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Reliable Computing

, Volume 10, Issue 6, pp 437–467 | Cite as

Ostrowski-Like Method with Corrections for the Inclusion of Polynomial Zeros

  • Miodrag S. Petković
  • Dušan M. Milošević
Article

Abstract

In this paper we construct iterative methods of Ostrowski's type for the simultaneous inclusion of all zeros of a polynomial. Using the concept of the R-order of convergence of mutually dependent sequences, we present the convergence analysis of the total-step and the single-step methods with Newton and Halley's corrections. The case of multiple zeros is also considered. The suggested algorithms possess a great computational efficiency since the increase of the convergence rate is attained without additional calculations. Numerical examples and an analysis of computational efficiency are given.

Keywords

Mathematical Modeling Computational Mathematic Convergence Rate Iterative Method Industrial Mathematic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Miodrag S. Petković
    • 1
  • Dušan M. Milošević
    • 1
  1. 1.Faculty of Electronic EngineeringUniversity of NišMontenegro, e-mail

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