Finite-dimensional Variational Inequalities and Complementarity Problems
Facchinei, Francisco; Pang, Jong-Shi
ISBN 10: 1441930639 ISBN 13: 9781441930637
Editore: Springer, 2011
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Riassunto:
This is part one of a two-volume work presenting a definitive and comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. This volume covers the basic theory needed and should appeal to mathematicians, economists, and engineers working in the area.
Recensione:
From the reviews:
"The first volume consists of the first six chapters, which present the basic theory of VIs and CPs. ... Besides the main text, each chapter contains (a) an extensive set of exercises ... and (b) a set of notes and comments that document historical accounts, give the sources for the results in the main text, and provide discussions and references on related topics and extensions. ... The book is written very well and is an important contribution to the fields of VIs and CPs." (Jürgen Guddat, Zentralblatt MATH, Vol. 1062 (13), 2005)
"This ... monograph presents a comprehensive and state-of-the-art treatment of variational inequalities (VI) in finite dimensions. ... The presentation is clear, consistent, and essentially self-contained. The book contains a lot of new research material and recent results ... . The discussion of related literature is a mine both for researchers and new comers ... . the book is of high value not only for specialists, but for a wide range of readers ... . It may recommended both for researchers and advanced students ... ." (Diethard Klatte, OR-News, March, 2005)
"Represents a successful endeavour resulting in a valuable source for researchers, advanced graduates, and for practitioners with an applied mathematics background. It will also well augment a library’s section on variational inequalities (VIs) and complementarity problems (CPs). ... merits of the book include the motivation and guideline at the beginning of each chapter, a variety of exercises, further discussion in the form of notes and comments and pointers to the relevant literature at the end of each chapter, and a comprehensive reference list ... ." (M Hintermueller, Journal of the Operational Research Society, Vol. 55 (9), 2004)
"This ... monograph, written for novice and expert researchers and advanced graduate students in a wide range of disciplines, presents a comprehensive, state-of-the-art treatment of the finite-dimensional variational inequality and complementarity problem ... . It includes every major aspect of VI/CP ... including novel application domains." (Quarterly of Applied Mathematics, Vol. LXI (3), 2003)
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Titolo: Finite-dimensional Variational Inequalities ...
Casa editrice: Springer
Data di pubblicazione: 2011
Legatura: Brossura
Condizione: New
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Finite-Dimensional Variational Inequalities and Complementarity Problems (eng)
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This is part one of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It covers the basic theory of finite dimensional variational inequalities and complementarity problem. Codice articolo 4173524
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Finite-Dimensional Variational Inequalities and Complementarity Problems
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Taschenbuch. Condizione: Neu. Finite-Dimensional Variational Inequalities and Complementarity Problems | Jong-Shi Pang (u. a.) | Taschenbuch | xxxiii | Englisch | 2011 | Springer US | EAN 9781441930637 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Codice articolo 107252901
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Finite-Dimensional Variational Inequalities and Complementarity Problems
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ISBN 10: 1441930639
ISBN 13: 9781441930637
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is part one of a two-volume work presenting a comprehensive treatment of the finite-dimensional variational inequality and complementarity problem. It covers the basic theory of finite dimensional variational inequalities and complementarity problems. Coverage includes abundant exercises as well as an extensive bibliography. The book will be an enduring reference on the subject and provide the foundation for its sustained growth. 728 pp. Englisch. Codice articolo 9781441930637
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Finite-Dimensional Variational Inequalities and Complementarity Problems
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Springer New York, Springer US Dez 2011, 2011
ISBN 10: 1441930639
ISBN 13: 9781441930637
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Taschenbuch. Condizione: Neu. Neuware -The nite-dimensional nonlinear complementarity problem (NCP) is a s- tem of nitely many nonlinear inequalities in nitely many nonnegative variables along with a special equation that expresses the complementary relationship between the variables and corresponding inequalities. This complementarity condition is the key feature distinguishing the NCP from a general inequality system, lies at the heart of all constrained optimi- tion problems in nite dimensions, provides a powerful framework for the modeling of equilibria of many kinds, and exhibits a natural link between smooth and nonsmooth mathematics. The nite-dimensional variational inequality (VI), which is a generalization of the NCP, provides a broad unifying setting for the study of optimization and equilibrium problems and serves as the main computational framework for the practical solution of a host of continuum problems in the mathematical sciences. The systematic study of the nite-dimensional NCP and VI began in the mid-1960s; in a span of four decades, the subject has developed into a very fruitful discipline in the eld of mathematical programming. The - velopments include a rich mathematical theory, a host of e ective solution algorithms, a multitude of interesting connections to numerous disciplines, and a wide range of important applications in engineering and economics. As a result of their broad associations, the literature of the VI/CP has bene ted from contributions made by mathematicians (pure, applied, and computational), computer scientists, engineers of many kinds (civil, ch- ical, electrical, mechanical, and systems), and economists of diverse exp- tise (agricultural, computational, energy, nancial, and spatial).Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 728 pp. Englisch. Codice articolo 9781441930637
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Finite-Dimensional Variational Inequalities and Complementarity Problems (Springer Series in Operations Research and Financial Engineering)
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Finite-Dimensional Variational Inequalities and Complementarity Problems
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Springer New York, Springer US, 2011
ISBN 10: 1441930639
ISBN 13: 9781441930637
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The nite-dimensional nonlinear complementarity problem (NCP) is a s- tem of nitely many nonlinear inequalities in nitely many nonnegative variables along with a special equation that expresses the complementary relationship between the variables and corresponding inequalities. This complementarity condition is the key feature distinguishing the NCP from a general inequality system, lies at the heart of all constrained optimi- tion problems in nite dimensions, provides a powerful framework for the modeling of equilibria of many kinds, and exhibits a natural link between smooth and nonsmooth mathematics. The nite-dimensional variational inequality (VI), which is a generalization of the NCP, provides a broad unifying setting for the study of optimization and equilibrium problems and serves as the main computational framework for the practical solution of a host of continuum problems in the mathematical sciences. The systematic study of the nite-dimensional NCP and VI began in the mid-1960s; in a span of four decades, the subject has developed into a very fruitful discipline in the eld of mathematical programming. The - velopments include a rich mathematical theory, a host of e ective solution algorithms, a multitude of interesting connections to numerous disciplines, and a wide range of important applications in engineering and economics. As a result of their broad associations, the literature of the VI/CP has bene ted from contributions made by mathematicians (pure, applied, and computational), computer scientists, engineers of many kinds (civil, ch- ical, electrical, mechanical, and systems), and economists of diverse exp- tise (agricultural, computational, energy, nancial, and spatial). Codice articolo 9781441930637
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