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dc.contributor.authorNeta, Beny
dc.contributor.authorPetkovic, M.S.
dc.date2010
dc.date.accessioned2014-03-12T22:47:50Z
dc.date.available2014-03-12T22:47:50Z
dc.date.issued2010
dc.identifier.urihttp://hdl.handle.net/10945/39433
dc.descriptionApplied Mathematics and Computation, 217, (2010), 2448-2455.en_US
dc.descriptionThe article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2010.07.045en_US
dc.description.abstractThere is a vast literature on finding simple roots of nonlinear equations by iterative meth- ods. These methods can be classified by order, by the information used or by efficiency. There are very few optimal methods, that is methods of order 2m requiring m + 1 function evaluations per iteration. Here we give a general way to construct such methods by using inverse interpolation and any optimal two-point method. The presented optimal multi- point methods are tested on numerical examples and compared to existing methods of the same order of convergence.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.titleConstruction of optimal order nonlinear solvers using inverse interpolationen_US
dc.contributor.departmentApplied Mathematicsen_US
dc.subject.authorMultipoint iterative methodsen_US
dc.subject.authorNonlinear equationsen_US
dc.subject.authorOptimal order of convergenceen_US
dc.subject.authorInverse interpolationen_US


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