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Finite-Dimensional Variational Inequalities and Complementarity Problems / by Francisco Facchinei, Jong-Shi Pang
(Springer Series in Operations Research and Financial Engineering. ISSN:21971773)
Edition | 1st ed. 2003. |
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Publisher | (New York, NY : Springer New York : Imprint: Springer) |
Year | 2003 |
Language | English |
Size | 704 p. 3 illus : online resource |
Authors | *Facchinei, Francisco author Pang, Jong-Shi author SpringerLink (Online service) |
Subjects | LCSH:Operations research LCSH:Management science LCSH:Mathematical optimization LCSH:Game theory LCSH:Engineering mathematics LCSH:Engineering -- Data processing All Subject Search FREE:Operations Research, Management Science FREE:Optimization FREE:Operations Research and Decision Theory FREE:Game Theory FREE:Mathematical and Computational Engineering Applications |
Notes | Local Methods for Nonsmooth Equations -- Global Methods for Nonsmooth Equations -- Equation-Based Algorithms for CPs -- Algorithms for VIs -- Interior and Smoothing Methods -- Methods for Monotone Problems 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/b97544 |
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E-Book | Location | Media type | Volume | Call No. | Status | Reserve | Comments | ISBN | Printed | Restriction | Designated Book | Barcode No. |
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E-Book | オンライン | 電子ブック |
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Springer eBooks | 9780387218151 |
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電子リソース |
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EB00238373 |
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Material Type | E-Book |
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Classification | LCC:T57.6-57.97 LCC:T55.4-60.8 DC23:003 |
ID | 4000104461 |
ISBN | 9780387218151 |
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