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| 摘要: |
| 研究了矩阵幂级数，利用方阵A的特征值和方阵A的幂级数系数之间的各种关系，给出了方阵幂级数绝对收敛和发散的一系列判定法。 |
| 关键词: 矩阵幂级数 谱半径 矩阵范数 特征值 绝对收敛 |
| DOI： |
| 分类号: |
| 基金项目: |
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| Notes on Determination Theorem of the Convergence of Square Matrix Power Series |
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GUO Hua
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| Abstract: |
| The matrix power series is studied,by using all kinds of relations between eigenvalue of squre matrix A and power series of square matrix A ,this article has given a series of criteria of the absolute convergence and divergence of the square matrix power series. |
| Key words: matrix power series spectral radius matrix norm characteristic value absolute convergence |
