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Titlebook: Finite-Dimensional Variational Inequalities and Complementarity Problems; Francisco Facchinei,Jong-Shi Pang Textbook 2003 Springer Science

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書目名稱Finite-Dimensional Variational Inequalities and Complementarity Problems
編輯Francisco Facchinei,Jong-Shi Pang
視頻videohttp://file.papertrans.cn/344/343680/343680.mp4
叢書名稱Springer Series in Operations Research and Financial Engineering
圖書封面Titlebook: Finite-Dimensional Variational Inequalities and Complementarity Problems;  Francisco Facchinei,Jong-Shi Pang Textbook 2003 Springer Science
描述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?
出版日期Textbook 2003
關(guān)鍵詞algorithm; algorithms; mathematical programming; operations research; optimization; programming
版次1
doihttps://doi.org/10.1007/b97544
isbn_softcover978-1-4419-3064-4
isbn_ebook978-0-387-21815-1Series ISSN 1431-8598 Series E-ISSN 2197-1773
issn_series 1431-8598
copyrightSpringer Science+Business Media New York 2003
The information of publication is updating

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