[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2011.24.2.1

A NOTE ON THE PAPER TITLED SOME VARIANTS OF OSTROWSKI'S METHOD WITH SEVENTH-ORDER CONVERGENCE

Geum, Young Hee (Department of Applied Mathematics, Dankook University)

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.2, 2011 , pp. 141-146 More about this Journal

Abstract

Kou et al. presented a class of new variants of Ostrowski's method in their paper (J. of Comput. Appl. Math., 209(2007), pp.153-159) whose title is "Some variants of Ostrowski's method with seventh-order convergence". They proposed an incorrect error equation, although they showed a correct seventh-order of convergence. The main objective of this note is to establish the correct error equation of the method and confirm its validity via concrete numerical examples.

Keywords

Ostrowski's method; Iterative method; asymptotic error constant;

Citations & Related Records

Reference

1	J. Kou, Y. Li and X. Wang, Some variants of Ostrowski's method with seventh- order convergence, Journal of Computational and Applied Mathematics 209 (2007), 153-159. DOI ScienceOn
2	J. F. Traub, Iterative Methods for the Solution of Equations, Chelsea Publishing Company, 1982.
3	S. Wolfram, The Mathematica Book, 4th ed., Cambridge University Press, 1999.