Predictor-corrector Halley method for nonlinear equations

Applied Mathematics and Computation

Volumn 188, Issue 2, 2007, Pages 1587-1591

  Inayat Noor, Khalida ^a   Aslam Noor, Muhammad ^a  

^a COMSATS Institute of Information Technology ^*  (Pakistan)

Author keywords

Convergence analysis; Halley method; Predictor corrector method; Technique of updating the solution

Indexed keywords

COMPUTATIONAL EFFICIENCY; CONVERGENCE OF NUMERICAL METHODS; FUNCTION EVALUATION; ITERATIVE METHODS; PROBLEM SOLVING;

CONVERGENCE ANALYSIS; HALLEY METHOD; PREDICTOR-CORRECTOR METHOD; ROOT FINDING METHOD;

NONLINEAR EQUATIONS;

EID: 34248169651     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.11.023     Document Type: Article

References (12)

1. Abbasbandy S. Improving Newton-Raphson method for nonlinear equations by modified Adomian decomposition method. Appl. Math. Comput. 145 (2003) 887-893
2. Burden R.L., and Douglas Faires J. Numerical Analysis (2001), PWS Publishing Company, Bostan
3. Chun C. Iterative methods improving Newton's method by the decomposition method. Comput. & Math. Appl. 50 (2005) 1559-1568
4. Grau M., and Diaz-Barrero J.L. An improvement to Ostrowski root-finding method. Appl. Math. Comput. 173 (2006) 450-456
5. Halley E. A new, exact and easy method for finding the roots of equations generally, and that without any previous reduction. Philos. R. Soc. London 18 (1964) 136-147
6. Melman A. Geometry and convergence of Halley's method. SIAM Rev. 39 4 (1997) 728-735
7. Aslam Noor M. Numerical Analysis and Optimization Lecture Notes Mathematics Department (2006), COMSATS Institute of Information Technology, Islamabad, Pakistan
8. M. Aslam Noor, K. Inayat Noor, Fifth-order iterative methods for solving nonlinear equations, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.10.007.
9. Aslam Noor M., and Inayat Noor K. Modified iterative methods with cubic convergence for solving nonlinear equations. Appl. Math. Comput. (2006) doi:10.1016/j.amc.2006.05.155
10. M. Aslam Noor, K. Inayat Noor, Some iterative schemes for solving nonlinear equations, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.05.084.
11. M. Aslam Noor, K. Inayat Noor, Three-step iterative methods for nonlinear equations, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.05.055.
12. Traub J.F. Iterative Methods for Solution of Equations (1964), Prentice-Hall, Englewood Cliffs, NJ