On new third-order convergent iterative formulas |
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| Authors: | Wang Haijun |
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| Affiliation: | (1) China University of Mining and Technology, Xuzhou, 221008, People’s Republic of China;(2) Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, People’s Republic of China |
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| Abstract: | In this paper, we present new iteration methods with cubic convergence for solving nonlinear equations. The main advantage of the new methods are free from second derivatives and it permit that the first derivative is zero in some points. Analysis of efficiency shows that the new methods can compete with Newton’s method and the classical third-order methods. Numerical results indicate that the new methods are effective and have definite practical utility. |
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| Keywords: | Nonlinear equation Iterative method Order of convergence Newton’ s method |
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