A Modified Ren’s Method with Memory Using a Simple Self-Accelerating Parameter
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/8/4/540 |
| Summary: | 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 <inline-formula> <math display="inline"> <semantics> <mrow> <mn>2</mn> <mo>+</mo> <msqrt> <mn>6</mn> </msqrt> <mo>≈</mo> <mrow> <mn>4.4495</mn> </mrow> </mrow> </semantics> </math> </inline-formula>. Numerical experiments are made to show the performance of the new method, which supports the theoretical results. |
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| ISSN: | 2227-7390 |