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dc.contributor.authorNeta, Beny
dc.contributor.authorGeum, Young Hee
dc.contributor.authorKim, Young Ik
dc.date2015
dc.date.accessioned2016-10-31T15:41:28Z
dc.date.available2016-10-31T15:41:28Z
dc.date.issued2015
dc.identifier.citationB. 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.urihttp://hdl.handle.net/10945/50430
dc.descriptionThe article of record as published may be found at http://dx.doi.org/10.1016/j.amc.2014.12.130en_US
dc.description.abstractA 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.extent14 p.en_US
dc.publisherElsevier Inc.en_US
dc.rightsThis 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.titleOn developing a higher-order family of double-Newton methods with a bivariate weighting functionen_US
dc.typeArticleen_US
dc.contributor.corporateNaval Postgraduate School (U.S.)en_US
dc.contributor.departmentApplied Mathematicsen_US
dc.subject.authorSixth-order convergenceen_US
dc.subject.authorExtraneous fixed pointen_US
dc.subject.authorAsymptotic error constanten_US
dc.subject.authorEfficiency indexen_US
dc.subject.authorDouble-Newton methoden_US
dc.subject.authorBasin of attractionen_US


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