| 关于准次正定矩阵 |
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| 引用本文： | 李庆玉,代洪霞. 关于准次正定矩阵[J]. 西南师范大学学报(自然科学版), 2007, 32(3): 36-39 |
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| 作者姓名： | 李庆玉 代洪霞 |
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| 作者单位： | 重庆工商大学,理学院,重庆,400067 |
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| 基金项目： | 重庆市科技攻关资助项目（CSTC2006EA0005） |
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| 摘 要： | 研究准次正定矩阵的性质及行列式理论.得到了判定准次正定矩阵的几个充要条件,以及准次正定矩阵的几个行列式不等式.并将著名的Fejer定理、Minkowski不等式及Hadamard不等式拓广到了准次正定阵上,扩大了Minkowski不等式的指数范围.
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| 关 键 词： | 准次正定矩阵 次亚正定矩阵 亚正定矩阵 行列式 不等式 |
| 文章编号： | 1000-5471（2007）03-0036-04 |
| 修稿时间： | 2006-11-07 |
On the Almost Positive Subdefinite Matrices |
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| LI Qing-yu,DAI Hong-xia. On the Almost Positive Subdefinite Matrices[J]. Journal of southwest china normal university(natural science edition), 2007, 32(3): 36-39 |
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| Authors: | LI Qing-yu DAI Hong-xia |
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| Affiliation: | Collogo of Sciences, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | The properties and determinant theories of the almost positive subdefinite matrix and determi- nant are discussed.The judging by seven necessary and sufficient conditions and five determinant inequali- ties of almost positive subdefinite matrix is established.As applications,some famous theorems and ine- qualities named after Fejer,Minkowski and Hadamard are generalized,and the index scope of Minkowski inequality is enlarged. |
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| Keywords: | almost positive subdefinite matrix metapositive subdefinite matrix metapositive definite matrix determinant inequality |
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