Finite-Dimensional Variational Inequalities and Complementarity Problems
Seiten
2011
|
Softcover reprint of the original 1st ed. 2003
Springer-Verlag New York Inc.
978-1-4419-3063-7 (ISBN)
Springer-Verlag New York Inc.
978-1-4419-3063-7 (ISBN)
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).
Solution Analysis I.- Solution Analysis II.- The Euclidean Projector and Piecewise Functions.- Sensitivity and Stability.- Theory of Error Bounds.
Reihe/Serie | Springer Series in Operations Research and Financial Engineering |
---|---|
Zusatzinfo | 13 Illustrations, black and white; XXXIII, 693 p. 13 illus. |
Verlagsort | New York, NY |
Sprache | englisch |
Maße | 155 x 235 mm |
Themenwelt | Informatik ► Weitere Themen ► CAD-Programme |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik | |
Wirtschaft ► Betriebswirtschaft / Management | |
Wirtschaft ► Volkswirtschaftslehre ► Ökonometrie | |
ISBN-10 | 1-4419-3063-9 / 1441930639 |
ISBN-13 | 978-1-4419-3063-7 / 9781441930637 |
Zustand | Neuware |
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