Volume 18, Issue 5
On the Convergence of King-Werner Iteration Method in Banach Space

J. Comp. Math., 18 (2000), pp. 457-466.

Published online: 2000-10

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• Abstract

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.

• Keywords

Information at the center between initial points, King-Werner iteration method, Convergence, Error estimate.

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@Article{JCM-18-457, author = {Huang , Zheng-Da}, title = {On the Convergence of King-Werner Iteration Method in Banach Space}, journal = {Journal of Computational Mathematics}, year = {2000}, volume = {18}, number = {5}, pages = {457--466}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9058.html} }
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.

Zheng-Da Huang. (1970). On the Convergence of King-Werner Iteration Method in Banach Space. Journal of Computational Mathematics. 18 (5). 457-466. doi:
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