| 矩阵的拟直和分解与Craig定理 |
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| 引用本文： | 何淦瞳.矩阵的拟直和分解与Craig定理[J].数学的实践与认识,2005,35(10):153-156. |
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| 作者姓名： | 何淦瞳 |
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| 作者单位： | 贵州大学数学系,贵州,贵阳,550025 |
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| 基金项目： | 贵州省教育厅自然科学基金资助项目(2002303) |
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| 摘 要： | 讨论了矩阵的和与其加项之间,在等价关系及(对称阵的)合同关系上的联系.并进一步讨论了矩阵和的非零特征值与其加项的非零特征值之间的联系,给出了C ra ig定理的一个代数形式和代数证明.
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| 关 键 词： | 拟直和 特征值 |
| 修稿时间： | 2003年9月6日 |
Quasidirect Sum of Matrices and Craig's Theorem |
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| HE Gan-tong.Quasidirect Sum of Matrices and Craig''''s Theorem[J].Mathematics in Practice and Theory,2005,35(10):153-156. |
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| Authors: | HE Gan-tong |
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| Abstract: | The relation between the equivalent canonical form of a sum of matrices and of its summand′s is studied in this paper.The relation of the non-zero eigenvalues of a sum of matrices to of its summand′s is considered too.A algebraic form and proof of the Craig′s Theorem is given also. |
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| Keywords: | quasidirect sum eigenvalues |
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