The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 13 Issue 3 Serial No. 33
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- Pages.207-215
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- 2006
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
ON AN IMPROVED UNIFIED CONVERGENCE ANALYSIS FOR A CERTAIN CLASS OF EULER-HALLEY TYPE METHODS
- Argyros Ioannis K. (CAMERON UNIVERSITY, DEPARTMENT OF MATHEMATICAL SCIENCES)
- Published : 2006.08.01
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