| 正规矩阵的范数和它的幂级数收敛性 |
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| 引用本文： | 郭华,.正规矩阵的范数和它的幂级数收敛性[J].重庆工商大学学报(自然科学版),2011,28(1):18-21. |
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| 作者姓名： | 郭华 |
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| 作者单位： | 重庆工商大学数学与统计学院,重庆,400067 |
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| 摘 要： | 研究了正规矩阵的范数,给出了正规矩阵的几种常用范数的几个性质;利用范数和谱半径与矩阵幂级数的收敛性的关系,给出了关于正规矩阵的幂级数收敛性的一些新结论.
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| 关 键 词： | 矩阵范数 矩阵幂级数 谱半径 特征值 绝对收敛 |
The Norm of Normal Matrix and the Convergence of Its Power Series |
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| GUO Hua.The Norm of Normal Matrix and the Convergence of Its Power Series[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2011,28(1):18-21. |
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| Authors: | GUO Hua |
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| Abstract: | This article has studied the norm of normal matrix and has given some properties of several kinds of commonly used norm of normal matrix;by using the relation between the norm,the spectral radius and the convergence of matrix power series,the article also gives some new conclusions about the convergence of normal matrix power series. |
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| Keywords: | matrix norm matrix power series spectral radius characteristic value absolute convergence |
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