Approximate greatest common divisor of several polynomials from Hankel matrices-Reference-Cited by-同舟云学术

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Approximate greatest common divisor of several polynomials from Hankel matrices

Published:2021-09 Issue:3 Volume:55 Page:77-81
ISSN:1932-2240
Container-title:ACM Communications in Computer Algebra
language:en
Short-container-title:ACM Commun. Comput. Algebra

Author:

Belhaj Skander¹,Alsulami Abdulrahman¹

Affiliation:

1. University of Jeddah, Saudi Arabia

Abstract

This paper is devoted to present a new method for computing the approximate Greatest Common Divisor (GCD) of several polynomials (not pairwise) from the generalized Hankel matrix. Our approach based on the calculation of cofactors is tested for several sets of polynomials.

Publisher

Association for Computing Machinery (ACM)

Subject

Microbiology (medical),Immunology,Immunology and Allergy

Link

https://dl.acm.org/doi/pdf/10.1145/3511528.3511532

Reference14 articles.

1. Fast Parallel Computation of the Polynomial Remainder Sequence via Bézout and Hankel Matrices

2. Matrix representation of the shifting operation and numerical properties of the {ERES} method for computing the greatest common divisor of sets of many polynomials;Christou D.;Journal of Computational and Applied Mathematics,2014

3. The singular value decomposition for polynomial systems

4. <tex>$QR$</tex>Factoring to Compute the GCD of Univariate Approximate Polynomials

5. Barnett’s Theorems About the Greatest Common Divisor of Several Univariate Polynomials Through Bezout-like Matrices

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