A class of optimal iterative methods of inverting a linear bounded operator |
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Authors: | J. Herzberger |
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Affiliation: | Universitat Oldenburg Fachbereich Mathematik , D-2900 Oldenburg, West Germany |
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Abstract: | A family of higher-order iterative methods for inverting a linear bounded operator in a Banach space is presented. This family depending on two integer parameters can be considered as hyperpower methods of [1]. A convergence Theorem is proved and an optimal class with respect to the efficiency index is determined . Several error bounds are derived and compared with those in the literature. |
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Keywords: | interpolating scaling functions spline functions wavelets expanding scaling matrices |
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