On a generalisation of the root iterations for polynomial complex zeros in circular interval arithmetic-Reference-Cited by-同舟云学术

On a generalisation of the root iterations for polynomial complex zeros in circular interval arithmetic

Published:1981-03 Issue:1 Volume:27 Page:37-55
ISSN:0010-485X
Container-title:Computing
language:en
Short-container-title:Computing

Author:

Petković M. S.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Computational Theory and Mathematics,Computer Science Applications,Numerical Analysis,Theoretical Computer Science,Software

Link

http://link.springer.com/content/pdf/10.1007/BF02243437.pdf

Reference13 articles.

1. Dochev, K., Byrnev, P.: Certain modifications of Newton's method for the approximate solution of algebraic equations. Ž. Vyčisl. Mat. i Fiz.4, 915–920 (1964).

2. Ehrlich, L. W.: A modified Newton method for polynomials. Comm. ACM10, 107–108 (1967).

3. Gargantini, I., Henrici, P.: Circular arithmetic and the determination, of polynomials zeros. Numer. Math.18, 305–320 (1972).

4. Gargantini, I.: Parallel algorithms for the determination of polynomial zeros. Proc. 3rd. Manitoba Conf. Numer. Math., Winnipeg, 195–211 (1973).

5. Gargantini, I.: Parallel square root iterations. In: Interval Mathematics (Nickel, K., ed.), pp. 196–204. Berlin-Heidelberg-New York: Springer 1975.

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