Aspects of Semidefinite Programming Interior Point Algorithms and Selected Applications

Semidefinite programming has been described as linear programming for the year 2000. It is an exciting new branch of mathematical programming, due to important applications in control theory, combinatorial optimization and other fields. Moreover, the successful interior point algorithms for linear programming can be extended to semidefinite programming.
In this monograph the basic theory of interior point algorithms is explained. This includes the latest results on the properties of the central path as well as the analysis of the most important classes of algorithms. Several "classic" applications of semidefinite programming are also described in detail. These include the Lovász theta function and the MAX-CUT approximation algorithm by Goemans and Williamson.
Audience: Researchers or graduate students in optimization or related fields, who wish to learn more about the theory and applications of semidefinite programming.

Zusammenfassung

Semidefinite programming has been described as linear programming for the year 2000. It is an exciting new branch of mathematical programming, due to important applications in control theory, combinatorial optimization and other fields. Moreover, the successful interior point algorithms for linear programming can be extended to semidefinite programming.


In this monograph the basic theory of interior point algorithms is explained. This includes the latest results on the properties of the central path as well as the analysis of the most important classes of algorithms. Several "classic" applications of semidefinite programming are also described in detail. These include the Lovász theta function and the MAX-CUT approximation algorithm by Goemans and Williamson.


Audience: Researchers or graduate students in optimization or related fields, who wish to learn more about the theory and applications of semidefinite programming.

Produktdetails

• Autoren: E. de Klerk, E. Klerk, E. de Klerk, E de Klerk
• Verlag: Springer, Berlin
• Sprachen: Englisch
• Inhalt: Buch
• Produktform: Fester Einband
• Erscheinungsdatum: 24.02.2011
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Informatik, EDV > Informatik
• EAN: 9781402005473
• ISBN: 978-1-4020-0547-3
• Anzahl Seiten: 288
• Illustration: XVI, 288 p.
• Abmessung (Verpackung): 16 x 24 cm
• Gewicht (Verpackung): 1’340 g
• Serie: Applied Optimization > 65; Applied Optimization
• Themen: B, Algorithms, Optimization, Mathematics, computer science, algorithms and data structures, Theory of Computation, Mathematics and Statistics, Applications of Mathematics, Programming Techniques, Computational Mathematics and Numerical Analysis, Numerical analysis, Mathematical theory of computation, Applied mathematics, Mathematical optimization, Mathematics—Data processing