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» The complexity of greatest common divisor computations
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CSUR
2004
91views more  CSUR 2004»
13 years 7 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»
13 years 11 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»
13 years 6 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»
14 years 23 days 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»
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...