Analytic and empirical study of the rate of convergence of some iterative methods

We study analytically and empirically the rate of convergence of two \(k\)-step fixed point iterative methods in the family of methods \[ x_{n+1}=T(x_{i_0+n-k+1},x_{i_1+n-k+1},\dots, x_{{i_{k-1}+n-k+1}}),\,n\geq k-1, \] where \(T\colon X^k\rightarrow X\) is a mapping satisfying some Presic type c...

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Bibliographic Details
Main Authors: Vasile Berinde, Abdul Rahim Khan, Mădălina Păcurar
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2015-12-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/1059