Forward-backward serial iteration methods for simultaneously approximating polynomial zeros

DOI10.1080/00207169008803951zbMath0724.65049OpenAlexW2008022953MaRDI QIDQ3212195

Miodrag S. Petković, Lidija V. Stefanović

Publication date: 1990

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169008803951

zbMATH Keywords

numerical experimentsinterval arithmeticpolynomial zerosimplementationcomplex arithmeticR-order convergenceforward-backward serial iteration methods

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) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Numerical computation of solutions to single equations (65H05)

Cites Work

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• The acceleration of matrix power methods by cyclic variations of the shift parameter
• On the convergence order of a modified method for simultaneous finding polynomial zeros
• Iterative methods for simultaneous inclusion of polynomial zeros
• On Halley-Like Algorithms for Simultaneous Approximation of Polynomial Complex Zeros
• On the Convergence Speed of Some Algorithms for the Simultaneous Approximation of Polynomial Roots

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