Third-order modification of Newton's method

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摘要

In this paper, we present a new modification of Newton's method for solving non-linear equations. Analysis of convergence shows that the new method is cubically convergent. Numerical examples show that the new method can compete with the classical Newton's method.

论文关键词：41A25,65D99,Newton's method,Third-order convergence,Non-linear equations,Root-finding,Iterative method

论文评审过程：Received 23 January 2006, Revised 27 March 2006, Available online 8 May 2006.

论文官网地址：https://doi.org/10.1016/j.cam.2006.03.022