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Open AccessArticle

A Modified Ren’s Method with Memory Using a Simple Self-Accelerating Parameter

School of Mathematics and Physics, Bohai University, Jinzhou 121000, China
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Mathematics 2020, 8(4), 540; https://doi.org/10.3390/math8040540
Received: 8 March 2020 / Revised: 23 March 2020 / Accepted: 1 April 2020 / Published: 7 April 2020
In this paper, a self-accelerating type method is proposed for solving nonlinear equations, which is a modified Ren’s method. A simple way is applied to construct a variable self-accelerating parameter of the new method, which does not increase any computational costs. The highest convergence order of new method is 2 + 6 4.4495 . Numerical experiments are made to show the performance of the new method, which supports the theoretical results. View Full-Text
Keywords: self-accelerating type method; iterative method; variable parameter; root-finding self-accelerating type method; iterative method; variable parameter; root-finding
MDPI and ACS Style

Wang, X.; Fan, Q. A Modified Ren’s Method with Memory Using a Simple Self-Accelerating Parameter. Mathematics 2020, 8, 540.

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