Balanced convergence of iterative methods to a multiple zero of a complex polynomial

DOI10.1016/0377-0427(92)90130-PzbMath0752.65038OpenAlexW2003939304MaRDI QIDQ1186910

Tsuyako Miyakoda

Publication date: 28 June 1992

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90130-p

zbMATH Keywords

iterative methodsbalanced convergenceDurand-Kerner methodsmultiple zeros of complex polynomials

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05)

Related Items

Stable spiral orbits of SOR Durand-Kerner's method applied to the equation \(x^ d=0\), Global convergence of the Durand-Kerner method applied to the equation \(z^ 3 = 0\), On some methods for the simultaneous determination of polynomial zeros, Multiplicity estimating algorithm for zeros of a complex polynomial and its applications

Cites Work

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• Iterative methods for multiple zeros of a polynomial by clustering
• Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen
• Iteration Methods for Finding all Zeros of a Polynomial Simultaneously