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