| 矩阵的幂序列 |
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| 引用本文： | 许汪涛,杜鸿科.矩阵的幂序列[J].陕西师范大学学报,1992(2). |
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| 作者姓名： | 许汪涛 杜鸿科 |
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| 作者单位： | 数学系，数学系 |
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| 摘 要： | 对 n×n 阶复矩阵引入矩阵的幂序列极限的概念,证明了若 A 是一个酉矩阵,则单位矩阵 I 是 A 的一个幂序列极限;并证明了矩阵 A 有一幂序列极限的充要条件是 A 的谱半径 r(A)<1,或者 r(A)=1,且模为1的特征根都是一阶特征根.
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| 关 键 词： | 矩阵代数 矩阵 酉矩阵 极限 |
Power sequences of matrices |
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| Xu Wangtao Du Hongke.Power sequences of matrices[J].Journal of Shaanxi Normal University: Nat Sci Ed,1992(2). |
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| Authors: | Xu Wangtao Du Hongke |
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| Institution: | Departement of Mathematics |
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| Abstract: | The notion of power sequence limits of complcx matrices is introduced.It is proved that the unit matrix is a power sequence limit of A,if A is a unitary matrix, and that a complex matrix has a power sequence limit,iff r(A)<1,or,r(A)=1 and every eigenvalue with module=1 has order 1. |
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| Keywords: | matrix algebra matrix unitary matrix limit |
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