Introduction to Nonsmooth Optimization, Adil Bagirov; Napsu Karmitsa; Marko M. M?kel?
Автор: Samir Adly Название: A Variational Approach to Nonsmooth Dynamics ISBN: 3319686577 ISBN-13(EAN): 9783319686578 Издательство: Springer Рейтинг: Цена: 7685.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process.
The field of nonsmooth dynamics is of great interest to mathematicians, mechanicians, automatic controllers and engineers. The present volume acknowledges this transversality and provides a multidisciplinary view as it outlines fundamental results in nonsmooth dynamics and explains how to use them to study various problems in engineering. In particular, the author explores the question of how to redefine the notion of dynamical systems in light of modern variational and nonsmooth analysis.
With the aim of bridging between the communities of applied mathematicians, engineers and researchers in control theory and nonlinear systems, this brief outlines both relevant mathematical proofs and models in unilateral mechanics and electronics.
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: Adil Bagirov; Napsu Karmitsa; Marko M. M?kel? Название: Introduction to Nonsmooth Optimization ISBN: 331934627X ISBN-13(EAN): 9783319346274 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. a guide to NSO software.The book is ideal for anyone teaching or attending NSO courses.
Описание: The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases.
Автор: Vladimir Shikhman Название: Topological Aspects of Nonsmooth Optimization ISBN: 1493900692 ISBN-13(EAN): 9781493900695 Издательство: Springer Рейтинг: Цена: 16769.00 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.
Автор: V. Jeyakumar; Dinh The Luc Название: Nonsmooth Vector Functions and Continuous Optimization ISBN: 1441944729 ISBN-13(EAN): 9781441944726 Издательство: Springer Рейтинг: Цена: 18167.00 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.
Описание: The aim of the book is to cover the three fundamental aspects of research in equilibrium problems: the statement problem and its formulation using mainly variational methods, its theoretical solution by means of classical and new variational tools, the calculus of solutions and applications in concrete cases.
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.
Описание: Concerns the differentiability of six operators on functions or pairs of functions, composition (f of g), integration (of f dg), multiplication and convolution of two functions, and the product integral and inverse operators for one function. Knowledge of basic real analysis is essential.
Автор: Messaoud Bounkhel Название: Regularity Concepts in Nonsmooth Analysis ISBN: 1489989374 ISBN-13(EAN): 9781489989376 Издательство: Springer Рейтинг: Цена: 16769.00 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: David Yang Gao; Raymond W. Ogden; Georgios E. Stav Название: Nonsmooth/Nonconvex Mechanics ISBN: 1461379733 ISBN-13(EAN): 9781461379737 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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