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
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
Journal title :
Journal of Computational and Applied Mathematics
