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» The complexity of greatest common divisor computations
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CSUR
2004
91views more  CSUR 2004»
14 years 11 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
ISSAC
1995
Springer
108views Mathematics» more  ISSAC 1995»
15 years 3 months ago
A Solution to the Extended GCD Problem
An improved method for expressing the greatest common divisor of n numbers as an integer linear combination of the numbers is presented and analyzed, both theoretically and practi...
Bohdan S. Majewski, George Havas
MICS
2007
128views more  MICS 2007»
14 years 11 months ago
Structured Low Rank Approximation of a Bezout Matrix
The task of determining the approximate greatest common divisor (GCD) of more than two univariate polynomials with inexact coefficients can be formulated as computing for a given B...
Dongxia Sun, Lihong Zhi
ANTS
2004
Springer
149views Algorithms» more  ANTS 2004»
15 years 5 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
WEA
2009
Springer
104views Algorithms» more  WEA 2009»
15 years 6 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...