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An efficient family of weighted-Newton methods with optimal eighth order convergence

✍ Scribed by Sharma, Janak Raj; Arora, Himani


Book ID
121392501
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
366 KB
Volume
29
Category
Article
ISSN
0893-9659

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In this paper, we derive a new family of eighth-order methods for obtaining simple roots of nonlinear equations by using the weight function method. Each iteration of these methods requires three evaluations of the function and one evaluation of its first derivative, so that their efficiency indices