Title of article
On some one-point hybrid iterative methods Original Research Article
Author/Authors
J.A. Ezquerro، نويسنده , , M.A. Hernandez-Landaverde، نويسنده , , N. Romero، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
15
From page
587
To page
601
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.
Keywords
Boundary-value problems , Nonlinear equations in Banach spaces , The Newton method , Iterative processes of third order , Semilocal convergence , RR-order of convergence , Region of accessibility
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2010
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862117
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