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140122 ||| eng |
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|a 9780387218151
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|a Facchinei, Francisco
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|a Finite-Dimensional Variational Inequalities and Complementarity Problems
|h Elektronische Ressource
|c by Francisco Facchinei, Jong-Shi Pang
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| 250 |
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|a 1st ed. 2003
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| 260 |
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|a New York, NY
|b Springer New York
|c 2003, 2003
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|a 704 p. 3 illus
|b online resource
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|a 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
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| 653 |
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|a Operations Research, Management Science
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| 653 |
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|a Operations research
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| 653 |
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|a Optimization
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| 653 |
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|a Engineering mathematics
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| 653 |
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|a Management science
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| 653 |
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|a Game Theory
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| 653 |
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|a Game theory
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| 653 |
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|a Engineering / Data processing
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| 653 |
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|a Mathematical optimization
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| 653 |
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|a Operations Research and Decision Theory
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| 653 |
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|a Mathematical and Computational Engineering Applications
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| 700 |
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|a Pang, Jong-Shi
|e [author]
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Springer Series in Operations Research and Financial Engineering
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|a 10.1007/b97544
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| 856 |
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|u https://doi.org/10.1007/b97544?nosfx=y
|x Verlag
|3 Volltext
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|a 003
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| 520 |
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|a 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)
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