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Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods, Masao Fukushima; Liqun Qi


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Автор: Masao Fukushima; Liqun Qi
Название:  Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
ISBN: 9781441948052
Издательство: Springer
Классификация:






ISBN-10: 1441948058
Обложка/Формат: Paperback
Страницы: 444
Вес: 0.63 кг.
Дата издания: 03.12.2010
Серия: Applied Optimization
Язык: English
Размер: 234 x 156 x 23
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
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.


Bifurcations In Piecewise-Smooth Continuous Systems

Автор: Simpson David John Warwick
Название: Bifurcations In Piecewise-Smooth Continuous Systems
ISBN: 9814293849 ISBN-13(EAN): 9789814293846
Издательство: World Scientific Publishing
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Цена: 15998.00 р.
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Описание: Real-world systems that involve some non-smooth change are often well-modeled by piecewise-smooth systems. This title presents the results regarding bifurcations of piecewise-smooth, continuous, autonomous systems of ordinary differential equations and maps. It reveals various codimension-two, discontinuity induced bifurcations.

Piecewise Deterministic Processes in Biological Models

Автор: Ryszard Rudnicki; Marta Tyran-Kami?ska
Название: Piecewise Deterministic Processes in Biological Models
ISBN: 331961293X ISBN-13(EAN): 9783319612935
Издательство: Springer
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Цена: 7685.00 р.
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Описание: This book presents a concise introduction to piecewise deterministic Markov processes (PDMPs), with particular emphasis on their applications to biological models.

Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods

Автор: Masao Fukushima; Liqun Qi
Название: Reformulation: Nonsmooth, Piecewise Smooth, Semismooth and Smoothing Methods
ISBN: 079235320X ISBN-13(EAN): 9780792353201
Издательство: Springer
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Цена: 23058.00 р.
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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.

A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems

Автор: Hanif D. Sherali; W. P. Adams
Название: A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems
ISBN: 0792354877 ISBN-13(EAN): 9780792354871
Издательство: Springer
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Цена: 34799.00 р.
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Описание: Addresses a method for generating tight linear or convex programming relaxations for discrete and continuous nonconvex programming problems. This book is intended for researchers and practitioners who work in the area of discrete or continuous nonlinear, nonconvex optimization problems.

Numerical Methods for Simulation and Optimization of Piecewise Deterministic Markov Processes - Application to Reliability

Автор: de Saporta
Название: Numerical Methods for Simulation and Optimization of Piecewise Deterministic Markov Processes - Application to Reliability
ISBN: 1848218397 ISBN-13(EAN): 9781848218390
Издательство: Wiley
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Цена: 22010.00 р.
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Описание:

Mark H.A. Davis introduced the Piecewise-Deterministic Markov Process (PDMP) class of stochastic hybrid models in an article in 1984. Today it is used to model a variety of complex systems in the fields of engineering, economics, management sciences, biology, Internet traffic, networks and many more. Yet, despite this, there is very little in the way of literature devoted to the development of numerical methods for PDMDs to solve problems of practical importance, or the computational control of PDMPs.

This book therefore presents a collection of mathematical tools that have been recently developed to tackle such problems. It begins by doing so through examples in several application domains such as reliability. The second part is devoted to the study and simulation of expectations of functionals of PDMPs. Finally, the third part introduces the development of numerical techniques for optimal control problems such as stopping and impulse control problems.

Piecewise Linear Modeling and Analysis

Автор: Domine Leenaerts; Wim M.G. van Bokhoven
Название: Piecewise Linear Modeling and Analysis
ISBN: 144195046X ISBN-13(EAN): 9781441950468
Издательство: Springer
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Цена: 19589.00 р.
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Piecewise-smooth Dynamical Systems

Автор: Mario Bernardo; Chris Budd; Alan Richard Champneys
Название: Piecewise-smooth Dynamical Systems
ISBN: 184996548X ISBN-13(EAN): 9781849965484
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book presents a coherent framework for understanding the dynamics of piecewise-smooth and hybrid systems. The results are presented in an informal style, and illustrated with many examples. The book is aimed at a wide audience of applied mathematicians, engineers and scientists at the beginning postgraduate level.

A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems

Автор: Hanif D. Sherali; W. P. Adams
Название: A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems
ISBN: 1441948082 ISBN-13(EAN): 9781441948083
Издательство: Springer
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Цена: 34799.00 р.
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Описание: In the Reformulation Phase, certain types of additional implied polynomial constraints, that include the aforementioned constraints in the case of binary variables, are appended to the problem.

Piecewise Constant Orthogonal Functions and Their Application to Systems and Control

Автор: Ganti P. Rao
Название: Piecewise Constant Orthogonal Functions and Their Application to Systems and Control
ISBN: 3540125566 ISBN-13(EAN): 9783540125563
Издательство: Springer
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Цена: 12157.00 р.
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Iterates of Piecewise Monotone Mappings on an Interval

Автор: Chris Preston
Название: Iterates of Piecewise Monotone Mappings on an Interval
ISBN: 3540503293 ISBN-13(EAN): 9783540503293
Издательство: Springer
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Цена: 3492.00 р.
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Описание: Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. This book deals with the properties of the iterates of such mappings. It focuses on the topological aspects of the theory of piecewise monotone mappings.


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