| 矩阵左半张量积的正定性 |
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| 引用本文： | 王慧敏,赵建立,牛磊.矩阵左半张量积的正定性[J].聊城师院学报,2009(1):1-3. |
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| 作者姓名： | 王慧敏 赵建立 牛磊 |
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| 作者单位： | 聊城大学数学科学学院,山东聊城252059 |
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| 基金项目： | 国家自然科学基金资助项目（10771073） |
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| 摘 要： | 对两个实矩阵的左半张量积为正定矩阵的情况进行了研究,从特征值的角度给出了某些实矩阵的左半张量积为正定矩阵的一系列充要条件,并得到了一些相关结论.
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| 关 键 词： | 正定矩阵 左半张量积 张量积 特征值 |
On the Positive Definiteness of the Left Semi-tensor Product of Matrices |
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| WANG Hui-min,ZHAO Jian-li,NIU Lei.On the Positive Definiteness of the Left Semi-tensor Product of Matrices[J].Journal of Liaocheng Teachers University(Natural Science Edition),2009(1):1-3. |
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| Authors: | WANG Hui-min ZHAO Jian-li NIU Lei |
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| Institution: | (School of Mathematics Science, Liaocheng University, Liaocheng 252059, China) |
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| Abstract: | The conditions that the left semi-tensor product of two real matrices is a positive definite matrix are researched,and a series of necessary and sufficient conditions are given from the perspective of eigenvalue. At the same time,some correlative results are obtained. |
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| Keywords: | positive definite matrix left semi-tensor product of matrices tensor product of matrices eigenvalue |
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