基于二次曲线,推导出了求解非线性方程的一类带参数的迭代公式,给出了算法的收敛性分析。新的迭代公式允许在所求根的邻域内出现导数为零的情况。数值试验表明新方法是非常有效的。%In this paper,one-parameter families of iterative methods for solving nonlinear equations are deduced,and the proof of the convergence properties is given.The new iteration formulae permit the vicinity of the required root at some points.Numerical experiments show that the new method is efficient.
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