Extension of Murakami’s High order nonlinear solver to multiple roots

dc.contributor.author	Neta, Beny
dc.date	2010-04
dc.date.accessioned	2014-03-12T22:47:52Z
dc.date.available	2014-03-12T22:47:52Z
dc.date.issued	2010-04
dc.identifier.uri	https://hdl.handle.net/10945/39444
dc.description	International Journal of Computer Mathematics, 8, (2010), 1023-1031, DOI: 10.1080/0020716080227226	en_US
dc.description	The article of record as published may be located at http://dx.doi.org/10.1080/0020716080227226	en_US
dc.description.abstract	Several one-parameter families of fourth-order methods for finding multiple zeros of non-linear functions are developed. The methods are based on Murakami's fifth-order method (for simple roots) and they require one evaluation of the function and three evaluations of the derivative. The informational efficiency of the methods is the same as the previously developed methods oflov.1er order. For a double root, the method is more efficient than all previously known schemes. All these methods require the knowledge ofmultiplicity.	en_US
dc.rights	This 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.title	Extension of Murakami’s High order nonlinear solver to multiple roots	en_US
dc.contributor.department	Applied Mathematics	en_US
dc.subject.author	multiple roots	en_US
dc.subject.author	non-linear	en_US
dc.subject.author	high-order	en_US
dc.subject.author	efficiency	en_US

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