A third-order modification of Newton’s method for multiple roots

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摘要

In this paper, we present a new third-order modification of Newton’s method for multiple roots, which is based on existing third-order multiple root-finding methods. Numerical examples show that the new method is competitive to other methods for multiple roots.

论文关键词：Newton’s method,Multiple roots,Iterative methods,Nonlinear equations,Order of convergence,Root-finding

论文评审过程：Available online 9 February 2009.

论文官网地址：https://doi.org/10.1016/j.amc.2009.01.087