On developing a higher-order family of double-Newton methods with a bivariate weighting function
dc.contributor.author | Neta, Beny | |
dc.contributor.author | Geum, Young Hee | |
dc.contributor.author | Kim, Young Ik | |
dc.date | 2015 | |
dc.date.accessioned | 2016-10-31T15:41:28Z | |
dc.date.available | 2016-10-31T15:41:28Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | B. Neta, Y.H. Geum, Y.I. Kim , "On developing a higher-order family of double-Newton methods with a bivariate weighting function," Applied Mathematics and Computation, v.254 (2015), 277–290. | en_US |
dc.identifier.uri | http://hdl.handle.net/10945/50430 | |
dc.description | The article of record as published may be found at http://dx.doi.org/10.1016/j.amc.2014.12.130 | en_US |
dc.description.abstract | A high-order family of two-point methods costing two derivatives and two functions are developed by introducing a two-variable weighting function in the second step of the classical double-Newton method. Their theoretical and computational properties are fully investigated along with a main theorem describing the order of convergence and the asymptotic error constant as well as proper choices of special cases. A variety of concrete numerical examples and relevant results are extensively treated to verify the underlying theoretical development. In addition, this paper investigates the dynamics of rational iterative maps associated with the proposed method and an existing method based on illustrated description of basins of attraction for various polynomials. | en_US |
dc.format.extent | 14 p. | en_US |
dc.publisher | Elsevier Inc. | 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 | On developing a higher-order family of double-Newton methods with a bivariate weighting function | 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 | Sixth-order convergence | en_US |
dc.subject.author | Extraneous fixed point | en_US |
dc.subject.author | Asymptotic error constant | en_US |
dc.subject.author | Efficiency index | en_US |
dc.subject.author | Double-Newton method | en_US |
dc.subject.author | Basin of attraction | en_US |