On a family of iterative methods for simultaneous extraction of all roots of algebraic polynomial

DOI10.1016/J.AMC.2003.12.103zbMath1072.65071OpenAlexW2040940903MaRDI QIDQ1763292

Gyurhan H. Nedzhibov, Milko G. Petkov

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.103

zbMATH Keywords

convergencenumerical examplesNewton methodsecant methodmulti-point iterative methodsTraub and Traub-Ostrowski methodszero of polynomial

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)

Related Items (6)

ON HIGHLY EFFICIENT SIMULTANEOUS SCHEMES FOR FINDING ALL POLYNOMIAL ROOTS ⋮ On some families of multi-point iterative methods for solving nonlinear equations ⋮ A derivative-free iterative method for simultaneously computing an arbitrary number of zeros of nonlinear equations ⋮ On the guaranteed convergence of a cubically convergent Weierstrass-like root-finding method ⋮ Iterative methods for simultaneous computing arbitrary number of multiple zeros of nonlinear equations ⋮ A convergence analysis of a fourth-order method for computing all zeros of a polynomial simultaneously

Cites Work

• On some families of multi-point iterative methods for solving nonlinear equations
• Numerical Analysis and Its Applications
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