A class of iterative methods for solving nonlinear projection equations
β Scribed by D. Sun
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 684 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0022-3239
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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 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