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

Yonghui Ling, Xiubin Xu and Shaohua Yu

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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 γ‐condition, the convergence criterion and convergence ball for Newton‐Steffensen’s method are established.

Date: 2013
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https://doi.org/10.1155/2013/682167

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:682167

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