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: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

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. 한국수학교육학회지시리즈B:순수및응용수학, 13(3), 207-215.

복사

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

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논문 상세

Vol.13 No.3

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학