Semilocal Convergence for a Fifth-Order Newton's Method Using Recurrence Relations in Banach Spaces
نویسندگان
چکیده
We study a modified Newton’s method with fifth-order convergence for nonlinear equations in Banach spaces. Wemake an attempt to establish the semilocal convergence of this method by using recurrence relations. The recurrence relations for the method are derived, and then an existenceuniqueness theorem is given to establish the R-order of the method to be five and a priori error bounds. Finally, a numerical application is presented to demonstrate our approach.
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عنوان ژورنال:
- J. Applied Mathematics
دوره 2011 شماره
صفحات -
تاریخ انتشار 2011