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The linear complementarity problem (Record no. 17004)

000 -Label
leader 03221 2200349 4500
010 ## - ISBN
ISBN 9780898716863
qualificatif br.
090 ## - Numéro biblio (koha)
Numéro biblioitem (koha) 17004
001 - Numéro de notice
Numéro d'identification notice 17004
101 ## - Langue
langue du document anglais
102 ## - Pays de publication ou de production
pays de publication Etats Unis
100 ## - Données générales de traitement
données générales de traitement 20181112 frey50
200 ## - Titre
titre propre The linear complementarity problem
type de document Monographie
Auteur Richard W. Cottle, Jong-Shi Pang, Richard E. Stone
205 ## - Mention d'édition
mention d'édition revised ed. of the 1992 original
210 ## - Editeur
lieu de publication Philadelphia
nom de l'éditeur SIAM
date de publication cop. 2009
215 ## - Description
Importance matérielle 1 vol. (xxvii-761 p.)
autres carac. matérielles ill.
format 24 cm
225 ## - collection
lien interne koha 169327
titre de la collection Classics in applied mathematics
320 ## - Note
note Bibliogr. p. 701-751. Index
330 ## - Résumé
Résumé In this book, the authors attempt to include every major aspect of the LCP. They cover all topics of traditional and current importance, presenting them in a style consistent with a contemporary point of view, and providing the most comprehensive available list of references. This monograph is intended for readers with some background in linear algebra, linear programming and real analysis. All seven chapters of this volume are divided into sections. The opening chapter sets forth a precise statement of the linear complementarity problem and then offers a selection of settings in which such problems arise. Chapter 1 includes a number of other topics, such as equivalent formulations and generalizations of the LCP. The essential background materials needed for the rest of the book is collected in Chapter 2. Chapter 3 is concerned with questions on the existence and multiplicity to linear complementarity problems. Chapter 4 covers the better-known pivoting algorithms (notably principal pivoting methods and Lemke’s method) for solving linear complementarity problems of various kinds; parametric versions are also presented. Algorithms of the latter sort (e.g., matrix splitting methods, a damped Newton method, and interior-point methods) are treated in Chapter 5. Chapter 6 offers a more geometric view of the linear complementarity problem. The concluding Chapter 7 focuses on sensitivity and stability analysis, the study of how small changes in the data affect various aspects of the problem (zbMath)
410 ## - collection
lien interne koha 173967
Editeur SIAM
titre Classics in applied mathematics
676 ## - annee msc
annee msc 2010
686 ## - Classification MSC
code du système msc
lien interne koha 166735
Indice 90-01
Libellé Operations research, mathematical programming
Sous-catégorie Instructional exposition (textbooks, tutorial papers, etc.)
686 ## - Classification MSC
code du système msc
lien interne koha 166778
Indice 90C33
Libellé Operations research, mathematical programming -- Mathematical programming
Sous-catégorie Complementarity and equilibrium problems and variational inequalities (finite dimensions)
686 ## - Classification MSC
code du système msc
lien interne koha 166769
Indice 90C20
Libellé Operations research, mathematical programming -- Mathematical programming
Sous-catégorie Quadratic programming
686 ## - Classification MSC
code du système msc
lien interne koha 165765
Indice 65K05
Libellé Numerical analysis -- Mathematical programming, optimization and variational techniques
Sous-catégorie Mathematical programming methods
700 ## - Auteur
code de fonction Auteur
auteur Cottle
partie du nom autre que l'élément d'entrée Richard Warren
dates 1934-
koha internal code 183276
701 ## - coauteur
code de fonction Auteur
nom Pang
prénom Jong-Shi
koha internal code 183277
701 ## - coauteur
code de fonction Auteur
nom Stone
prénom Richard E.
koha internal code 183278
856 ## - accès
URI https://mathscinet.ams.org/mathscinet-getitem?mr=3396730
note MSN
856 ## - accès
URI https://zbmath.org/?q=an%3A1192.90001
note zbMath
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