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dc.contributor.authorNeta, Beny
dc.contributor.authorJohnson, Anthony N.
dc.date2008
dc.date.accessioned2014-03-12T22:47:51Z
dc.date.available2014-03-12T22:47:51Z
dc.date.issued2008
dc.identifier.citationB. Neta, A.N. Johnson, High-order nonlinear solver for multiple roots, Computers and Mathematics with Applications (2007), doi:10.1016/j.camwa.2007.09.001
dc.identifier.urihttp://hdl.handle.net/10945/39440
dc.descriptionComputers and Mathematics with Applications, 55, (2008), 2012–2017.en_US
dc.description.abstractA method of order four for finding multiple zeros of nonlinear functions is developed. The method is based on Jarratt’s 4 fifth-order method (for simple roots) and it requires one evaluation of the function and three evaluations of the derivative. The 5 informational efficiency of the method is the same as previously developed schemes of lower order. For the special case of double 6 root, we found a family of fourth-order methods requiring one less derivative. Thus this family is more efficient than all others. All 7 these methods require the knowledge of the multiplicity.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.titleHigh order nonlinear solver for multiple roots (uncorrected proof)en_US
dc.description.versionThe article of record as published may be located at http://dx.doi.org/10.1016/j.camwa.2007.09.001en_US
dc.contributor.departmentApplied Mathematicsen_US
dc.subject.authorNonlinear equationsen_US
dc.subject.authorHigh orderen_US
dc.subject.authorMultiple rootsen_US
dc.subject.authorFixed pointen_US


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