Abstract
In this paper, we introduce a modified Chebyshev-like's method with order four and study the semilocal convergence of the method by using majorizing functions for solving nonlinear equations in Banach spaces. We prove an existence-uniqueness theorem and give a priori error bounds which demonstrates the R-order of the method. Moveover, the local convergence of this method is also analyzed. Finally, numerical application on nonlinear integral equations is given to show our approach.
Citation
Lin Zheng. Ke Zhang. Liang Chen. "ON THE CONVERGENCE OF A MODIFIED CHEBYSHEV-LIKE'S METHOD FOR SOLVING NONLINEAR EQUATIONS." Taiwanese J. Math. 19 (1) 193 - 209, 2015. https://doi.org/10.11650/tjm.19.2015.3856
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