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MOR
2008
73views more  MOR 2008»
8 years 9 months ago
Separation of Nonconvex Sets with General Augmenting Functions
In this paper, we consider two geometric optimization problems that are dual to each other and characterize conditions under which the optimal values of the two problems are equal...
Angelia Nedic, Asuman E. Ozdaglar
JGO
2008
111views more  JGO 2008»
8 years 9 months ago
A geometric framework for nonconvex optimization duality using augmented lagrangian functions
We provide a unifying geometric framework for the analysis of general classes of duality schemes and penalty methods for nonconvex constrained optimization problems. We present a ...
Angelia Nedic, Asuman E. Ozdaglar
SIAMJO
2010
85views more  SIAMJO 2010»
8 years 7 months ago
Metric Subregularity and Calmness for Nonconvex Generalized Equations in Banach Spaces
This paper concerns a generalized equation defined by a closed multifunction between Banach spaces, and we employ variational analysis techniques to provide sufficient and/or nece...
Xi Yin Zheng, Kung Fu Ng
CDC
2015
IEEE
3 years 4 months ago
Solution of optimal power flow problems using moment relaxations augmented with objective function penalization
— The optimal power flow (OPF) problem minimizes the operating cost of an electric power system. Applications of convex relaxation techniques to the non-convex OPF problem have ...
Daniel K. Molzahn, Cédric Josz, Ian A. Hisk...
CORR
2008
Springer
127views Education» more  CORR 2008»
8 years 9 months ago
MAPEL: Achieving Global Optimality for a Non-convex Wireless Power Control Problem
Achieving weighted throughput maximization (WTM) through power control has been a long standing open problem in interference-limited wireless networks. The complicated coupling bet...
Liping Qian, Ying Jun Zhang, Jianwei Huang
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