Comparing the basins of attraction for Kanwar–Bhatia–Kansal family to the best fourth order method

Changbum Chun and Beny Neta

Applied Mathematics and Computation, 2015, vol. 266, issue C, 277-292

Abstract: There are relatively few optimal fourth order methods for solving nonlinear algebraic equations having roots of known multiplicity m. In a previous paper we have compared 5 such methods, two of which require the evaluation of the (m−1)st root. We have used the basin of attraction idea to recommend the best optimal fourth order method. Here we compare the family of methods developed by Kanwar et al. (2013)– to the best known method. We will also point out some mistake in deriving that family.

Keywords: Iterative methods; Order of convergence; Multiple roots; Basin of attraction (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315006931
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:266:y:2015:i:c:p:277-292

DOI: 10.1016/j.amc.2015.05.069

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 ().