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» A Solution to the Extended GCD Problem
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ISSAC
1995
Springer
108views Mathematics» more  ISSAC 1995»
13 years 8 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
MFCS
1999
Springer
13 years 9 months ago
The Complexity of the Extended GCD Problem
George Havas, Jean-Pierre Seifert
ISSAC
2009
Springer
184views Mathematics» more  ISSAC 2009»
13 years 11 months ago
An iterative method for calculating approximate GCD of univariate polynomials
We present an iterative algorithm for calculating approximate greatest common divisor (GCD) of univariate polynomials with the real coefficients. For a given pair of polynomials a...
Akira Terui
ISSAC
2005
Springer
115views Mathematics» more  ISSAC 2005»
13 years 10 months ago
Algorithms for the non-monic case of the sparse modular GCD algorithm
Let G = (4y2 + 2z)x2 + (10y2 + 6z) be the greatest common divisor (gcd) of two polynomials A, B ∈   [x,y, z]. Because G is not monic in the main variable x, the sparse modular ...
Jennifer de Kleine, Michael B. Monagan, Allan D. W...
ISSAC
2007
Springer
199views Mathematics» more  ISSAC 2007»
13 years 10 months ago
A sparse modular GCD algorithm for polynomials over algebraic function fields
We present a first sparse modular algorithm for computing a greatest common divisor of two polynomials f1, f2 ∈ L[x] where L is an algebraic function field in k ≥ 0 paramete...
Seyed Mohammad Mahdi Javadi, Michael B. Monagan