On a family of iterative methods for simultaneous extraction of all roots of algebraic polynomial

Applied Mathematics and Computation

Volumn 162, Issue 1, 2005, Pages 427-433

  Nedzhibov, Gyurhan H ^a   Petkov, Milko G ^b  

^a SHUMEN UNIVERSITY   (Bulgaria)

^b INSTITUTE OF MATHEMATICS AND INFORMATICS   (Bulgaria)

Author keywords

Multi point iterative methods; Order of convergence; Simultaneous iterative methods

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; LINEAR EQUATIONS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; POLYNOMIALS;

MULTI-POINT ITERATIVE METHODS; NEWTON-SECANT METHODS; ORDER OF CONVERGENCE; SIMULATANEOUS ITERATIVE METHODS;

ITERATIVE METHODS;

EID: 10444257218     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2003.12.103     Document Type: Article

References (6)

1. G.H. Nedzhibov, V.I. Hasanov, M.G. Petkov, On some families of multi-point iterative methods for solving nonlinear equations, in press.
2. J.F. Traub, Iterative Methods for the Solution of Equations, Prentice Hall, Englewood Cliffs, NJ, 1964.
3. M. Petkov, N. Kjurkchiev, Numerical methods for solving nonlinear equations, University of Sofia, Sofia, 2000 (in Bulgarian).
4. N. Kjurkchiev, S. Tashev, Method for simultaneous determination of the zeros of a polynomial, C. R. Acad. Bulgaire Sci. 34 (1981) 1053-1055.
5. G.H. Nedzhibov, On a few iterative methods for solving nonlinear equations, in: Application of Mathematics in Engineering and Economics'28, Proceedings of the XXVIII Summer School Sozopol'2002, Heron Press, Sofia, 2002.
6. G.H. Nedzhibov, M.G. Petkov, An acceleration of the iterative processes, in: Proceedings of XXXII Springer Conference'2003, Union Bulgarian Mathematicians, Sofia, 2003.