A note on the semilocal convergence of Chebyshev's method

Authors

  • M. A. Diloné
  • M. Garca-Olivo
  • J. M. Gutierrezz

Abstract

In this paper we develop a Kantorovich-like theory for Chebyshev's method, a well known iterative method for solving nonlinear equations in Banach spaces. In this note we improve the results obtained previously considering Chebyshev's method as an element of a family of iterative processes. 10.1017/S0004972712000743

Published

2013-07-23

Issue

Vol. 88 No. 1 (2013)

Section

Articles
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