Necessary conditions for the convergence of subdivision schemes with finite masks

Li Cheng and Xinlong Zhou

Applied Mathematics and Computation, 2017, vol. 303, issue C, 34-41

Abstract: Knowing that the convergence of the subdivision scheme with a nonnegative mask relies on the location of its support of the mask, we consider the positions of the points in the support and the convex cover of the support. We demonstrate the different properties between the inner and boundary points of the support for the mask, when the corresponding subdivision scheme converges. Furthermore, we find out that the so-called connectivity of a matrix A deduced by a given mask is some simple condition to guarantee those properties for nonnegative masks.

Keywords: Convergence; Directed graph; Nonnegative mask; Subdivision scheme (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300317300206
Full text for ScienceDirect subscribers only

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:eee:apmaco:v:303:y:2017:i:c:p:34-41

DOI: 10.1016/j.amc.2017.01.012

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().