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

Xiaofeng Wang and Qiannan Fan
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Xiaofeng Wang: School of Mathematics and Physics, Bohai University, Jinzhou 121000, China
Qiannan Fan: School of Mathematics and Physics, Bohai University, Jinzhou 121000, China

Mathematics, 2020, vol. 8, issue 4, 1-12

Abstract: 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.

Keywords: self-accelerating type method; iterative method; variable parameter; root-finding (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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