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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. |
| 关键词: 矩阵范数 矩阵幂级数 谱半径 特征值 绝对收敛 |
| DOI： |
| 分类号: |
| 基金项目: |
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| The Norm of Normal Matrix and the Convergence of Its Power Series |
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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. |
| Key words: matrix norm matrix power series spectral radius characteristic value absolute convergence |
