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» Geometric lower bounds for parametric matroid optimization
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JCT
2011
84views more  JCT 2011»
13 years 18 days ago
Enumerating isodiametric and isoperimetric polygons
For a positive integer n that is not a power of 2, precisely the same family of convex polygons with n sides is optimal in three different geometric problems. These polygons have ...
Michael J. Mossinghoff
CORR
2007
Springer
91views Education» more  CORR 2007»
13 years 5 months ago
Unequal dimensional small balls and quantization on Grassmann Manifolds
—The Grassmann manifold Gn,p (L) is the set of all p-dimensional planes (through the origin) in the n-dimensional Euclidean space Ln , where L is either R or C. This paper consid...
Wei Dai, Brian Rider, Youjian Liu
MOR
2010
120views more  MOR 2010»
13 years 4 months ago
Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Lojasiewicz In
We study the convergence properties of an alternating proximal minimization algorithm for nonconvex structured functions of the type: L(x, y) = f(x)+Q(x, y)+g(y), where f : Rn → ...
Hedy Attouch, Jérôme Bolte, Patrick R...