Author： ARGYROS I.
Publisher： Taylor & Francis Ltd
ISSN： 0020-7160
Source： International Journal of Computer Mathematics, Vol.80, Iss.6, 2003-06, pp. : 767-780
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Abstract
The principle of majorizing sequences is used to show local and semilocal convergence of Newton's method to a locally unique solution of an operator equation in a Banach space setting, when the operator involved satisfies a Hölder and center Hölder continuity condition. Our convergence conditions are weaker; error bounds on the distances involved finer and the location of the solution more precise than in earlier results.
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