Convergence analysis of Sakurai–Torii–Sugiura iterative method for simultaneous approximation of polynomial zeros-Reference-Cited by-同舟云学术

Convergence analysis of Sakurai–Torii–Sugiura iterative method for simultaneous approximation of polynomial zeros

Published:2019-09 Issue: Volume:357 Page:56-70
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Proinov Petko D.^ORCID,Ivanov Stoil I.

Funder

National Science Fund, Bulgaria

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference27 articles.

1. Neuer Beweis des Satzes, dass jede ganze rationale Function einer Verand̈erlichen dargestellt werden kann als ein Product aus linearen Functionen derselben Verand̈erlichen;Weierstrass,1891

2. General convergence theorems for iterative processes and applications to the Weierstrass root-finding method;Proinov;J. Complexity,2016

3. Certain modifications of Newton’s method for the approximate solution of algebraic equations;Dochev;USSR Comput. Math. Math. Phys.,1964

4. A modified Newton method for polynomials;Ehrlich;Commun. ACM,1967

5. An improvement on Noureins method for the simultaneous determination of the zeros of a polynomial (an algorithm);Nourein;J. Comput. Appl. Math.,1977

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