Title of article
On the semilocal convergence of efficient Chebyshev–Secant-type methods
Author/Authors
Argyros، نويسنده , , I.K. and Ezquerro، نويسنده , , J.A. and Gutiérrez، نويسنده , , J.M. and Hernلndez، نويسنده , , M.A. and Hilout، نويسنده , , S.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
12
From page
3195
To page
3206
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
Chebyshev’s method , Banach space , Newton’s method , Divided difference , Recurrence relations , The Secant method
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2011
Journal title
Journal of Computational and Applied Mathematics
Record number
1556207
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