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SIAMJO
2010
112views more  SIAMJO 2010»
14 years 10 months ago
A Semidefinite Relaxation Scheme for Multivariate Quartic Polynomial Optimization with Quadratic Constraints
We present a general semidefinite relaxation scheme for general n-variate quartic polynomial optimization under homogeneous quadratic constraints. Unlike the existing sum-of-squar...
Zhi-Quan Luo, Shuzhong Zhang
CC
2010
Springer
112views System Software» more  CC 2010»
14 years 10 months ago
Random Cnf's are Hard for the Polynomial Calculus
We show a general reduction that derives lower bounds on degrees of polynomial calculus proofs of tautologies over any field of characteristic other than 2 from lower bounds for r...
Eli Ben-Sasson, Russell Impagliazzo
JAT
2008
51views more  JAT 2008»
15 years 4 months ago
Polynomial reproduction by symmetric subdivision schemes
We first present necessary and sufficient conditions for a linear, binary, uniform, and stationary sub
Nira Dyn, Kai Hormann, Malcolm A. Sabin, Zuowei Sh...
FOCM
2008
82views more  FOCM 2008»
15 years 4 months ago
On the Linear Stability of Splitting Methods
A comprehensive linear stability analysis of splitting methods is carried out by means of a 2
Sergio Blanes, Fernando Casas, Ander Murua
CG
2006
Springer
15 years 7 months ago
Computing Proper Equilibria of Zero-Sum Games
We show that a proper equilibrium of a matrix game can be found in polynomial time by solving a linear (in the number of pure strategies of the two players) number of linear progra...
Peter Bro Miltersen, Troels Bjerre Sørensen