Sciweavers

208 search results - page 13 / 42
» Arithmetic Operations in the Polynomial Modular Number Syste...
Sort
View
ARITH
2003
IEEE
14 years 29 days ago
The Interval Logarithmic Number System
This paper introduces the Interval Logarithmic Number System (ILNS), in which the Logarithmic Number System (LNS) is used as the underlying number system for interval arithmetic. ...
Mark G. Arnold, Jesus Garcia, Michael J. Schulte
WEA
2009
Springer
104views Algorithms» more  WEA 2009»
14 years 2 months ago
Univariate Algebraic Kernel and Application to Arrangements
We present a cgal-based univariate algebraic kernel, which provides certied real-root isolation of univariate polynomials with integer coecients and standard functionalities such...
Sylvain Lazard, Luis Mariano Peñaranda, Eli...
FOCS
1992
IEEE
13 years 11 months ago
Maximizing Non-Linear Concave Functions in Fixed Dimension
Consider a convex set P in IRd and a piecewise polynomial concave function F: P IR. Let A be an algorithm that given a point x IRd computes F(x) if x P, or returns a concave po...
Sivan Toledo
CORR
2006
Springer
101views Education» more  CORR 2006»
13 years 7 months ago
Fast computation of power series solutions of systems of differential equations
We propose algorithms for the computation of the first N terms of a vector (or a full basis) of power series solutions of a linear system of differential equations at an ordinary ...
Alin Bostan, Frédéric Chyzak, Fran&c...
AAECC
2005
Springer
99views Algorithms» more  AAECC 2005»
13 years 7 months ago
Formulae for Arithmetic on Genus 2 Hyperelliptic Curves
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete logarithm problem. In this article we present explicit formulae to perform the gro...
Tanja Lange