On some one-point hybrid iterative methods |
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Authors: | J.A. Ezquerro,M.A. Herná ndez |
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Affiliation: | Department of Mathematics and Computation, University of La Rioja, C/ Luis de Ulloa s/n, 26004 Logroño, Spain |
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Abstract: | When we choose an iterative process for solving a nonlinear equation, the region of accessibility of the iterative process is certainly useful. We know that the higher the order of convergence of the iterative process, the smaller the region of accessibility. In this paper, we present a simple modification of the classic third-order iterative processes, so as to consider, for each of them, the same region of accessibility as that of the Newton method, that is to say a method of order of convergence two. |
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Keywords: | 47H99 65J15 34B15 |
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