On the \(R\)-order of some accelerated methods for the simultaneous finding of polynomial zeros

DOI10.1007/BF02248695zbMath0781.65042OpenAlexW185361392MaRDI QIDQ1207050

Zvezdan M. Marjanović, Lidija V. Stefanović, Miodrag S. Petković

Publication date: 4 May 1993

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02248695

zbMATH Keywords

iterative methodscomputational efficiency\(R\)-order of convergenceNumerical examplesroots of a polynomialsingle step methodsmultiple complex zeros

Mathematics Subject Classification ID

Related Items (2)

Family of simultaneous methods of Hansen--Patrick's type ⋮ Chebyshev-Halley methods for analytic functions

Cites Work

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• An improvement on two iteration methods for simultaneous determination of the zeros of a polynomial
• Some higher-order methods for the simultaneous approximation of multiple polynomial zeros
• Iteration Methods for Finding all Zeros of a Polynomial Simultaneously
• On the Convergence Speed of Some Algorithms for the Simultaneous Approximation of Polynomial Roots
• A modified Newton method for polynomials

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