On a class of quadratic convergence iteration formulae without derivatives

Applied Mathematics and Computation

Volumn 107, Issue 2-3, 2000, Pages 77-80

  Wu, Xinyuan ^a   Wu, Hongwei ^b  

^a NANJING UNIVERSITY   (China)

^b SOUTHEAST UNIVERSITY   (China)

Author keywords

Iterative method; Nonlinear equation; Numerical methods

Indexed keywords

EID: 0346480784     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(98)10009-7     Document Type: Article

References (4)

1. A.M. Ostrowski, Solution of Equations in Eucilidean and Banach Space, 3rd ed., Academic Press, New York, 1973.
2. P. Jarratt, A review of methods for solving nonlinear algebraic equations in one variable, in: Numerical Methods for Nonlinear Algebraic Equations, Science, Gordon and Breach, London, 1970, pp. 1-26.
3. I.F. Steffensen, Remarks on Iteration, Skand Aktuarietidskr 16 (1933) 64-72.
4. J.M. Ortega, W.C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, 1970.