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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.13 No.3

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On an Improved Unified Convergence Analysis for a Certain Class of Euler-Halley Type Methods

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2006, v.13 no.3, pp.207-215
Argyros Ioannis K.
Argyros, I. K. (2006). On an Improved Unified Convergence Analysis for a Certain Class of Euler-Halley Type Methods. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 13(3), 207-215.

Abstract

Using more precise majorizing sequences than before [6], [10], [11], [14] we provide a finer semilocal convergence analysis for a certain class of Euler-Halley type methods for approximating a solution of an equation in a Banach space setting.

keywords
Banach space, Euler-Halley iterative methods, majorizing sequence, Lipschitz condition, average Lipschitz function

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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