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» Computing Sums of Radicals in Polynomial Time
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FOCS
1991
IEEE
13 years 8 months ago
Computing Sums of Radicals in Polynomial Time
For sums of radicals Pk i=1 i di p i, where i; i are elements of some real algebraic number eld Q( ); di p i 2 R; we present a deterministic polynomial time algorithm to decide wh...
Johannes Blömer
FSTTCS
2010
Springer
13 years 3 months ago
Computing Rational Radical Sums in Uniform TC^0
A fundamental problem in numerical computation and computational geometry is to determine the sign of arithmetic expressions in radicals. Here we consider the simpler problem of d...
Paul Hunter, Patricia Bouyer, Nicolas Markey, Jo&e...
STACS
2005
Springer
13 years 10 months ago
Solving Medium-Density Subset Sum Problems in Expected Polynomial Time
The subset sum problem (SSP) (given n numbers and a target bound B, find a subset of the numbers summing to B), is one of the classical NP-hard problems. The hardness of SSP vari...
Abraham Flaxman, Bartosz Przydatek
CG
2006
Springer
13 years 9 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
SIAMJO
2000
101views more  SIAMJO 2000»
13 years 5 months ago
An Efficient Algorithm for Minimizing a Sum of p-Norms
We study the problem of minimizing a sum of p-norms where p is a fixed real number in the interval [1, ]. Several practical algorithms have been proposed to solve this problem. How...
Guoliang Xue, Yinyu Ye