TY - JOUR T1 - On the Convergence of King-Werner Iteration Method in Banach Space AU - Huang , Zheng-Da JO - Journal of Computational Mathematics VL - 5 SP - 457 EP - 466 PY - 2000 DA - 2000/10 SN - 18 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9058.html KW - Information at the center between initial points, King-Werner iteration method, Convergence, Error estimate. AB -
In this paper, a Kantorovitch-Ostrowski type convergence theorem and an error estimate of $\frac{\|f'(z_0)^{-1}f(x_{n+1})\|}{\|f'(z_0)^{-1}f(x_n)\|}$ using the information of higher derivatives at the center between initial points for King-Werner iteration method in Banach space are established.