A new semilocal convergence theorem for the Weierstrass method for finding zeros of a polynomial simultaneously

DOI10.1016/j.jco.2013.11.002zbMath1312.65075OpenAlexW2076169133MaRDI QIDQ2442867

Milena D. Petkova, Petko D. Proinov

Publication date: 1 April 2014

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2013.11.002

zbMATH Keywords

error estimatessemilocal convergencepolynomial zerosWeierstrass methodsimultaneous methodsnormed fields

Mathematics Subject Classification ID

Numerical computation of roots of polynomial equations (65H04)

Related Items (6)

Semilocal convergence of Chebyshev-like root-finding method for simultaneous approximation of polynomial zeros ⋮ Local and semilocal convergence of a family of multi-point Weierstrass-type root-finding methods ⋮ A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich's and Dochev-Byrnev's methods ⋮ Unified convergence analysis for Picard iteration in \(n\)-dimensional vector spaces ⋮ General convergence theorems for iterative processes and applications to the Weierstrass root-finding method ⋮ A convergence analysis of a fourth-order method for computing all zeros of a polynomial simultaneously

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