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Semilocal convergence theorem for the inverse-free Jarratt method under new Holder conditions.


ABSTRACT: Under the new Hölder conditions, we consider the convergence analysis of the inverse-free Jarratt method in Banach space which is used to solve the nonlinear operator equation. We establish a new semilocal convergence theorem for the inverse-free Jarratt method and present an error estimate. Finally, three examples are provided to show the application of the theorem.

SUBMITTER: Zhao Y 

PROVIDER: S-EPMC4389983 | biostudies-other | 2015

REPOSITORIES: biostudies-other

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