摘要
研究了复正规矩阵的亚正定性,给出了复矩阵之积为复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、Fejer定理等.
The properties of metapositive definite of complex normal matrices are discussed, and a series of necessary and sufficient conditions under which of the product two complex matrices will be a complex metapositive definite matrix is given, and some new results are gained. In addition, several theorems,such as Ky Fan Taussky theorem,Fejer theorem, etc. are generalized and improved.
出处
《上海理工大学学报》
EI
CAS
北大核心
2005年第4期291-294,共4页
Journal of University of Shanghai For Science and Technology
基金
重庆市教委科学基金资助(3-10-71)
重庆市高校优秀中青年骨干教师科研基金资助
重庆市自然科学基金资助
关键词
复正规矩阵
复亚正定矩阵
矩阵乘积
充要条件
complex normal matrix
complex metapositive definite matrix
product of matrix
necessary and sufficient condition