Nearly optimal algorithms for the decomposition of multivariate rational functions and the extended Lüroth Theorem-Reference-Cited by-同舟云学术

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Nearly optimal algorithms for the decomposition of multivariate rational functions and the extended Lüroth Theorem

Published:2010-08 Issue:4 Volume:26 Page:344-363
ISSN:0885-064X
Container-title:Journal of Complexity
language:en
Short-container-title:Journal of Complexity

Author:

Chèze Guillaume

Publisher

Elsevier BV

Subject

Applied Mathematics,Control and Optimization,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,General Mathematics

Reference41 articles.

1. Translates of polynomials;Abhyankar,2003

2. Fast polynomial decomposition algorithms;Alagar,1985

3. A rational function decomposition algorithm by near-separated polynomials;Alonso;J. Symbolic Comput.,1995

4. Polynomial decomposition algorithms;Barton;J. Symbolic Comput.,1985

5. Fundamental algorithms;Bini,1994

Cited by 4 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. Bounding the number of remarkable values via Jouanolou's theorem;Journal of Differential Equations;2015-05

2. Effective differential Luroth's theorem;J ALGEBRA;2014

3. Effective differential Lüroth's theorem;Journal of Algebra;2014-05

4. Counting decomposable multivariate polynomials;Applicable Algebra in Engineering, Communication and Computing;2011-05

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