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Handbook on Semidefinite, Conic and Polynomial Optimization
Lasserre J., Miguel A. F.
Miguel Anjos and Jean B. Lasserre (Ed.) (2011) 968 - http://hal.archives-ouvertes.fr/hal-00697757
Ouvrages scientifiques
Mathématiques/Optimisation et contrôle
Handbook on Semidefinite, Conic and Polynomial Optimization
Jean Lasserre (, http://www.laas.fr/~lasserre) 1, Anjos F. Miguel (, http://www.gerad.ca/files/Sites/Anjos/indexFR.html) 2
1 :  Laboratoire d'analyse et d'architecture des systèmes (LAAS)
http://www.laas.fr
CNRS : UPR8001 – Université Paul Sabatier [UPS] - Toulouse III – Institut National Polytechnique de Toulouse - INPT – Institut National des Sciences Appliquées (INSA) - Toulouse
7 Av du colonel Roche 31077 TOULOUSE CEDEX 4
France
2 :  GERAD (GERAD)
HEC MONTRÉAL – Polytechnique Montreal – McGill University – Université du Québec
HEC Montréal 3000, chemin de la Côte-Sainte-Catherine Montréal (Québec) Canada H3T 2A7
Canada
Semidefinite and conic optimization is a major and thriving research area within the optimization community. Although semidefinite optimization has been studied (under different names) since at least the 1940s, its importance grew immensely during the 1990s after polynomial-time interior-point methods for linear optimization were extended to solve semidefinite optimization problems. Since the beginning of the 21st century, not only has research into semidefinite and conic optimization continued unabated, but also a fruitful interaction has developed with algebraic geometry through the close connections between semidefinite matrices and polynomial optimization. This has brought about important new results and led to an even higher level of research activity. This Handbook on Semidefinite, Conic and Polynomial Optimization provides the reader with a snapshot of the state-of-the-art in the growing and mutually enriching areas of semidefinite optimization, conic optimization, and polynomial optimization. It contains a compendium of the recent research activity that has taken place in these thrilling areas, and will appeal to doctoral students, young graduates, and experienced researchers alike.
Anglais
01/05/2011

978-1-4614-0768-3
internationale
Springer
01/11/2011
968
Miguel Anjos and Jean B. Lasserre
International Series in Operations Research & Management Science

Optimization – Semidefinite programming – Conic optimization – Polynomial optimization
Rapport LAAS n° 12238