Aspects of Semidefinite Programming Interior Point Algorithms and Selected Applications /

• Main Author: Klerk, Etienne de (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2002.
• Series: Applied Optimization, 65
• Subjects: Computer science.; Computer programming.; Computers.; Applied mathematics.; Engineering mathematics.; Computer mathematics.; Algorithms.; Mathematical optimization.; Computer Science.; Programming Techniques.; Optimization.; Applications of Mathematics.; Theory of Computation.; Computational Mathematics and Numerical Analysis.

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 p...

Table of Contents:

• Theory and Algorithms
• Duality, Optimality, and Degeneracy
• The Central Path
• Self-Dual Embeddings
• The Primal Logarithmic Barrier Method
• Primal-Dual Affine-Scaling Methods
• Primal-Dual Path-Following Methods
• Primal-Dual Potential Reduction Methods
• Selected Applications
• Convex Quadratic Approximation
• The Lovász ?-Function
• Graph Coulouring and the Max-K-Cut Problem
• The Stability Number of a Graph and Standard Quadratic Optimization
• The Satisfiability Problem.