University Sétif 1 FERHAT ABBAS Faculty of Sciences
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Auteur Matou¨ek, Jirà |
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Titre : Approximation algorithms and semidefinite programming Type de document : texte imprimé Auteurs : Bernd Gärtner, Auteur ; Matou¨ek, Jirà Editeur : Heidelberg : Springer Année de publication : 2012 Importance : 1 vol.(251 p.) Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-3-642-22014-2 Note générale : 978-3-642-22014-2 Catégories : Informatique Mots-clés : Approximation algorithms
Semidefinite programming
Algorithmes
Programmation (mathématiques)Index. décimale : 005.741 Méthodes d'accès et organisation des fichiers de données Résumé :
Semidefinite programs constitute one of the largest classes of optimization problems that can be solved with reasonable efficiency - both in theory and practice. They play a key role in a variety of research areas, such as combinatorial optimization, approximation algorithms, computational complexity, graph theory, geometry, real algebraic geometry and quantum computing. This book is an introduction to selected aspects of semidefinite programming and its use in approximation algorithms. It covers the basics but also a significant amount of recent and more advanced material. Â
There are many computational problems, such as MAXCUT, for which one cannot reasonably expect to obtain an exact solution efficiently, and in such case, one has to settle for approximate solutions. For MAXCUT and its relatives, exciting recent results suggest that semidefinite programming is probably the ultimate tool. Indeed, assuming the Unique Games Conjecture, a plausible but as yet unproven hypothesis, it was shown that for these problems, known algorithms based on semidefinite programming deliver the best possible approximation ratios among all polynomial-time algorithms.Côte titre : Fs/16101-16105 En ligne : https://www.amazon.fr/Approximation-Algorithms-Semidefinite-Programming-Gartner/ [...] Format de la ressource électronique : Approximation algorithms and semidefinite programming [texte imprimé] / Bernd Gärtner, Auteur ; Matou¨ek, Jirà . - Heidelberg : Springer, 2012 . - 1 vol.(251 p.) : ill. ; 24 cm.
ISBN : 978-3-642-22014-2
978-3-642-22014-2
Catégories : Informatique Mots-clés : Approximation algorithms
Semidefinite programming
Algorithmes
Programmation (mathématiques)Index. décimale : 005.741 Méthodes d'accès et organisation des fichiers de données Résumé :
Semidefinite programs constitute one of the largest classes of optimization problems that can be solved with reasonable efficiency - both in theory and practice. They play a key role in a variety of research areas, such as combinatorial optimization, approximation algorithms, computational complexity, graph theory, geometry, real algebraic geometry and quantum computing. This book is an introduction to selected aspects of semidefinite programming and its use in approximation algorithms. It covers the basics but also a significant amount of recent and more advanced material. Â
There are many computational problems, such as MAXCUT, for which one cannot reasonably expect to obtain an exact solution efficiently, and in such case, one has to settle for approximate solutions. For MAXCUT and its relatives, exciting recent results suggest that semidefinite programming is probably the ultimate tool. Indeed, assuming the Unique Games Conjecture, a plausible but as yet unproven hypothesis, it was shown that for these problems, known algorithms based on semidefinite programming deliver the best possible approximation ratios among all polynomial-time algorithms.Côte titre : Fs/16101-16105 En ligne : https://www.amazon.fr/Approximation-Algorithms-Semidefinite-Programming-Gartner/ [...] Format de la ressource électronique : Exemplaires (5)
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