8 resultados para Rate of Convergence
em Bulgarian Digital Mathematics Library at IMI-BAS
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This paper is partially supported by project ISM-4 of Department for Scientific Research, “Paisii Hilendarski” University of Plovdiv.
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In this paper a new method which is a generalization of the Ehrlich-Kjurkchiev method is developed. The method allows to find simultaneously all roots of the algebraic equation in the case when the roots are supposed to be multiple with known multiplicities. The offered generalization does not demand calculation of derivatives of order higher than first simultaneously keeping quaternary rate of convergence which makes this method suitable for application from practical point of view.
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* Research supported by NATO GRANT CRG 900 798 and by Humboldt Award for U.S. Scientists.
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2000 Mathematics Subject Classification: 47H04, 65K10.
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AMS subject classification: 49N35,49N55,65Lxx.
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2000 Mathematics Subject Classification: 60J27, 60K25.
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MSC 2010: 41A25, 41A35
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AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85.