| 复合矩阵及其在Hermite矩阵中的应用 |
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| 引用本文： | 夏璇,毕公平.复合矩阵及其在Hermite矩阵中的应用[J].江西师范大学学报(自然科学版),2009,33(3). |
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| 作者姓名： | 夏璇 毕公平 |
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| 作者单位： | 南昌航空大学,数学与信息科学学院,江西,南昌,330063 |
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| 摘 要： | 将复合矩阵与Hermite矩阵相结合进行讨论,推导了复合矩阵的性质,揭示了复合矩阵与Hermite矩阵的内在关系,给出了Hermite矩阵的3个结论,并应用复合矩阵的性质巧妙证明了这3个结论.
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| 关 键 词： | 复合矩阵 Hermite矩阵 特征值 奇异值 |
Compound Matrix and Its Application to Hermite Matrix |
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| XIA Xuan,BI Gong-ping.Compound Matrix and Its Application to Hermite Matrix[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2009,33(3). |
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| Authors: | XIA Xuan BI Gong-ping |
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| Institution: | School of Mathematics and Information Science;Nanchang Hangkong University;Nanchang 330063;China |
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| Abstract: | In this paper,the compound matrix and Hermite matrix are discussed together.The properties of compound matrix are determined,and the relations between compound matrix and Hermite matrix are shown.Further more,Three conclusions about Hermite matrix are given,and are identified ingeniously by using properties of compound matrix. |
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| Keywords: | compound matrix Hermite matrix eigenvalue singular value |
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