实正规矩阵的亚正定性  

On the metapositive definite of real normal matrices

作　　者：袁晖坪[1] 李庆玉[1] 

机构地区：[1]重庆工商大学理学院,重庆400067

出　　处：《安徽大学学报（自然科学版）》2006年第6期8-11,共4页Journal of Anhui University(Natural Science Edition)

基　　金：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

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.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 Tausskv theorem. Feier theorem are zeneralized and imnroved.

关 键 词：实正规矩阵 实亚正定矩阵 矩阵乘积 充要条件 

分 类 号：O151.21[理学—数学]