| 一类复正定矩阵的充要条件 |
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| 引用本文： | 袁德正,王抚山. 一类复正定矩阵的充要条件[J]. 内蒙古农业大学学报(自然科学版), 1999, 0(2): 100-110 |
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| 作者姓名： | 袁德正 王抚山 |
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| 作者单位： | 内蒙古农牧学院基础课部(袁德正)，沈阳炮兵学院(王抚山) |
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| 摘 要： | 对复正定矩阵的研究，得到了复正定矩阵的合同标准形和复正定矩阵Ｋｒｏｎｅｃｋｅｒ积、Ｈａｂａｍａｒｄ积正定性的充要条件。
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| 关 键 词： | 实正定对称矩阵；Hermitian正定矩阵；复正定矩阵；合同标准形；广义特征值 |
| 文章编号： | 1001-8727(1999)02-0108-03 |
| 修稿时间： | 1998-12-28 |
NECESSARY AND SUFFICIENT CONDITIONS FOR A CLASS OF COMPLEX POSITIVE DEFINITE MATRICES |
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| YUAN De-zheng,WANGFu-shan. NECESSARY AND SUFFICIENT CONDITIONS FOR A CLASS OF COMPLEX POSITIVE DEFINITE MATRICES[J]. Journal of Inner Mongolia Agricultural University(Natural Science Edition), 1999, 0(2): 100-110 |
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| Authors: | YUAN De-zheng WANGFu-shan |
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| Affiliation: | YUAN De-zheng1,WANGFu-shan2 |
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| Abstract: | In this paper we study The congruence normal form, the positive definiteness of Kronecker product and Hadamard product for the complex positive definite matrices were studied. |
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| Keywords: | real positive definite symmetric matrix Hermitian positive definite matrix complex positive definite matrix congruence normal form generalized eigenvalie. |
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