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一个八阶收敛的修正牛顿法

A Modified Newton's Method with Eighth-Order Convergence
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摘要 给出了一个求解非线性方程的新算法,并证明了它具有八阶收敛速度。同时给出数值试验,通过与牛顿法及其他算法比较,说明了新算法具有一定的优越性。 A new modified Newton's method for solving nonlinear equations with eighth-order convergence is proposed in this paper,and the convergence is proved.Further more,the numerical tests are given and compared with Newton's method and other iterative methods.The results show that the proposed method has some advantages.
出处 《唐山师范学院学报》 2011年第2期45-47,共3页 Journal of Tangshan Normal University
关键词 非线性方程 迭代法 收敛性 效能指数 nonlinear equations iterative method convergence efficiency index
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参考文献6

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