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＜電子ブック＞
Finite-Dimensional Variational Inequalities and Complementarity Problems / by Francisco Facchinei, Jong-Shi Pang
(Springer Series in Operations Research and Financial Engineering. ISSN:21971773)

版	1st ed. 2003.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2003
本文言語	英語
大きさ	XXXIII, 693 p. 13 illus : online resource
著者標目	*Facchinei, Francisco author Pang, Jong-Shi author SpringerLink (Online service)
件　名	LCSH:Mathematical models LCSH:Operations research LCSH:Management science LCSH:Mathematical optimization LCSH:Game theory LCSH:Econometrics FREE:Mathematical Modeling and Industrial Mathematics FREE:Operations Research, Management Science FREE:Operations Research and Decision Theory FREE:Optimization FREE:Game Theory FREE:Econometrics
一般注記	Solution Analysis I -- Solution Analysis II -- The Euclidean Projector and Piecewise Functions -- Sensitivity and Stability -- Theory of Error Bounds 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) HTTP:URL=https://doi.org/10.1007/b97543

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