Show simple item record

dc.contributor.authorChun, Changbum
dc.contributor.authorNeta, Beny
dc.date.accessioned2017-12-07T17:44:13Z
dc.date.available2017-12-07T17:44:13Z
dc.date.issued2017
dc.identifier.citationC. Chun, B. Neta, "How good are methods with memory for the solution of nonlinear equations?" SeMA, v.74, (2017), pp.613-625.en_US
dc.identifier.urihttp://hdl.handle.net/10945/56412
dc.descriptionThe article of record as published may be found at http://dx.doi.org/10.1007/s40324-016-0105-xen_US
dc.description.abstractMultipoint methods for the solution of a single nonlinear equation allow higher order of convergence without requiring higher derivatives. Such methods have an order barrier as conjectured by Kung and Traub. To overcome this barrier, one constructs multipoint methods with memory, i.e. use previously computed iterates. We compare multipoint methods with memory to the best methods without memory and show that the use of memory is computationally more expensive and the methods are not competitive.en_US
dc.description.sponsorshipNational Research Foundation of Korea (NRF), Ministry of Educationen_US
dc.format.extent13 p.en_US
dc.publisherSociedad Española de Matemática Aplicadaen_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.titleHow good are methods with memory for the solution of nonlinear equations?en_US
dc.typeArticleen_US
dc.contributor.corporateNaval Postgraduate School (U.S.)en_US
dc.contributor.departmentApplied Mathematicsen_US
dc.subject.authorIterative methods with memoryen_US
dc.subject.authorNonlinear equationsen_US
dc.subject.authorSimple rootsen_US
dc.subject.authorOrder of convergenceen_US
dc.subject.authorBasin of attractionen_US
dc.description.funderNRF-2016R1D1A1A09917373en_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record