On the construction of simultaneous methods for multiple zeros

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 2, 1997, Pages 669-676

  Petković, Ljiljana ^a   Tričković, Slobodan ^a  

^a UNIVERSITY OF NI   (Serbia)

Author keywords

Convergence order; Multiple zeros of polynomials; Simultaneous methods

Indexed keywords

EID: 0010632616     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00408-2     Document Type: Article

References (7)

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3. MAEHLY V.H., Zur iterativen Auflösung algebraischer Gleichungen, Z. Angew. Math. Phys. 5, 260-263 (1954).
4. OSADA N., An optimal multiple root-finding method of order three, J. Appl. Comput. Math. 51, 131-133 (1994).
5. PETKOVIĆ Lj. & ŽIVKOVIĆ D., On an accelerated Laguerre's method for finding zeros of a polynomial, Proc. of X Conf. on Applied Mathematics (eds D. Herceg, Lj. Cvetković), Institute of Mathematics, Novi Sad 1996, pp. 55-63.
6. PETKOVIĆ M., Iterative methods for simultaneous determination of polynomial zeros, Springer-Verlag, Berlin-Heidelberg-New York 1989.
7. WEIERSTRASS K., Neuer Beweis des Satzes, dass jede ganze rationale Funktion einer Veränderlichen dargestellt werden kann als ein Produkt aus linearen Funktionen derselben Veränderlichen. Ges. Werke 3 (1903) 251-269 (Johnson Reprint Corp., New York, 1967).