Variational density matrix optimization using semidefinite programming

Variational density matrix optimization using semidefinite programming

programming Brecht Verstichel, ∗ Helen van Aggelen, Dimitri Van Neck, Paul W. Ayers, and Patrick Bultinck Center for Molecular Modeling, Ghent University, Technologiepark 903, 9052 Zwijnaarde, Belgium Department of Inorganic and Physical Chemistry, Ghent University, Krijgslaan 281 (S3), 9000 Gent, Belgium Department of Chemistry, McMaster University, Hamilton, Ontario, L8S 4M1, Canada Abstract ...

Semidefinite Programming and Combinatorial Optimization

We describe a few applications of semide nite programming in combinatorial optimization Mathematics Subject Classi cation C C C C C R

Semidefinite programming in combinatorial optimization

We discuss the use of semidefinite programming for combinatorial optimization problems. The main topics covered include (i) the Lovfisz theta function and its applications to stable sets, perfect graphs, and coding theory. (it) the automatic generation of strong valid inequalities, (iii) the maximum cut problem and related problems, and (iv) the embedding of finite metric spaces and its relatio...

Kernel Matrix Completion by Semidefinite Programming

GloptiPoly 3: moments, optimization and semidefinite programming

We describe a major update of our Matlab freeware GloptiPoly for parsing generalized problems of moments and solving them numerically with semidefinite programming. 1 What is GloptiPoly ? Gloptipoly 3 is intended to solve, or at least approximate, the Generalized Problem of Moments (GPM), an infinite-dimensional optimization problem which can be viewed as an extension of the classical problem o...