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» On Chebyshev Polynomials of Matrices
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JAT
2010
61views more  JAT 2010»
13 years 5 months ago
Close-to-optimal bounds for SU(N) loop approximation
In [6], we proved an asymptotic O(n−α/(α+1)) bound for the approximation of SU(N) loops (N ≥ 2) with Lipschitz smoothness α > 1/2 by polynomial loops of degree ≤ n. Th...
Peter Oswald, Tatiana Shingel
SIGECOM
2003
ACM
135views ECommerce» more  SIGECOM 2003»
14 years 19 days ago
Playing large games using simple strategies
We prove the existence of -Nash equilibrium strategies with support logarithmic in the number of pure strategies. We also show that the payoffs to all players in any (exact) Nash...
Richard J. Lipton, Evangelos Markakis, Aranyak Meh...
STOC
2009
ACM
156views Algorithms» more  STOC 2009»
14 years 8 months ago
Polynomial-time theory of matrix groups
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
László Babai, Robert Beals, Á...
FSTTCS
2009
Springer
14 years 1 months ago
The Power of Depth 2 Circuits over Algebras
We study the problem of polynomial identity testing (PIT) for depth 2 arithmetic circuits over matrix algebra. We show that identity testing of depth 3 (ΣΠΣ) arithmetic circuit...
Chandan Saha, Ramprasad Saptharishi, Nitin Saxena
AUTOMATICA
2008
167views more  AUTOMATICA 2008»
13 years 7 months ago
Stability and robustness analysis of nonlinear systems via contraction metrics and SOS programming
A wide variety of stability and performance questions about linear dynamical systems can be reformulated as convex optimization problems involving linear matrix inequalities (LMIs...
Erin M. Aylward, Pablo A. Parrilo, Jean-Jacques E....