Modified families of multi-point iterative methods for solving nonlinear equations
โ Scribed by V. Kanwar; S. K. Tomar
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 156 KB
- Volume
- 44
- Category
- Article
- ISSN
- 1017-1398
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๐ SIMILAR VOLUMES
We extend to n-dimensional case a known multi-point family of iterative methods for solving nonlinear equations. This family includes as particular cases some well known and also some new methods. The main advantage of these methods is they have order three or four and they do not require the evalua
## a b s t r a c t In this paper, three new families of eighth-order iterative methods for solving simple roots of nonlinear equations are developed by using weight function methods. Per iteration these iterative methods require three evaluations of the function and one evaluation of the first der
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