A general semilocal convergence theorem for simultaneous methods for polynomial zeros and its applications to Ehrlich's and Dochev-Byrnev's methods

DOI10.1016/j.amc.2016.02.055zbMath1410.65141arXiv1511.03821OpenAlexW2240250157MaRDI QIDQ1733448

Petko D. Proinov

Publication date: 21 March 2019

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

Full work available at URL: https://arxiv.org/abs/1511.03821

zbMATH Keywords

error estimatessemilocal convergencepolynomial zerosEhrlich methodsimultaneous methodsDochev-Byrnev method

Mathematics Subject Classification ID

Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Numerical computation of roots of polynomial equations (65H04)

Related Items

Convergence of Newton, Halley and Chebyshev iterative methods as methods for simultaneous determination of multiple polynomial zeros, A unified semilocal convergence analysis of a family of iterative algorithms for computing all zeros of a polynomial simultaneously, Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros, On the convergence of Schröder's method for the simultaneous computation of polynomial zeros of unknown multiplicity, Unified convergence analysis for Picard iteration in \(n\)-dimensional vector spaces, On the local convergence of Gargantini-Farmer-Loizou method for simultaneous approximation of multiple polynomial zeros, On dynamics of iterative techniques for nonlinear equation with applications in engineering

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