Some variants of Cauchy’s method with accelerated fourth-order convergence
نویسنده
چکیده
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. © 2007 Published by Elsevier B.V. MSC: 41A25; 65D99
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