| 关于拟次正定矩阵 |
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| 引用本文： | 袁晖坪 罗长青 刁善会. 关于拟次正定矩阵[J]. 重庆工商大学学报(自然科学版), 2001, 18(3): 29-33 |
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| 作者姓名： | 袁晖坪 罗长青 刁善会 |
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| 作者单位： | 渝州大学数学系,重庆,400033 |
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| 基金项目： | 重庆市教委科学基金资助项目. |
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| 摘 要： | 提出了拟次正定矩阵的概念,研究了它的基本性质,取得了许多新的结果,将实对称正定阵的Schur定理、华罗庚定理、Openheim不等式拓广到了拟次正定阵上,并将各类实次正定矩阵统一了起来.
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| 关 键 词： | 拟次正定矩阵 次亚正定矩阵 次对称次正定矩阵 |
| 文章编号： | 1006-3293(2001)03-0029-05 |
| 修稿时间： | 2001-04-12 |
On Quasi Positive Sub-definite Matrix |
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| YUAN Hui-ping,?LUO Chang-qing,?DIAO Shan-hui. On Quasi Positive Sub-definite Matrix[J]. Journal of Chongqing Technology and Business University:Natural Science Edition, 2001, 18(3): 29-33 |
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| Authors: | YUAN Hui-ping ?LUO Chang-qing ?DIAO Shan-hui |
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| Abstract: | The concept of quasi positive sub-definite matrix is giv en.Its basic properties have been discussed.A lot of new results have been obtai ned.The Schur's theorem of symmetric positive definite matrix,Hua Luo-geng theor em and Openheim inequality are generaliged and applied to quasi positive subdefi nite matrix,and the various kinds of positive subdefinite matrix have been unifi ed. |
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| Keywords: | quasi positive subdefinite matrix metapositive sub-defi nite matrix sub-summetric positive sub-definite matrix |
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