On the semilocal convergence of efficient Chebyshev-Secant-type methods期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	IK Argyros

Institution:	^a Cameron University, Department of Mathematics Sciences, Lawton, OK 73505, USA ^b Department of Mathematics and Computation, University of La Rioja, 26004 Logroño, Spain ^c Poitiers University, Laboratoire de Mathématiques et Applications, 86962 Futuroscope Chasseneuil Cedex, France

Abstract:	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.

Keywords:	65J15 65G99 47H99 49M15
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