Probabilistic analyses of the plain multiple gcd algorithm-Reference-Cited by-同舟云学术

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Probabilistic analyses of the plain multiple gcd algorithm

Published:2016-05 Issue: Volume:74 Page:425-474
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Berthé Valérie,Lhote Loïck,Vallée Brigitte

Funder

Agence Nationale de la Recherche

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference27 articles.

1. On the reduction of a random basis;Akhavi;ESAIM Probab. Stat.,2009

2. Euclidean algorithms are Gaussian;Baladi;J. Number Theory,2005

3. Multiple gcds. probabilistic analysis of the plain algorithm;Berthé,2013

4. On continued fraction expansions in positive characteristic: equivalence relations and some metric properties;Berthé;Expo. Math.,2000

5. Analysis of the binary Euclidean algorithm;Brent,1976

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analysis of generalized continued fraction algorithms over polynomials;Finite Fields and Their Applications;2021-08

2. Storage efficient algorithm for Hermite Normal Form using LLL;Linear Algebra and its Applications;2021-03

3. Gaussian behavior of quadratic irrationals;Acta Arithmetica;2021

4. Asymptotic Analysis of Regular Sequences;Algorithmica;2019-10-25

5. The Brun gcd algorithm in high dimensions is almost always subtractive;Journal of Symbolic Computation;2018-03

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