On the semilocal convergence of efficient Chebyshev–Secant-type methods

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摘要

We introduce a three-step Chebyshev–Secant-type method (CSTM) with high efficiency index for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for (CSTM) using recurrence relations. Numerical examples validating our theoretical results are also provided in this study.

论文关键词：65J15,65G99,47H99,49M15,Banach space,Chebyshev’s method,The secant method,Newton’s method,Divided difference,Recurrence relations

论文评审过程：Received 14 May 2010, Revised 7 January 2011, Available online 20 January 2011.

论文官网地址：https://doi.org/10.1016/j.cam.2011.01.005