Finite-Dimensional Variational Inequalities and Complementarity Problems:
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2003
|
| Schriftenreihe: | Springer Series in Operations Research and Financial Engineering
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The finite-dimensional nonlinear complementarity problem (NCP) is a system of finitely many nonlinear inequalities in finitely 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 optimisation problems in finite dimensions, provides a powerful framework for the modeling of equilibria of many kinds, and exhibits a natural link between smooth and nonsmooth mathematics. The finite-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 finite-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 field of mathematical programming. The developments include a rich mathematical theory, a host of effective 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 benefited from contributions made by mathematicians (pure, applied, and computational), computer scientists, engineers of many kinds (civil, chemical, electrical, mechanical, and systems), and economists of diverse expertise (agricultural, computational, energy, financial, and spatial) |
| Beschreibung: | 1 Online-Ressource (704 p) |
| ISBN: | 9780387218151 9780387955810 |
| ISSN: | 1431-8598 |
| DOI: | 10.1007/b97544 |
Internformat
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| 500 | |a The finite-dimensional nonlinear complementarity problem (NCP) is a system of finitely many nonlinear inequalities in finitely 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 optimisation problems in finite dimensions, provides a powerful framework for the modeling of equilibria of many kinds, and exhibits a natural link between smooth and nonsmooth mathematics. The finite-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 finite-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 field of mathematical programming. The developments include a rich mathematical theory, a host of effective 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 benefited from contributions made by mathematicians (pure, applied, and computational), computer scientists, engineers of many kinds (civil, chemical, electrical, mechanical, and systems), and economists of diverse expertise (agricultural, computational, energy, financial, and spatial) | ||
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/b97544 |
| format | Electronic eBook |
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| id | DE-604.BV042419005 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:03Z |
| institution | BVB |
| isbn | 9780387218151 9780387955810 |
| issn | 1431-8598 |
| language | English |
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| spelling | Finite-Dimensional Variational Inequalities and Complementarity Problems edited by Francisco Facchinei, Jong-Shi Pang New York, NY Springer New York 2003 1 Online-Ressource (704 p) txt rdacontent c rdamedia cr rdacarrier Springer Series in Operations Research and Financial Engineering 1431-8598 The finite-dimensional nonlinear complementarity problem (NCP) is a system of finitely many nonlinear inequalities in finitely 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 optimisation problems in finite dimensions, provides a powerful framework for the modeling of equilibria of many kinds, and exhibits a natural link between smooth and nonsmooth mathematics. The finite-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 finite-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 field of mathematical programming. The developments include a rich mathematical theory, a host of effective 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 benefited from contributions made by mathematicians (pure, applied, and computational), computer scientists, engineers of many kinds (civil, chemical, electrical, mechanical, and systems), and economists of diverse expertise (agricultural, computational, energy, financial, and spatial) Mathematics Mathematical optimization Operations research Engineering mathematics Operations Research, Mathematical Programming Optimization Operations Research/Decision Theory Game Theory, Economics, Social and Behav. Sciences Appl.Mathematics/Computational Methods of Engineering Mathematik Facchinei, Francisco edt Pang, Jong-Shi edt https://doi.org/10.1007/b97544 Verlag Volltext |
| spellingShingle | Finite-Dimensional Variational Inequalities and Complementarity Problems Mathematics Mathematical optimization Operations research Engineering mathematics Operations Research, Mathematical Programming Optimization Operations Research/Decision Theory Game Theory, Economics, Social and Behav. Sciences Appl.Mathematics/Computational Methods of Engineering Mathematik |
| title | Finite-Dimensional Variational Inequalities and Complementarity Problems |
| title_auth | Finite-Dimensional Variational Inequalities and Complementarity Problems |
| title_exact_search | Finite-Dimensional Variational Inequalities and Complementarity Problems |
| title_full | Finite-Dimensional Variational Inequalities and Complementarity Problems edited by Francisco Facchinei, Jong-Shi Pang |
| title_fullStr | Finite-Dimensional Variational Inequalities and Complementarity Problems edited by Francisco Facchinei, Jong-Shi Pang |
| title_full_unstemmed | Finite-Dimensional Variational Inequalities and Complementarity Problems edited by Francisco Facchinei, Jong-Shi Pang |
| title_short | Finite-Dimensional Variational Inequalities and Complementarity Problems |
| title_sort | finite dimensional variational inequalities and complementarity problems |
| topic | Mathematics Mathematical optimization Operations research Engineering mathematics Operations Research, Mathematical Programming Optimization Operations Research/Decision Theory Game Theory, Economics, Social and Behav. Sciences Appl.Mathematics/Computational Methods of Engineering Mathematik |
| topic_facet | Mathematics Mathematical optimization Operations research Engineering mathematics Operations Research, Mathematical Programming Optimization Operations Research/Decision Theory Game Theory, Economics, Social and Behav. Sciences Appl.Mathematics/Computational Methods of Engineering Mathematik |
| url | https://doi.org/10.1007/b97544 |
| work_keys_str_mv | AT facchineifrancisco finitedimensionalvariationalinequalitiesandcomplementarityproblems AT pangjongshi finitedimensionalvariationalinequalitiesandcomplementarityproblems |