| 一元n次多项式根的园环复盖定理 |
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| 引用本文： | 沈景清.一元n次多项式根的园环复盖定理[J].通化师范学院学报,1998(5). |
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| 作者姓名： | 沈景清 |
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| 作者单位： | 通化师院数学系 通化 |
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| 摘 要： | 本文的主要结果是利用三种不同的相容矩阵范数,分别给出了任意一个一元n次多项式的所有复根必全都落在复平面的一个园环区域内。
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| 关 键 词： | 矩阵范数 相容矩阵范数 向量诱导的矩阵范数 矩阵的谱半径 向量P-范数 |
The Annulus Overlay Theorem of the Roots of Unitary Polynomial of n Degree |
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| Shen Jingqing.The Annulus Overlay Theorem of the Roots of Unitary Polynomial of n Degree[J].Journal of Tonghua Teachers College,1998(5). |
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| Authors: | Shen Jingqing |
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| Institution: | Shen Jingqing Department of Mathematics,Tonghua Teachers' College,Tonghua,134002 |
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| Abstract: | Using three different kinds of consistent matrix norm, this paper provesthat all the complex roots of any unitary polynomial must be in the annulus range ofcomplex plane. |
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| Keywords: | matrix norm consistent matrix norm matrix norm of vector induced spectral radius of matrix Vector P norm |
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