Convergence of the two-point Weierstrass root-finding method

DOI10.1007/s13160-014-0138-4zbMath1297.65052OpenAlexW2111247991MaRDI QIDQ403839

Milena D. Petkova, Petko D. Proinov

Publication date: 29 August 2014

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

Full work available at URL: https://doi.org/10.1007/s13160-014-0138-4

zbMATH Keywords

error estimatessemilocal convergencelocal convergencepolynomial zerossimultaneous methodstwo--point Weierstrass method

Mathematics Subject Classification ID

Real polynomials: location of zeros (26C10) Polynomials, factorization in commutative rings (13P05) 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, Local and semilocal convergence of a family of multi-point Weierstrass-type root-finding methods, 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, Inverse numerical iterative technique for finding all roots of nonlinear equations with engineering applications, On the convergence of Gander's type family of iterative methods for simultaneous approximation of polynomial zeros, A convergence analysis of a fourth-order method for computing all zeros of a polynomial simultaneously

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