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A Novel Method Finding Multiple Roots of Nonlinear Equations

机译:寻找非线性方程多重根的新方法

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摘要

A novel method for finding multiple roots of nonlinear equations is developed, which were not well solved by the other methods. The approach is especially suitable for finding the double roots of nonlinear equations. Several examples are given to illustrate the efficiency of the new method and to give the comparison with the recent cubic convergent methods. The results showed that the proposed approach can find the multiple roots of polynomials at a very rapid convergence and very high accuracy with less computation.
机译:提出了一种寻找非线性方程多重根的新方法,而其他方法并不能很好地解决这些问题。该方法特别适合于找到非线性方程的双根。给出了几个例子来说明新方法的效率,并与最近的三次收敛方法进行比较。结果表明,所提出的方法可以以非常快的收敛速度和很高的精度找到多项式的多个根,并且计算量更少。

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