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In this paper, a unified framework is proposed for constructing higher-order modifications of Newton's method based on the existing iteration formulas. Some recently developed iterative methods are special cases of our approach. Also, many new iterative methods can be developed by using the proposed unified framework.

A Unified Framework for the Construction of Higher-order Methods for Nonlinear Equations~!2009-10-14~!2010-01-13~!2010-04-14~!