On the convergence of Halley's method for simultaneous computation of polynomial zeros

DOI10.1515/JNMA-2015-0026zbMath1328.65110OpenAlexW2407441603MaRDI QIDQ898923

Stoil I. Ivanov, Petko D. Proinov

Publication date: 21 December 2015

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnma-2015-0026

zbMATH Keywords

error estimatesHalley's methodsemilocal convergencelocal convergencepolynomial zerossimultaneous methods

Mathematics Subject Classification ID

Numerical computation of roots of polynomial equations (65H04)

Related Items (10)

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 ⋮ A new family of Sakurai-Torii-Sugiura type iterative methods with high order of convergence ⋮ Convergence analysis of Sakurai-Torii-Sugiura iterative method for simultaneous approximation of polynomial zeros ⋮ Relationships between different types of initial conditions for simultaneous root finding methods ⋮ 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 convergence of Gander's type family of iterative methods for simultaneous approximation of polynomial zeros ⋮ On dynamics of iterative techniques for nonlinear equation with applications in engineering ⋮ A convergence analysis of a fourth-order method for computing all zeros of a polynomial simultaneously

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