An Application of the Finite Element Approximation Method to Find the Complex Zeros of the Modified Bessel Function Kn(z)
An Application of the Finite Element Approximation Method to Find the Complex Zeros of the Modified Bessel Function Kn(z)
复制标题
应用有限元逼近法求修正贝塞尔函数Kn(z)的复零点
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
S. Ghaderpanah
中科院分区：
文献类型：
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作者：
By K. V. Leung;S. Ghaderpanah
使用有限元近似，描述了一种迭代优化方案，以找到固定阶n的Kniz)的z零。已经实现了两个计算机程序，以计算精度为13或27位有效数字来寻找复零。本文所描述的优化方案也可以很容易地应用于求具有实系数和复系数的任意函数的实零和复零。它的精度和效率都不受函数根个数的影响。
Using a finite element approximation, an iterative optimization scheme is described to find the z zeros of Kniz) for fixed order n. Two computer programs have been implemented to find the complex zeros with a computational accuracy of either 13 or 27 significant digits. The optimization scheme described in the paper may also be readily applied to find real and complex zeros of an arbitrary function with real and complex coefficients. Neither its accuracy nor its efficiency is affected by the number of the roots of the function.