Note on the cubic decreasing region of the Chebyshev method
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摘要
In this paper we reduce the two-dimensional cubic decreasing region considered in Hernandez and Salanova (2000) [1], [2] into one-dimensional region or interval for the Chebyshev method. It means that we find a simple sufficient condition for the semilocal convergence of the method.
论文关键词：47H17,65J15,Nonlinear equations on Banach spaces,Chebyshev method,Region of convergence
论文评审过程：Received 28 October 2009, Revised 21 May 2010, Available online 1 June 2010.
论文官网地址：https://doi.org/10.1016/j.cam.2010.05.034
