Modified efficient variant of super-Halley method

Applied Mathematics and Computation

Volumn 189, Issue 2, 2007, Pages 2004-2010

  Rafiq, Arif ^a   Awais, Muhammad ^a   Zafar, Fiza ^b  

^a Department of Electrical Computer Engineering   (Pakistan)

^b BAHAUDDIN ZAKARIYA UNIVERSITY   (Pakistan)

Author keywords

Iterative method; Nonlinear equations; Numerical examples; Three step methods; Two step methods

Indexed keywords

COMPUTATIONAL METHODS; ITERATIVE METHODS; NUMERICAL METHODS;

SUPER-HALLEY METHOD; THREE-STEP METHODS; TWO-STEP METHODS;

NONLINEAR EQUATIONS;

EID: 34249076100     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.12.086     Document Type: Article

References (5)

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3. Chen D., Argyros I.K., and Qian Q.S. A local convergence theorem for the Super-Halley method in a Banach space. Appl. Math. Lett. 7 5 (1994) 49-52
4. J. Kou, Y. Li, X. Wang, A variant of super-Halley method with accelerated fourth-order convergence, Appl. Math. Comput., in press, doi:10.1016/j.amc.2006.07.118.
5. Kou J., Li Y., and Wang X. A modification of Newton method with third-order convergence. Appl. Math. Comput. 181 (2006) 1106-1111