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ANTS
2004
Springer
149views Algorithms» more  ANTS 2004»
13 years 10 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
ANTS
2004
Springer
139views Algorithms» more  ANTS 2004»
13 years 10 months ago
Binary GCD Like Algorithms for Some Complex Quadratic Rings
On the lines of the binary gcd algorithm for rational integers, algorithms for computing the gcd are presented for the ring of integers in Q( √ d) where d ∈ {−2, −7, −11,...
Saurabh Agarwal, Gudmund Skovbjerg Frandsen
ANTS
1994
Springer
150views Algorithms» more  ANTS 1994»
13 years 9 months ago
Analysis of a left-shift binary GCD algorithm
Jeffrey Shallit, Jonathan Sorenson
ISSAC
2007
Springer
142views Mathematics» more  ISSAC 2007»
13 years 11 months ago
Fast arithmetic for triangular sets: from theory to practice
We study arithmetic operations for triangular families of polynomials, concentrating on multiplication in dimension zero. By a suitable extension of fast univariate Euclidean divi...
Xin Li, Marc Moreno Maza, Éric Schost
ICCAD
1994
IEEE
109views Hardware» more  ICCAD 1994»
13 years 9 months ago
Efficient breadth-first manipulation of binary decision diagrams
We propose new techniques for efficient breadth-first iterative manipulation of ROBDDs. Breadth-first iterative ROBDD manipulation can potentially reduce the total elapsed time by...
Pranav Ashar, Matthew Cheong