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Subresultants in multiple roots

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Mar 2013Embargo end date: 01 Dec 2010 Argentina English Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 438, pages 1,969-1,989 (issn: 0024-3795, Copyright policy )Funded by:NSF | CAREER: Solving Over-Cons..., NSF | AF: Small: Relaxation Tec...
Authors: D'andrea, Carlos; Krick, Teresa Elena Genoveva; Szanto, Agnes;

doi: 10.1016/j.laa.2012.11.004 , 10.48550/arxiv.1012.4615

arXiv: 1012.4615

handle: 11336/14861

Subresultants in multiple roots

Abstract

We extend our previous work on Poisson-like formulas for subresultants in roots to the case of polynomials with multiple roots in both the univariate and multivariate case, and also explore some closed formulas in roots for univariate polynomials in this multiple roots setting.

21 pages, latex file. Revised version accepted for publication in Linear Algebra and its Applications

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Argentina
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Keywords

root multiplicity, Numerical Analysis, Algebra and Number Theory, Subresultants, subresultants, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Gemeralized Vandermonde Determinants, Solving polynomial systems; resultants, Sylvester sums, FOS: Mathematics, 13P15 (Primary) 15A15, 68W30 (Secondary), https://purl.org/becyt/ford/1.1, Discrete Mathematics and Combinatorics, Geometry and Topology, Hermite interpolation, https://purl.org/becyt/ford/1

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Average
Average
Green
hybrid