Batra, PrashantPrashantBatra2021-02-222021-02-221998-09-15Journal of Computational and Applied Mathematics 96 (2): 117-125 (1998)http://hdl.handle.net/11420/8888The Durand-Kerner iteration is a well-known simultaneous method for approximation of (simple) zeros of a polynomial. By relating Weierstrass' correction and the minimal distance between approximations practical conditions for convergence have been obtained. These conditions also ensure the existence of isolating discs for the polynomial roots, i.e. each iteration step gives a refined set of inclusion discs. In this paper refined conditions of convergence are given.en0377-0427Journal of computational and applied mathematics19982117125ElsevierConvergence theoremsInclusion methodsInitial conditions for convergencePolynomial rootsSimultaneous methodInformatikMathematikImprovement of a convergence condition for the Durand-Kerner iterationJournal Article10.1016/S0377-0427(98)00109-5Journal Article