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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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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

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2006, v.13 no.3, pp.207-215
Argyros Ioannis K. (CAMERON UNIVERSITY, DEPARTMENT OF MATHEMATICAL SCIENCES)
Argyros Ioannis K.. (2006). ON AN IMPROVED UNIFIED CONVERGENCE ANALYSIS FOR A CERTAIN CLASS OF EULER-HALLEY TYPE METHODS, 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

한국수학교육학회지시리즈B:순수및응용수학

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