| 实正规矩阵的亚正定性 |
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| 引用本文： | 袁晖坪,李庆玉. 实正规矩阵的亚正定性[J]. 安徽大学学报(自然科学版), 2006, 30(6): 8-11 |
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| 作者姓名： | 袁晖坪 李庆玉 |
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| 作者单位： | 重庆工商大学,理学院,重庆,400067;重庆工商大学,理学院,重庆,400067 |
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| 基金项目： | 重庆市自然科学基金资助项目（CSTS2005BB0243）;重庆市高校优秀中青年骨干教师科研基金资助项目 |
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| 摘 要： | 研究实矩阵的正定性,在数学理论或应用中具有重要意义和应用价值,是矩阵论中重要的热门课题之一.本文研究了实正规矩阵的亚正定性,利用特征值给出了实亚正定矩阵的一系列充要条件,获得了一些新的结果,改进并推广了Ky Fan Taussky定理和Fejer定理.
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| 关 键 词： | 实正规矩阵 实亚正定矩阵 矩阵乘积 充要条件 |
| 文章编号： | 1000-2162（2006）06-0008-04 |
| 收稿时间： | 2006-05-08 |
| 修稿时间： | 2006-05-08 |
On the metapositive definite of real normal matrices |
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| YUAN Hui-ping,LI Qing-yu. On the metapositive definite of real normal matrices[J]. Journal of Anhui University(Natural Sciences), 2006, 30(6): 8-11 |
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| Authors: | YUAN Hui-ping LI Qing-yu |
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| Affiliation: | Department of Science College, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | To study of real metapositively definite matrix is of important significance and application value in mathematics theory or application,and it is the important popular subject in matrix theory.The properties of metapositive definite of real normal matrices are discussed,make use of the characteristic value to have given a series of the necessary and sufficient condition that real metapositive definite matrices,and some new results are gained.In addition,well-known Ky Fan Taussky theorem,Fejer theorem are generalized and improved. |
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| Keywords: | real normal matrix real metapositive definite matrix product of matrix necessary and sufficient condition |
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