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 Lipschitz condition, the convergence criterion and convergence ball for Newton-Steffensen’s method are established.
Citation
Shaohua Yu. Xiubin Xu. Jianqiu Li. Yonghui Ling. "CONVERGENCE BEHAVIOR FOR NEWTON-STEFFENSEN'S METHOD UNDER LIPSCHITZ CONDITION OF SECOND DERIVATIVE." Taiwanese J. Math. 15 (6) 2577 - 2600, 2011. https://doi.org/10.11650/twjm/1500406486
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