| 正定矩阵的性质及相关问题 |
| |
| 引用本文： | 张丹,刘庆平.正定矩阵的性质及相关问题[J].数学理论与应用,2011(4):124-128. |
| |
| 作者姓名： | 张丹 刘庆平 |
| |
| 作者单位： | 湖南科技学院数学与计算科学系;中南大学数学与计算科学学院; |
| |
| 基金项目： | 中南大学教改基金资助项目,项目编号:1343-74333003041; 湖南科技学院2010年教改课题资助 |
| |
| 摘 要： | 正定矩阵具有非常广泛的应用.本文对正定矩阵的结论与重要性质进行了归纳总结,并在此基础上,对部分结论与性质进行了适当的推广.
|
| 关 键 词： | 正定矩阵 实对称矩阵 合同 顺序主子式 |
Properties of Positive Definite Matrices and Related Problems |
| |
| Zhang Dan Liu Qingping.Properties of Positive Definite Matrices and Related Problems[J].Mathematical Theory and Applications,2011(4):124-128. |
| |
| Authors: | Zhang Dan Liu Qingping |
| |
| Institution: | Zhang Dan1 Liu Qingping2(1.Department of Mathematics,Hunan University of Science and Engineering,Yongzhou,Hunan China 425100)(2.School of Mathematics,Central South University,Changsha,Hunan China 410075) |
| |
| Abstract: | Positive definite matrices are extensively used in many fields.This paper surveys the conclusions and properties on the positive definite matrices and also gives some generalizations to part of the known results. |
| |
| Keywords: | Positive definite matrix Real symmetric matrix Congruence Order principal minor |
| 本文献已被 CNKI 等数据库收录！ |
