On the Convergence Ball and Error Analysis of the Modified Secant Method

We aim to study the convergence properties of a modification of secant iteration methods. We present a new local convergence theorem for the modified secant method, where the derivative of the nonlinear operator satisfies Lipchitz condition. We introduce the convergence ball and error estimate of th...

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Bibliographic Details
Main Authors: Rongfei Lin, Qingbiao Wu, Minhong Chen, Xuemin Lei
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/2704876