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Differentiability of Six Operators on Nonsmooth Functions and p-Variation, R. M. Dudley; J. Qian; R. Norvai?a


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Автор: R. M. Dudley; J. Qian; R. Norvai?a
Название:  Differentiability of Six Operators on Nonsmooth Functions and p-Variation
ISBN: 9783540659754
Издательство: Springer
Классификация:


ISBN-10: 3540659757
Обложка/Формат: Paperback
Страницы: 282
Вес: 0.42 кг.
Дата издания: 21.06.1999
Серия: Lecture Notes in Mathematics
Язык: English
Размер: 234 x 156 x 16
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.


Convex Functions, Monotone Operators and Differentiability

Автор: Robert R. Phelps
Название: Convex Functions, Monotone Operators and Differentiability
ISBN: 3540567151 ISBN-13(EAN): 9783540567158
Издательство: Springer
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Цена: 3492.00 р.
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Описание: Starting with convex functions on the line, this title leads to interconnected topics in convexity, differentiability and subdifferentiability of convex functions in Banach spaces, generic continuity of monotone operators, geometry of Banach spaces and the Radon-Nikodym property, convex analysis, variational principles and perturbed optimization.

State Space Consistency and Differentiability

Автор: Demetrios Serakos
Название: State Space Consistency and Differentiability
ISBN: 3319144685 ISBN-13(EAN): 9783319144689
Издательство: Springer
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Цена: 6986.00 р.
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Описание: the first has to do with the possibility of determining the input-output system from its natural state set and the second deals with differentiability properties involving the natural state inherited from the input-output system, including differentiability of the natural state and natural state trajectories.

Differentiability And Fractality In Dynamics Of Physical Systems

Автор: Merches Ioan Et Al
Название: Differentiability And Fractality In Dynamics Of Physical Systems
ISBN: 9814678384 ISBN-13(EAN): 9789814678384
Издательство: World Scientific Publishing
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Цена: 17424.00 р.
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Описание: Using Cartan`s differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed.

Nonsmooth Approach to Optimization Problems with Equilibrium Constraints

Автор: Jiri Outrata; M. Kocvara; J. Zowe
Название: Nonsmooth Approach to Optimization Problems with Equilibrium Constraints
ISBN: 0792351703 ISBN-13(EAN): 9780792351702
Издательство: Springer
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Цена: 26546.00 р.
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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.

Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods

Автор: Masao Fukushima; Liqun Qi
Название: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
ISBN: 1441948058 ISBN-13(EAN): 9781441948052
Издательство: Springer
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Цена: 23058.00 р.
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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.

A Variational Approach to Nonsmooth Dynamics

Автор: Samir Adly
Название: A Variational Approach to Nonsmooth Dynamics
ISBN: 3319686577 ISBN-13(EAN): 9783319686578
Издательство: Springer
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Цена: 7685.00 р.
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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.

Nonsmooth Vector Functions and Continuous Optimization

Автор: V. Jeyakumar; Dinh The Luc
Название: Nonsmooth Vector Functions and Continuous Optimization
ISBN: 1441944729 ISBN-13(EAN): 9781441944726
Издательство: Springer
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Цена: 18167.00 р.
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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.

Constructive Nonsmooth Analysis and Related Topics

Автор: Vladimir F. Demyanov; Panos M. Pardalos; Mikhail B
Название: Constructive Nonsmooth Analysis and Related Topics
ISBN: 1461486149 ISBN-13(EAN): 9781461486145
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume contains papers from the International Conference on Constructive Nonsmooth Analysis (CNSA) held in St. Petersburg, Russia, June 2012. It explores this powerful instrument in applied mathematics.


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