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

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Published: May 15, 2011
DOI: https://doi.org/10.14403/jcms.2011.24.2.141
Keywords:
Ostrowski's method, Iterative method, asymptotic error constant
Mathematics Subject Classification (2020):
Primary 65H05, 65H99

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Young Hee Geum
Department of Applied Mathematics, Dankook University

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.





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Article Details

Issue
Vol. 24 No. 2 (2011)
Section
Articles