| 一类特殊块下三角复合矩阵可换的研究 |
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| 引用本文： | 侯春娟.一类特殊块下三角复合矩阵可换的研究[J].佳木斯工学院学报,2010(4):604-607. |
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| 作者姓名： | 侯春娟 |
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| 作者单位： | 广东商学院华商学院,广东广州511300 |
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| 摘 要： | 通常的特征值问题是块复合矩阵之块特征值的一种特殊形式.本文主要应用块复合矩阵的可换的定义,研究了一类特殊块下三角复合矩阵A和B可换的条件.
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| 关 键 词： | 块复合矩阵 下三角矩阵 块特征值 块特征向量. |
Research on a Class of Special Exchangeable Block Compound Lower Triangular Matrices |
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| Authors: | HOU Chun-juan |
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| Affiliation: | HOU Chun-juan ( Huashang College ,Guangdong University of Business Studies,Guangzhou 511300,China) |
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| Abstract: | Since the research on eigenvalue problems has always been a key topic of mathematical matrices,the researches on the block eigenvalues of block compound matrices are quite systematic. Usually,an eigenvalue problem takes a special form of block eigenvalues of a block compound matrix. Therefore,the research on block eigenvalue problems plays a very important role. In this paper,some properties of the block eigenvalues for block compound lower triangular matrices was discussed. Also,the special exchangeable situation was studied about two block compound lower triangular matrices A and B. |
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| Keywords: | block compound matrix lower triangular matrix block eigenvalue block eigenvector |
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