| 020 | $a9780387218144$9978-0-387-21814-4 |
| 082 | $a003.3$223 |
| 099 | $aOnline resource: Springer |
| 245 | $aFinite-Dimensional Variational Inequalities and Complementarity Problems$h[EBook] /$cedited by Francisco Facchinei, Jong-Shi Pang. |
| 260 | $aNew York, NY :$bSpringer New York,$c2003. |
| 300 | $aXXXIII, 693 p. 13 illus.$bonline resource. |
| 336 | $atext$btxt$2rdacontent |
| 337 | $acomputer$bc$2rdamedia |
| 338 | $aonline resource$bcr$2rdacarrier |
| 440 | $aSpringer Series in Operations Research and Financial Engineering,$x1431-8598 |
| 505 | $aSolution Analysis I -- Solution Analysis II -- The Euclidean Projector and Piecewise Functions -- Sensitivity and Stability -- Theory of Error Bounds. |
| 520 | $aThe ?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). |
| 538 | $aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| 700 | $aFacchinei, Francisco.$eeditor. |
| 700 | $aPang, Jong-Shi.$eeditor. |
| 710 | $aSpringerLink (Online service) |
| 830 | $aSpringer Series in Operations Research and Financial Engineering,$x1431-8598 |
| 856 | $uhttp://dx.doi.org/10.1007/b97543 |
