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» Convexity, Duality and Effects
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EOR
2000
64views more  EOR 2000»
13 years 7 months ago
Multiobjective second order symmetric duality with cone constraints
We introduce two pairs of nondifferentiable multiobjective second order symmetric dual problems with cone constraints over arbitrary closed convex cones, which is different from th...
S. K. Mishra
MOR
2006
94views more  MOR 2006»
13 years 7 months ago
Conditional Risk Mappings
We introduce an axiomatic definition of a conditional convex risk mapping and we derive its properties. In particular, we prove a representation theorem for conditional risk mappi...
Andrzej Ruszczynski, Alexander Shapiro
SIAMJO
2011
13 years 2 months ago
A Unifying Polyhedral Approximation Framework for Convex Optimization
Abstract. We propose a unifying framework for polyhedral approximation in convex optimization. It subsumes classical methods, such as cutting plane and simplicial decomposition, bu...
Dimitri P. Bertsekas, Huizhen Yu
TCOM
2011
83views more  TCOM 2011»
13 years 2 months ago
Minimizing Sum-MSE Implies Identical Downlink and Dual Uplink Power Allocations
—Minimizing the sum of mean squared errors using linear transceivers under a sum power constraint in the multiuser downlink is a non-convex problem. Existing algorithms exploit a...
Adam J. Tenenbaum, Raviraj S. Adve
HYBRID
2005
Springer
14 years 1 months ago
Primal-Dual Tests for Safety and Reachability
Abstract. A methodology for safety verification using barrier certificates has been proposed recently. Conditions that must be satisfied by a barrier certificate can be formula...
Stephen Prajna, Anders Rantzer