An elementary proof of Barnett's theorem about the greatest common divisor of several univarlate polynomials-Reference-Cited by-同舟云学术

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An elementary proof of Barnett's theorem about the greatest common divisor of several univarlate polynomials

Published:1996-11 Issue: Volume:247 Page:185-202
ISSN:0024-3795
Container-title:Linear Algebra and its Applications
language:en
Short-container-title:Linear Algebra and its Applications

Author:

González-Vega Laureano

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Geometry and Topology,Numerical Analysis,Algebra and Number Theory

Reference16 articles.

1. Polynomials and Linear Control Systems;Barnett,1983

2. Greatest common divisor of several polynomials;Barnett,1971

3. Degrees of greatest common divisors of invariant factors of two regular polynomial matrices;Barnett,1970

4. Greatest common divisor of two polynomials;Barnett;Linear Algebra Appl.,1970

5. Matrices in Control Theory;Barnett,1971

Cited by 14 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. The computation of the degree of the greatest common divisor of three Bernstein basis polynomials;Journal of Computational and Applied Mathematics;2020-08

2. Structured Matrix Methods Computing the Greatest Common Divisor of Polynomials;Special Matrices;2017-10-26

3. Metric problems for quadrics in multidimensional space;Journal of Symbolic Computation;2015-05

4. On the Relation Between Matrices and the Greatest Common Divisor of Polynomials;Large-Scale Scientific Computing;2015

5. Matrix representation of the shifting operation and numerical properties of the ERES method for computing the greatest common divisor of sets of many polynomials;Journal of Computational and Applied Mathematics;2014-04

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