The convergence ball of Wang's method for finding a zero of a derivative

Authors:
Qingbiao Wu;Hongmin Ren;Weihong Bi
Affiliations:
Department of Mathematics, Zhejiang University, Hangzhou 310027, Zhejiang, PR China;College of Information and Engineering, Hangzhou Radio and TV University, Hangzhou 310012, Zhejiang, PR China;Department of Mathematics, Zhejiang University, Hangzhou 310027, Zhejiang, PR China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2009

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Abstract

Under the hypotheses that the third-order and fourth-order derivatives of function f are bounded, an estimate of the radius of the convergence ball of Wang's method is obtained. The error analysis is also given. Finally, two numerical examples are provided to show applications of our theorem.