Note on the cubic decreasing region of the Chebyshev method

[摘要] In this paper we reduce the two-dimensional cubic decreasing region considered in Hernandez and Salanova (2000) [1], [2] into one-dimensional region or interval for the Chebyshev method. It means that we find a simple sufficient condition for the semilocal convergence of the method. (c) 2010 Elsevier B.V. All rights reserved.

[发布日期] 2010-11-01

[关键词] Nonlinear equations on Banach spaces;Chebyshev method;Region of convergence