| 书目名称 | Finite-Dimensional Variational Inequalities and Complementarity Problems | | 编辑 | Francisco Facchinei,Jong-Shi Pang | | 视频video | | | 丛书名称 | Springer Series in Operations Research and Financial Engineering | | 图书封面 |  | | 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 | | 关键词 | Analysis; algorithm; algorithms; mathematical programming; operations research; optimization; programming | | 版次 | 1 | | doi | https://doi.org/10.1007/b97543 | | isbn_softcover | 978-1-4419-3063-7 | | isbn_ebook | 978-0-387-21814-4Series ISSN 1431-8598 Series E-ISSN 2197-1773 | | issn_series | 1431-8598 | | copyright | Springer Science+Business Media New York 2003 |
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发表于 2025-3-21 19:38:15
