Convergence of the variants of the Chebyshev-Halley iteration family under the Holder condition of the first derivative

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:203

Article

Ye, Xintao ; Li, Chong ; Shen, Weiping

关键词: nonlinear operator equation;    Chebyshev-Halley iteration family;    Holder condition;   

DOI  :  10.1016/j.cam.2006.04.003

来源: Elsevier

【 摘 要 】

The present paper is concerned with the convergence problem of the variants of the Chebyshev-Halley iteration family with parameters for solving nonlinear operator equations in Banach spaces. Under the assumption that the first derivative of the operator satisfies the Holder condition of order p, a convergence criterion of order 1 + p for the iteration family is established. An application to a nonlinear Hammerstein integral equation of the second kind is provided. (c) 2006 Published by Elsevier B.V.

【 授权许可】

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