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dc.contributor.authorNeta, Beny
dc.contributor.authorScott, Melvin
dc.contributor.authorChun, Changbum
dc.date2012
dc.date.accessioned2014-03-12T22:47:54Z
dc.date.available2014-03-12T22:47:54Z
dc.date.issued2012
dc.identifier.citationB. Neta, C. Chun, "Basins of attraction for several methods to find simple roots of nonlinear equations," Applied Mathematics and Computation,v. 218 (2012), pp. 10548–10556.
dc.identifier.urihttp://hdl.handle.net/10945/39452
dc.descriptionen_US
dc.descriptionThe article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2010.04.017en_US
dc.description.abstractThere are many methods for solving a nonlinear algebraic equation. The methods are clas- sified by the order, informational efficiency and efficiency index. Here we consider other criteria, namely the basin of attraction of the method and its dependence on the order. We discuss several third and fourth order methods to find simple zeros. The relationship between the basins of attraction and the corresponding conjugacy maps will be discussed in numerical experiments. The effect of the extraneous roots on the basins is also discussed.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.titleBasins of attraction for several methods to find simple roots of nonlinear equationsen_US
dc.contributor.departmentApplied Mathematicsen_US
dc.subject.authorBasin of attractionen_US
dc.subject.authorSimple rootsen_US
dc.subject.authorNonlinear equationsen_US
dc.subject.authorModified super Halley methoden_US
dc.subject.authorKing’s family of methodsen_US
dc.subject.authorHalley methoden_US
dc.subject.authorSuper Halley methoden_US


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