East Asian mathematical journal
- Volume 24 Issue 2
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- Pages.151-159
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- 2008
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
A SEMILOCAL CONVERGENCE ANALYSIS FOR A CERTAIN CLASS OF MODIFIED NEWTON PROCESSES
- Argyros, Ioannis K. (CAMERON UNIVERSITY, DEPARTMENT OF MATHEMATICAL SCIENCES)
- Published : 2008.04.30
Abstract
An error analysis introduced in [1], [2] is utilized in combination with nondiscrete mathematical induction to provide a finer than before [3]-[7], [11] semilocal convergence analysis for a certain class of modified Newton processes.
Keywords
- Newton's method;
- Banach space$Fr{\acute{e}}chet$ derivative;
- Nondiscrete Mathematical Induction;
- semilocal convergence