The Bézout number of piecewise algebraic curves
type: Item
instance of: scholarly article
title: The Bézout number of piecewise algebraic curves
zbMATH Open document ID: 1274.14042
author: Dianxuan Gong
author: Ren-Hong Wang
publication date: 2013-03-12T00:00:00Z
review text: The authors provide a lower upbound of Bézout number of two piecewise algebraic curves on any given non-obtuse-angled triangulation. This result is obtained from the discussion of the number of roots of univariate spline and the common zero points of two piecewise algebraic curves. In addition, Bézout number of two piecewise algebraic curves on two different partitions is also discussed.
reviewed by: Sonia Pérez Díaz
Mathematics Subject Classification ID: 14J10
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 70G55
zbMATH DE Number: 6143612
zbMATH Keywords: Bezout number
zbMATH Keywords: piecewise algebraic curve
zbMATH Keywords: periodic spline
zbMATH Keywords: univariate spline
MaRDI profile type: Publication
full work available at URL: s10114-012-9679-0
OpenAlex ID: W2603499936
cites work: Q4209232
cites work: Multivariate spline and algebraic geometry
cites work: Q4703998
cites work: The Bézout number for piecewise algebraic curves
cites work: Q4130491
DOI: 10.1007/S10114-012-9679-0
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 6143612