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» Algorithms for trigonometric polynomials
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153
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AUTOMATICA
2008
167views more  AUTOMATICA 2008»
15 years 5 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....
155
Voted
CORR
2008
Springer
125views Education» more  CORR 2008»
15 years 5 months ago
Semidefinite programming for N-Player Games
Abstract. We introduce two min-max problems: the first problem is to minimize the supremum of finitely many rational functions over a compact basic semi-algebraic set whereas the s...
Rida Laraki, Jean B. Lasserre
IPL
2006
86views more  IPL 2006»
15 years 5 months ago
Monotone circuits for monotone weighted threshold functions
Weighted threshold functions with positive weights are a natural generalization of unweighted threshold functions. These functions are clearly monotone. However, the naive way of ...
Amos Beimel, Enav Weinreb
CORR
2007
Springer
124views Education» more  CORR 2007»
15 years 5 months ago
Interpolation in Valiant's theory
We investigate the following question: if a polynomial can be evaluated at rational points by a polynomial-time boolean algorithm, does it have a polynomial-size arithmetic circuit...
Pascal Koiran, Sylvain Perifel
171
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SMA
2008
ACM
154views Solid Modeling» more  SMA 2008»
15 years 5 months ago
Consistent computation of first- and second-order differential quantities for surface meshes
Differential quantities, including normals, curvatures, principal directions, and associated matrices, play a fundamental role in geometric processing and physics-based modeling. ...
Xiangmin Jiao, Hongyuan Zha