An Analysis of a King-based Family of Optimal Eighth-order Methods
| dc.contributor.author | Neta, Beny | |
| dc.contributor.author | Chun, Changbum | |
| dc.date | 2015 | |
| dc.date.accessioned | 2016-10-31T15:32:42Z | |
| dc.date.available | 2016-10-31T15:32:42Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | B. Neta, C. Chun, "An analysis of a King-based family of optimal eighth-order methods," American Journal of Algorithms and Computing, (2015) Vol. 2, No. 1, pp. 1-17 | en_US |
| dc.identifier.uri | https://hdl.handle.net/10945/50428 | |
| dc.description | The article of record as published may be found at http://dx.doi.org/10.7726/ajac.2015.1001 | en_US |
| dc.description.abstract | In this paper we analyze an optimal eighth-order family of methods based on King's fourth order method to solve a nonlinear equation. This family of methods was developed by Thukral and Petković and uses a weight function. We analyze the family using the information on the extraneous fixed points. Two measures of closeness of an extraneous points set to the imaginary axis are considered and applied to the members of the family to find its best performer. The results are compared to a modified version of Wang-Liu method. | en_US |
| dc.description.sponsorship | Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2013R1A1A2005012) | en_US |
| dc.format.extent | 17 p. | en_US |
| dc.publisher | Columbia International Publishing | en_US |
| dc.rights | This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States. | en_US |
| dc.title | An Analysis of a King-based Family of Optimal Eighth-order Methods | en_US |
| dc.type | Article | en_US |
| dc.contributor.corporate | Naval Postgraduate School (U.S.) | en_US |
| dc.contributor.department | Applied Mathematics | en_US |
| dc.subject.author | iterative methods | en_US |
| dc.subject.author | order of convergence | en_US |
| dc.subject.author | basin of attraction | en_US |
| dc.subject.author | extraneous fixed points | en_US |
| dc.subject.author | weight functions | en_US |
| dc.description.funder | Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2013R1A1A2005012) | en_US |
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