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Sparse Rational Univariate Representation

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 23 Jul 2017 France Publisher:ACMJournal:Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation
Authors: Mantzaflaris, Angelos; Schost, Éric; Tsigaridas, Elias;

doi: 10.1145/3087604.3087653

Sparse Rational Univariate Representation

Abstract

We present explicit worst case degree and height bounds for the rational univariate representation of the isolated roots of polynomial systems based on mixed volume. We base our estimations on height bounds of resultants and we consider the case of 0-dimensional, positive dimensional, and parametric polynomial systems.

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France
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Keywords

CCS Concepts, [INFO.INFO-SC] Computer Science [cs]/Symbolic Computation [cs.SC], •Computing methodologies → Symbolic calculus algorithms, separation bound, Keywords, polynomial system, rational univariate representation, sparse resultant, DMM

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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!
3
Average
Average
Average
Green
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