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» Approximate Integer Common Divisors
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CSUR
2004
91views more  CSUR 2004»
13 years 5 months ago
Line drawing, leap years, and Euclid
Bresenham's algorithm minimizes error in drawing lines on integer grid points; leap year calculations, surprisingly, are a generalization. We compare the two calculations, exp...
Mitchell A. Harris, Edward M. Reingold
WEA
2009
Springer
104views Algorithms» more  WEA 2009»
14 years 22 days 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...
ISSAC
2004
Springer
118views Mathematics» more  ISSAC 2004»
13 years 11 months ago
The approximate GCD of inexact polynomials
This paper presents an algorithm and its implementation for computing the approximate GCD (greatest common divisor) of multivariate polynomials whose coefficients may be inexact. ...
Zhonggang Zeng, Barry H. Dayton
ANTS
2004
Springer
149views Algorithms» more  ANTS 2004»
13 years 11 months ago
A Binary Recursive Gcd Algorithm
The binary algorithm is a variant of the Euclidean algorithm that performs well in practice. We present a quasi-linear time recursive algorithm that computes the greatest common di...
Damien Stehlé, Paul Zimmermann
DISCO
1993
114views Hardware» more  DISCO 1993»
13 years 10 months ago
Gauss: A Parameterized Domain of Computation System with Support for Signature Functions
The fastest known algorithms in classical algebra make use of signature functions. That is, reducing computation with formulae to computing with the integers modulo p, by substitut...
Michael B. Monagan