On derivative free cubic convergence iterative methods for solving nonlinear equations
β Scribed by M. Dehghan; M. Hajarian
- Book ID
- 110196392
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2011
- Tongue
- English
- Weight
- 202 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0965-5425
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π SIMILAR VOLUMES
x,,, -J, m = 1, 2, 3 . . be an iteration method for solving the nonlinear problem F(X) = 0, where F(X) and its derivatives possess all of the properties required by T(x,,,). Then ifit can be established thatfor the problem at hand jlF(~,+ 1)i/ < &,, llF(x& V m > M,, (M, < co) and 0 < &,, < 1, dejini
A family of new iteration methods without employing derivatives is proposed in this paper. We have proved that these new methods are quadratic convergence. Their efficiency is demonstrated by numerical experiments. The numerical experiments show that our algorithms are comparable to well-known metho
A family of eighth-order iterative methods for the solution of nonlinear equations is presented. The new family of eighth-order methods is based on King's fourth-order methods and the family of sixth-order iteration methods developed by Chun et al. Per iteration the new methods require three evaluat