Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 43, 1992 - Issue 1-2
Submit an article Journal homepage
14
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

A family of simultaneous zero finding methods

M. S. Petković University of Niš, Faculty of Electronic Engineering, Niš, 18000, Yugoslavia
,
L. V. Stefanović University of Niš, Faculty of Electronic Engineering, Niš, 18000, Yugoslavia
&
Z. M. Marjanović University of Niš, Faculty of Electronic Engineering, Niš, 18000, Yugoslavia
Pages 111-126 | Received 07 Mar 1991, Published online: 19 Mar 2007

References

  • Alefeld , G. and Herzberger , J. 1974 . On the convergence speed of some algorithms for the simultaneous approximation of polynomial zeros . SIAM J. Numer. Anal. , 11 : 237 – 243 .
  • Gargantini , I. 1978 . Further applications of circular arithmetic: Schroeder-like algorithms with error bounds for finding zeros of polynomials . SIAM J. Numer. Anal. , 5 : 497 – 510 .
  • Hansen , E. and Patrick , M. 1977 . A family of root finding methods . Numer. Math. , 27 : 257 – 269 .
  • Ortega , J. M. and Rheinboldt , W. C. 1970 . Iterative solution of nonlinear equations in several variables , New York : Academic Press .
  • Petković , M. S. 1989 . On Halley-like algorithms for simultaneous approximation of polynomial complex zeros . SIAM J. Numer. Anal. , 26 : 740 – 763 .
  • Petković , M. S. 1989 . Iterative Methods for Simultaneous Inclusion of Polynomial Zeros , Berlin : Springer-Verlag .
  • Petković , M. S. and Stefanović , L. V. 1984 . On the convergence order of accelerated root iterations . Numer. Math. , 44 : 463 – 476 .
  • Petković , M. S. and Stefanović , L. V. 1988 . Proceedings of Conference on Numerical Methods and Approximation Theory . On some parallel higher-order methods of Halley's type for finding multiple polynomial zeros . 1988 , Niš. Edited by: Milovanović , G. V. pp. 329 – 337 .
  • Petković , M. S. and Stefanović , L. V. 1986 . On some improvements of square root iteration for polynomial complex zeros . J. Comput. Appl. Math. , 15 : 13 – 25 .
  • Petković , M. S. , Milovanović , G. V. and Stefanović , L. V. 1986 . On some higher-order methods for the simultaneous approximation of multiple polynomial zeros . Comput. Math. Appl. , 12 : 951 – 962 .
  • Pomentale , T. 1971 . A class of iterative methods for holomorphic functions . Numer. Math. , 18 : 193 – 203 .
  • Sakurai T. Torii T. Sugiura H. A higher order iteration formula for simultaneous determination of zeros of a polynomial submitted for publication
  • Schröder , E. 1870 . Über unendlich viele Algorithmen zur Auflösung der Gleichungen . Math. Ann. , 2 : 317 – 365 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.