Convergence Behavior for Newton-Steffensen’s Method under -Condition of Second Derivative

Yonghui Ling, Xiubin Xu and Shaohua Yu

Abstract and Applied Analysis, 2013, vol. 2013, 1-11

Abstract:

The present paper is concerned with the semilocal as well as the local convergence problems of Newton-Steffensen’s method to solve nonlinear operator equations in Banach spaces. Under the assumption that the second derivative of the operator satisfies -condition, the convergence criterion and convergence ball for Newton-Steffensen’s method are established.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:682167

DOI: 10.1155/2013/682167

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