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JDA
2008
62views more  JDA 2008»
13 years 5 months ago
A parallel extended GCD algorithm
A new parallel extended GCD algorithm is proposed. It matches the best existing parallel integer GCD algorithms of Sorenson and Chor and Goldreich, since it can be achieved in O (...
Sidi Mohamed Sedjelmaci
AICCSA
2001
IEEE
177views Hardware» more  AICCSA 2001»
13 years 9 months ago
On a Parallel Extended Euclidean Algorithm
A new parallelization of Euclid's greatest common divisor algorithm is proposed. It matches the best existing integer GCD algorithms since it can be achieved in parallel O(n/...
Sidi Mohamed Sedjelmaci
ISSAC
1995
Springer
108views Mathematics» more  ISSAC 1995»
13 years 9 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
ISSAC
2007
Springer
199views Mathematics» more  ISSAC 2007»
13 years 11 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