复正规矩阵的亚正定性  

On the metapositive definite of complex normal matrices

作　　者：袁晖坪[1] 

机构地区：[1]重庆工商大学理学院,重庆400067

出　　处：《上海理工大学学报》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

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.

关 键 词：复正规矩阵 复亚正定矩阵 矩阵乘积 充要条件 

分 类 号：O151.21[理学—数学]