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AUTOMATICA
2006
64views more  AUTOMATICA 2006»
13 years 4 months ago
On the facet-to-facet property of solutions to convex parametric quadratic programs
In some of the recently-developed algorithms for convex parametric quadratic programs it is implicitly assumed that the intersection of the closures of two adjacent critical regio...
Jørgen Spjøtvold, Eric C. Kerrigan, ...
ICPR
2008
IEEE
14 years 5 months ago
Image segmentation by convex quadratic programming
A quadratic programming formulation for multiclass image segmentation is investigated. It is proved that, in the convex case, the non-negativity constraint on the recent reported ...
Mariano Rivera, Oscar Dalmau Cedeño, Josue ...
MP
2011
12 years 11 months ago
An FPTAS for minimizing the product of two non-negative linear cost functions
We consider a quadratic programming (QP) problem (Π) of the form min xT Cx subject to Ax ≥ b where C ∈ Rn×n + , rank(C) = 1 and A ∈ Rm×n , b ∈ Rm . We present an FPTAS ...
Vineet Goyal, Latife Genç Kaya, R. Ravi
MP
2002
195views more  MP 2002»
13 years 4 months ago
Nonlinear rescaling vs. smoothing technique in convex optimization
We introduce an alternative to the smoothing technique approach for constrained optimization. As it turns out for any given smoothing function there exists a modification with part...
Roman A. Polyak
APPROX
2010
Springer
207views Algorithms» more  APPROX 2010»
13 years 6 months ago
Exploiting Concavity in Bimatrix Games: New Polynomially Tractable Subclasses
Abstract. We study the fundamental problem of computing an arbitrary Nash equilibrium in bimatrix games. We start by proposing a novel characterization of the set of Nash equilibri...
Spyros C. Kontogiannis, Paul G. Spirakis