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dc.contributor.authorChun, Changbum
dc.contributor.authorNeta, Beny
dc.date.accessioned2017-06-30T19:44:41Z
dc.date.available2017-06-30T19:44:41Z
dc.date.issued2017
dc.identifier.citationC. Chun, B. Neta, "Comparative study of eighth-0rder methods for finding simple roots of nonlinear equations," Numerical Algorithms, v.74, (2017), pp. 1169-1201.en_US
dc.identifier.urihttp://hdl.handle.net/10945/55169
dc.description.abstractRecently, there were many papers discussing the basins of attraction of various methods and ideas how to choose the parameters appearing in families of methods and weight functions used. Here, we collected many of the eighth-order schemes scattered in the literature and presented a quantitative comparison. We have used the average number of function evaluations per point, the CPU time, and the number of black points to compare the methods. Based on seven examples, we found that the best method based on the three criteria is SA8 due to Sharma and Arora.en_US
dc.description.sponsorshipNational Research Foundation of Korea (NRF) funded by the Ministry of Educationen_US
dc.format.extent33 p.en_US
dc.publisherSpringeren_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.titleComparative study of eighth-order methods for finding simple roots of nonlinear equationsen_US
dc.typeArticleen_US
dc.contributor.corporateNaval Postgraduate School (U.S.)en_US
dc.contributor.departmentApplied Mathematicsen_US
dc.subject.authorIterative methodsen_US
dc.subject.authorNonlinear equationen_US
dc.subject.authorSimple rootsen_US
dc.subject.authorOrder of convergenceen_US
dc.subject.authorExtraneous fixed pointsen_US
dc.subject.authorBasin of attractionen_US
dc.description.funderNRF-2013R1A1A2005012en_US


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