engineering, artificial intelligence, machine learning, and business. Furthermore, it can serve as a reference text for experts dealing with nonsmooth optimization.
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