An iterative method with cubic convergence for nonlinear equations

Applied Mathematics and Computation

Volumn 183, Issue 2, 2006, Pages 1249-1255

  Noor, Muhammad Aslam ^a   Noor, Khalida Inayat ^a   Mohyud Din, Syed Tauseef ^a   Shabbir, Asim ^a  

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

Author keywords

Convergence; Decomposition methods; Numerical examples; Three step methods

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS;

DECOMPOSITION METHODS; NUMERICAL EXAMPLES; THREE-STEP METHODS;

NONLINEAR EQUATIONS;

EID: 33845809212     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.05.133     Document Type: Article

References (8)

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3. Chun C. Iterative methods improving Newton's method by the decomposition method. Comput. Math. Appl. 50 (2005) 1559-1568
4. Daftardar-Gejji V., and Jafari H. An iterative method for solving nonlinear functional equations. J. Math. Anal. Appl. 316 (2006) 753-763
5. Homeier H.H. On Newton-type methods with cubic convergence. J. Comput. Appl. Math. 176 (2005) 425-432
6. M. Aslam Noor, Numerical analysis and optimization, Lecture Notes, Mathematics Department, COMSATS Institute of Information Technology, Islamabad, Pakistan, 2006.
7. 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.
8. M. Aslam Noor, K. Inayat Noor, Some iterative schemes for nonlinear equations, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.05.084.