一个级数函数根的研究
首发时间:2009-02-23
摘要:本文对一个重要的级数函数的根给出了求其近似根的算法,利用该算法,结合计算机上的工具软件Matlab,设计了计算该级数函数近似根的语句,具体实现了实验性的计算了。在给出了近似根与准确根间的误差的估计式之后,用了两个近似根对它们与准确根间的误差也做了具体的计算。这项工作在充分证明了本文里给出的求近似根算法的正确性的同时,也确定出了准确根具体存在的位置。
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The reseach of the roots of one series function
Abstract:This paper gaves the algorithm of the approximate roots of one infinite series function, the approximate roots of this infinite series function are caculated by this algorithm and Matlab of the compute tools , and desigen the sentence which is used to calculate the approximate roots of this infinite series function, and achieve the experimental calculation specificly. After the formula of the error between the approximate roots and the exact roots is given, the errors of two roots are estimated between the approximate roots and the exact roots specificly. This operation prove that the algorithm of the approximate roots of this infinite series function is true, meanwhile the locations of the exact roots of this infinite series function are fixed.
Keywords: root infinite series function polynomial
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No.2946242552112353****
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