一类新的渐近稳定多项式 |
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引用本文: | 贺国强. 一类新的渐近稳定多项式[J]. 计算数学, 1986, 8(1): 1-11 |
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作者姓名: | 贺国强 |
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作者单位: | 上海科技大学 |
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摘 要: | [1]对[2]中提出的求多项式根的渐近因子分离法进行了详细的讨论,国外对此法(称为Sebastiao e Silva算法)也进行了大量的研究,例如[3]—[9].此算法有不少令人注目的特点.本文将讨论一类新的渐近稳定多项式,它们也具有许多与 Sebastiao e Silva算法相类似的性质.
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A NEW KIND OF ASYMPTOTICALLY STABLE POLYNOMIALS |
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Affiliation: | He Guo-qiang Shanghai University of Science and Technology |
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Abstract: | In this paper we introduce a new kind of asymptotically stable polynomials, whichconverge to these factors of a polynomial which have bigger roots. We also prove someproperties of this kind of polynomials. These properties are similar to those of the poly-nomials discussed in [1] and can be regarded as a basis for finding roots of polynomials. |
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