An acceleration of iterative processes for solving nonlinear equations

Applied Mathematics and Computation

Volumn 168, Issue 1, 2005, Pages 320-332

  Nedzhibov, Gyurhan H ^a  

^a SHUMEN UNIVERSITY   (Bulgaria)

Author keywords

Iterative method; Multi point iterative process; Order of convergence; Simultaneous root finding

Indexed keywords

ACCELERATION; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS;

MULTI-POINT ITERATIVE PROCESS; MULTIPLICITY RATE; ORDER OF CONVERGENCE; SIMULTANEOUS ROOT FINDING;

NONLINEAR EQUATIONS;

EID: 25644444387     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2004.08.020     Document Type: Article

References (8)

1. J.F. Traub Iterative Methods for the Solution of Equations 1964 Prentice Hall Englewood Cliffs, NJ
2. N.V. Kyurkchiev, Initial approximation and root finding methods, Mathematical Research, vol. 104, Berlin, 1998.
3. M. Petkov, and N. Kjurkchiev Numerical Methods for Solving Nonlinear Equations 2000 University of Sofia Sofia (in Bulgarian)
4. L. Chakalov Introduction in Theory of Analytic Functions 1975 Science and Art Sofia pp. 178-182 (in Bulgarian)
5. B. Sendov, and V. Popov Numerical Methods, Part I 1976 Nauka i Izkustvo Sofia (in Bulgarian)
6. M.R. Farmer, and G. Loizou An algorithm for the total, or partial, factorization of a polynomial Math. Proc. Camb. Philos. Soc. 82 1977 427
7. G.H. Nedzhibov, M.G. Petkov, An acceleration of the iterative processes, in: Proceedings of XXXII Springer Conference'2003, Union of the Bulgarian Mathematicians, Sofia, 2003.
8. G.H. Nedzhibov, M.G. Petkov, A family of iterative methods for simultaneous computing of all zeros of algebraic equation, in: XXVIII Summer School Application of Mathematics in Engineering and Economics'28, Sozopol'2003, Sofia, 2003.