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JCP
2007
104views more  JCP 2007»
13 years 9 months ago
Cyclic Convolution Algorithm Formulations Using Polynomial Transform Theory
— This work presents a mathematical framework for the development of efficient algorithms for cyclic convolution computations. The framework is based on the Chinese Reminder Theo...
Abraham H. Diaz-Perez, Domingo Rodríguez
COCO
2010
Springer
144views Algorithms» more  COCO 2010»
14 years 1 months ago
A Regularity Lemma, and Low-Weight Approximators, for Low-Degree Polynomial Threshold Functions
We give a “regularity lemma” for degree-d polynomial threshold functions (PTFs) over the Boolean cube {−1, 1}n . Roughly speaking, this result shows that every degree-d PTF ...
Ilias Diakonikolas, Rocco A. Servedio, Li-Yang Tan...
CORR
2010
Springer
159views Education» more  CORR 2010»
13 years 10 months ago
An Elimination Method for Solving Bivariate Polynomial Systems: Eliminating the Usual Drawbacks
We present an exact and complete algorithm to isolate the real solutions of a zero-dimensional bivariate polynomial system. The proposed algorithm constitutes an elimination metho...
Eric Berberich, Pavel Emeliyanenko, Michael Sagral...
TCS
2011
13 years 4 months ago
Dynamic normal forms and dynamic characteristic polynomial
Abstract. We present the first fully dynamic algorithm for computing the characteristic polynomial of a matrix. In the generic symmetric case our algorithm supports rank-one updat...
Gudmund Skovbjerg Frandsen, Piotr Sankowski
MOC
1998
131views more  MOC 1998»
13 years 9 months ago
An algorithm for evaluation of discrete logarithms in some nonprime finite fields
In this paper we propose an algorithm for evaluation of logarithms in the finite fields Fpn , where the number pn − 1 has a small primitive factor r. The heuristic estimate of ...
Igor A. Semaev