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411 REFERENCE · Wiktionary

Durand-Kerner method

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English Etymology After Emile Durand,Durand, E. (1960). "Equations du type F(x) = 0: Racines d'un polynome". in Masson et al. Solutions numeriques des equations algebriques, vol. 1. a French mathematician, and Immo Kerner,Kerner, Immo O. (1966). "Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen". Numerische Mathematik 8: 290–294. doi:10.1007/BF02162564 a German mathematician. Proper noun en mathematics An algorithm for finding the roots of polynomial equations. en 1975 http://books.google.com/books?id=56YGAQAAIAAJ International journal of computer mathematics 5-6 The improved Durand-Kerner Method Referring to the improved Durand-Kerner and the improved Ehrlich we find that the approximations converging towards the origin will move directly towards this zero on each iteration cycle always reducing their distance away by the fraction 2/(m+1) in the first method and 3/(m+2) in the second Synonyms en method of Weierstrass Translations algorithm References Further reading en eponyms en Mathematics