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| Multi-point curve method of solving nonlinear equation |
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YU Gui-jie1,U Wei-guo2
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(1. College of Transport & Storage and Civil Engineering in China University of Petroleum, Qingdao 266555, China ;2. College of Mathematics and Computational Sciences in China University of Petroleum, Dongying 257061， China)
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| Abstract: |
| By analyzing the traditional numerical methods of solving nonlinear equations，a kind of multi-point curve methods which have strong geometric background were presented. This kind of methods not only have super-quadratic convergence, but also can iterate without higher derivatives. Furthermore, the convergent fields of these new methods are obviously improved compared with higher order non-Newton method. The numerical results show that the presented method is effective in solving singular nonlinear equation and nonlinear systems of equations. |
| Key words: nonlinear equation higher order convergence nonlinear systems of equations singularity |
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