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Sixth-order variants of Chebyshev–Halley methods for solving non-linear equations |
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| Authors: | Jisheng Kou Xiuhua Wang |
| Affiliation: | aDepartment of Mathematics, Shanghai University, Shanghai 200444, China bDepartment of Mathematics, Xiaogan University, Xiaogan 432100, Hubei, China |
| Abstract: | In this paper, we present a family of new variants of Chebyshev–Halley methods with sixth-order convergence. Compared with Chebyshev–Halley methods, the new methods require one additional evaluation of the function. The numerical results presented show that the new methods compete with Chebyshev–Halley methods. |
| Keywords: | Chebyshev–Halley methods Newton’s method Non-linear equations Iterative method Root-finding |
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