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MP
2010
172views more  MP 2010»
13 years 5 months ago
Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
In this paper, we consider approximation algorithms for optimizing a generic multi-variate homogeneous polynomial function, subject to homogeneous quadratic constraints. Such opti...
Simai He, Zhening Li, Shuzhong Zhang
ICARCV
2002
IEEE
132views Robotics» more  ICARCV 2002»
14 years 13 days ago
Integral quadratic constraint approach vs. multiplier approach
Integral quadratic constraints (IQC) arise in many optimal and/or robust control problems. The IQC approach can be viewed as a generalization of the classical multiplier approach ...
Minyue Fu, Soura Dasgupta, Yeng Chai Soh
MP
2007
89views more  MP 2007»
13 years 7 months ago
Sums of random symmetric matrices and quadratic optimization under orthogonality constraints
Let Bi be deterministic real symmetric m × m matrices, and ξi be independent random scalars with zero mean and “of order of one” (e.g., ξi ∼ N(0, 1)). We are interested to...
Arkadi Nemirovski
CSCLP
2008
Springer
13 years 9 months ago
Combining Symmetry Breaking and Global Constraints
Abstract. We propose a new family of constraints which combine together lexicographical ordering constraints for symmetry breaking with other common global constraints. We give a g...
George Katsirelos, Nina Narodytska, Toby Walsh