An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition

Feng-Gong Lang and Xiao-Ping Xu

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-12

Abstract:

A piecewise algebraic curve is a curve defined by the zero set of a bivariate spline function. Given two bivariate spline spaces (Δ) over a domain D with a partition Δ, the Bezout number BN( m,r;n,t ;Δ) is defined as the maximum finite number of the common intersection points of two arbitrary piecewise algebraic curves (Δ). In this paper, an upper bound of the Bezout number for piecewise algebraic curves over a rectangular partition is obtained.

Date: 2012
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/2012/473582.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/2012/473582.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:473582

DOI: 10.1155/2012/473582

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().