Document Zbl 0513.65024

Generalised root iterations for the simultaneous determination of multiple complex zeros. (English) Zbl 0513.65024

Z. Angew. Math. Mech. 62, 627-630 (1982).

Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0513.65024

MSC:

65H05	Numerical computation of solutions to single equations
65G30	Interval and finite arithmetic
30C15	Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral)

Keywords:

multiple complex zeros; interval methods; root iterations type; convergence

Cite Review PDF

Full Text: DOI

References:

[1]	Gargantini, Numer. Math. 18 pp 305– (1972)
[2]	Gargantini, SIAM J. Numer. Analysis 3 pp 497– (1978)
[3]	Gargantini, Comput. and Math. Appls. 6 pp 279– (1980)
[4]	Solution of Equations in Euclidean and Banach Spaces, New York, Academic Press 1973.
[5]	On some iterative interval methods for solving equations (in Serbocroatian), Ph. D. Thesis, University of Niš 1980.
[6]	; , On a representation of the k-th root in complex circular interval arithmetic. Interval Mathematics 80 (ed. ), New York, Academic Press 1980, 473–479.
[7]	On the generalisation of some algorithms for the simultaneous approximation of polynomial roots, Interval Mathematics 461–471.
[8]	Petković, Computing 27 pp 37– (1981)

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.