| 关于复矩阵乘积的正定性 |
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| 引用本文： | 袁晖坪.关于复矩阵乘积的正定性[J].数学的实践与认识,2006,36(11):202-206. |
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| 作者姓名： | 袁晖坪 |
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| 作者单位： | 重庆工商大学理学院,四川,重庆,400067 |
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| 基金项目： | 重庆市自然科学基金;重庆市科技攻关项目 |
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| 摘 要： | 两复正定矩阵之和必是复正定矩阵,但其积未必是复正定矩阵.研究了复矩阵之积的正定性,给出了复矩阵之积为复正定矩阵的一系列判定条件,获得了一些新的结果,改进并推广了K y Fan T aussky定理及Fe jer定理.
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| 关 键 词： | 复正定矩阵 矩阵乘积 充要条件 |
| 修稿时间： | 2004年11月1日 |
On Metapositive Difinite of Product of Complex Matrices |
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| YUAN Hui-ping.On Metapositive Difinite of Product of Complex Matrices[J].Mathematics in Practice and Theory,2006,36(11):202-206. |
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| Authors: | YUAN Hui-ping |
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| Abstract: | The sum of two complex positive definite matrices is sure a complex positive definite matrix,but their product may not.The properties of metapositive definite of complex matrices product are discussed,and a series decision condition that two complex matrices product is a complex metapositive definite matrix are given,and some new results are gained.In addition,several results,such as Ky Fan Taussky theorem,Fejer theorem,etc.are generalized and improved. |
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| Keywords: | complex metapositive definite matrix product of matrix necessary and sufficient condition |
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