## 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
✦ LIBER ✦
New iterative methods to solve equations and systems in ordered spaces
✍ Scribed by S. Heikkilä
- Book ID
- 104330331
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 128 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0362-546X
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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