日本応用数理学会論文誌
Online ISSN : 2424-0982
ISSN-L : 0917-2246
数値積分誤差を用いた新しい多項式の零点の解法
鈴木 智博鈴木 俊夫武藤 秀夫
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1999 年 9 巻 2 号 p. 65-76

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The purpose of this paper is to introduce a new method to compute the zeros of polynomials. A lot of methods are available for the determination of the zeros of polynomials^[6]. The feature of our method is in using the errors of numerical integrals of the logarithmic derivative of the polynomial. Our method is explained in two algorithms. The fundamental algorithm finds the zero which is the nearest to the initial value as our theory indicates. We propose the applied algorithm as a practical one, which converges more quickly than dose the fundamental algorithm.
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© 1999 一般社団法人 日本応用数理学会
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