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首页> 外文期刊>American Journal of Computational and Applied Mathematics >A New Fifth-Order Iterative Method for Finding MultipleRoots of Nonlinear Equations
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A New Fifth-Order Iterative Method for Finding MultipleRoots of Nonlinear Equations

机译:寻找非线性方程多重根的五阶迭代新方法

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In this paper, we present a fifth-order method for finding multiple zeros of nonlinear equations. Per iteration, the new method requires two evaluations of functions and two of its first derivative. It is proved that the method has a convergence of order five. Finally, some numerical examples are given to show the performance of the presented method, and compared with some known methods.
机译:在本文中,我们提出了一种寻找非线性方程的多个零的五阶方法。每次迭代,新方法都需要对函数进行两次评估以及对其一阶导数进行两次评估。证明该方法具有五阶收敛性。最后,给出了一些数值例子来说明所提出方法的性能,并与一些已知方法进行了比较。

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