| 两矩阵的公共特征向量与同时三角化探讨 |
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| 引用本文： | 赵可琴,张小凯,陈铁生.两矩阵的公共特征向量与同时三角化探讨[J].许昌师专学报,2012(5):122-125. |
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| 作者姓名： | 赵可琴 张小凯 陈铁生 |
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| 作者单位： | 郑州大学数学系,河南郑州450052 |
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| 基金项目： | 国家自然科学基金资助项目（10961004） |
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| 摘 要： | 给出了两矩阵具有公共特征向量的一个充要条件和一个充分条件及两矩阵可同时三角化的充要条件，研究了具有公共向量矩阵及可同时三角化的性质，并给出若干应用．
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| 关 键 词： | 矩阵 特征值 公共特征向量 三角化 |
Research on Common Eigenvector and Simultaneous Triangularization of Matrix |
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| ZHAO Ke-qin,ZHANG Xiao-kai,CHEN Tie-sheng.Research on Common Eigenvector and Simultaneous Triangularization of Matrix[J].Journal of Xuchang Teachers College(Social Science Edition),2012(5):122-125. |
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| Authors: | ZHAO Ke-qin ZHANG Xiao-kai CHEN Tie-sheng |
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| Institution: | ( Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China) |
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| Abstract: | A necessary and sufficient condition and a sufficient condition of two matrixes possessing common eigenvectors are obtained. And a necessary and sufficient condition of simultaneous triangularization of two matrixes is provided. In addition, some properties of matrixes possessing common eigenvectors and simultaneous triangularization are given. Some examples about their application are also listed. |
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| Keywords: | matrix eigenvalue common eigenvector triangularization |
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