scientific article

zbMath1002.65057MaRDI QIDQ2765622

Miodrag S. Petković, Dragan Živković, Ljiljana D. Petković

Publication date: 5 August 2002

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

numerical resultsconvergence accelerationiterative methodscomputational efficiencyGauss-Seidel methodpolynomial zeros\(R\)-order of convergenceLaguerre's method

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10) Complexity and performance of numerical algorithms (65Y20)

Related Items (8)

Laguerre-like inclusion method for polynomial zeros ⋮ Family of simultaneous methods of Hansen--Patrick's type ⋮ The guaranteed convergence of Laguerre-like method ⋮ The root and Bell's disk iteration methods are of the same error propagation characteristics in the simultaneous determination of the zeros of a polynomial. II: Round-off error analysis by use of interval arithmetic ⋮ A family of root-finding methods with accelerated convergence ⋮ A new fourth-order family of simultaneous methods for finding polynomial zeros ⋮ The root and Bell's disk iteration methods are of the same error propagation characteristics in the simultaneous determination of the zeros of a polynomial. I: Correction methods ⋮ An effective implementation of a modified Laguerre method for the roots of a polynomial

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