Chebyshev–Halley methods for analytic functions

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摘要

Two modifications of the family of Chebyshev–Halley methods are given. The first is to improve the rate of convergence to a multiple zero of an analytic function. The second is to find simultaneously all distinct zeros of a polynomial.

论文关键词：Chebyshev–Halley method,Multiple zero,Chebyshev–Halley-like method,Zero finding,Simultaneous,Analytic function,Decreasing ratio

论文评审过程：Received 22 January 2007, Revised 3 May 2007, Available online 27 June 2007.

论文官网地址：https://doi.org/10.1016/j.cam.2007.06.020