caa a22 4500 465751539 CHVBK 20180323111835.0 cr unu---uuuuu 170327e19900301xx s 000 0 eng 10.1007/BF02250583 doi (NATIONALLICENCE)springer-10.1007/BF02250583 Petković M. Faculty of Electronic Engineering, Beogradska 14, P. O. Box 73, YU-18000, Niš, Yugoslavia aut Schröder-like algorithms for multiple complex zeros of a polynomial [Elektronische Daten] [M. Petković] Schröder Algorithmen für mehrfache komplexe Nullstellen eines Polynoms Using the iterative method of Newton's type in circular arithmetic, introduced in [14], a new iterative method for finding a multiple complex zero of a polynomial is derived. This method can be regarded as a version of classical Schröder's method. Initial conditions which guarantee a safe convergence of the proposed method are stated. The increase of the computational efficiency is achieved by a combination of the complex approximation methods of Schröder's type with some interval methods. The presented algorithms are analysed in view of their efficiency and illustrated numerically in the example of a polynomial equation. Springer-Verlag, 1990 Iterative methods nationallicence multiple complex zeros nationallicence polynomial equations nationallicence computational efficiency nationallicence circular complex arithmetic nationallicence Computing Springer-Verlag 45/1(1990-03-01), 39-50 0010-485X 45:1<39 1990 45 607 https://doi.org/10.1007/BF02250583 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02250583 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Petković M. Faculty of Electronic Engineering, Beogradska 14, P. O. Box 73, YU-18000, Niš, Yugoslavia aut NATIONALLICENCE 773 0- Computing Springer-Verlag 45/1(1990-03-01), 39-50 0010-485X 45:1<39 1990 45 607 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer