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ARITH
2007
IEEE
15 years 4 months ago
An Algorithm for Inversion in GF(2^m) Suitable for Implementation Using a Polynomial Multiply Instruction on GF(2)
An algorithm for inversion in GF(2m ) suitable for implementation using a polynomial multiply instruction on GF(2) is proposed. It is based on the extended Euclid's algorithm...
Katsuki Kobayashi, Naofumi Takagi, Kazuyoshi Takag...
114
Voted
MP
2010
172views more  MP 2010»
14 years 11 months ago
Approximation algorithms for homogeneous polynomial optimization with quadratic constraints
In this paper, we consider approximation algorithms for optimizing a generic multi-variate homogeneous polynomial function, subject to homogeneous quadratic constraints. Such opti...
Simai He, Zhening Li, Shuzhong Zhang
STOC
1998
ACM
111views Algorithms» more  STOC 1998»
15 years 4 months ago
A Deterministic Strongly Polynomial Algorithm for Matrix Scaling and Approximate Permanents
We present a deterministic strongly polynomial algorithm that computes the permanent of a nonnegative n × n matrix to within a multiplicative factor of en. To this end we develop...
Nathan Linial, Alex Samorodnitsky, Avi Wigderson
ISSAC
1999
Springer
116views Mathematics» more  ISSAC 1999»
15 years 5 months ago
On the Genericity of the Modular Polynomial GCD Algorithm
In this paper we study the generic setting of the modular GCD algorithm. We develop the algorithm for multivariate polynomials over Euclidean domains which have a special kind of ...
Erich Kaltofen, Michael B. Monagan
87
Voted
IWOCA
2009
Springer
152views Algorithms» more  IWOCA 2009»
15 years 7 months ago
Better Polynomial Algorithms on Graphs of Bounded Rank-Width
Abstract. Although there exist many polynomial algorithms for NPhard problems running on a bounded clique-width expression of the input graph, there exists only little comparable w...
Robert Ganian, Petr Hlinený