Some variants of Ostrowski's method with seventh-order convergence

Journal of Computational and Applied Mathematics

Volumn 209, Issue 2, 2007, Pages 153-159

  Kou, Jisheng ^a,b   Li, Yitian ^b   Wang, Xiuhua ^c  

^a SHANGHAI UNIVERSITY   (China)

^b WUHAN UNIVERSITY   (China)

^c XIAOGAN UNIVERSITY   (China)

Author keywords

Iterative method; Non linear equations; Ostrowski's method; Root finding

Indexed keywords

FUNCTIONS; ITERATIVE METHODS; NONLINEAR EQUATIONS;

MULTISTEP ITERATIONS; OSTROWSKI'S METHOD; ROOT-FINDING;

CONVERGENCE OF NUMERICAL METHODS;

EID: 34548396243     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.10.073     Document Type: Article

References (7)

1. Amat S., Busquier S., and Gutiérrez J.M. Geometric constructions of iterative functions to solve nonlinear equations. J. Comput. Appl. Math. 157 (2003) 197-205
2. Gautschi W. Numerical Analysis: An Introduction (1997), Birkhäuser, Basel
3. Grau M., and Díaz-Barrero J.L. An improvement to Ostrowski root-finding method. Appl. Math. Comput. 173 (2006) 450-456
4. Gutiérrez J.M., and Hernández M.A. A family of Chebyshev-Halley type methods in Banach spaces. Bull. Austral. Math. Soc. 55 (1997) 113-130
5. Ostrowski A.M. Solutions of Equations and System of Equations (1960), Academic Press, New York
6. Potra F.A., and Pták V. Nondiscrete induction and iterative processes. Research Notes in Mathematics vol. 103 (1984), Pitman, Boston
7. Weerakoon S., and Fernando T.G.I. A variant of Newton's method with accelerated third-order convergence. Appl. Math. Lett. 13 (2000) 87-93