Some variants of Cauchy's method with accelerated fourth-order convergence |
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Authors: | Jisheng Kou |
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Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, China |
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Abstract: | In this paper, we present some variants of Cauchy's method for solving non-linear equations. Analysis of convergence shows that the methods have fourth-order convergence. Per iteration the new methods cost almost the same as Cauchy's method. Numerical results show that the methods can compete with Cauchy's method. |
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Keywords: | 41A25 65D99 |
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