Generalized normal matrices  

作　　者：MA Hong-ping MIAO Zheng-ke LI Jiong-sheng 

机构地区：[1]School of Mathematical Sciences, Xuzhou Normal University, Xuzhou, 221116, China [2]Department of Mathematics, University of Science and Technology of China, Hefei 230026, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2008年第2期240-244,共5页高校应用数学学报（英文版）（B辑）

基　　金：Natural Science Foundation of Jiangsu Province(BK2007030);the National Natural Science Foundation of China(10471037);the Natural Science Foundation of the Education Committee of Jiangsu Province(07KJD110207,06KJD110179).

摘　　要：A matrix A ∈ Mn（C） is called generalized normal provided that there is a positive definite Hermite matrix H such that HAH is normal. In this paper, these matrices are investigated and their canonical form, invariants and relative properties in the sense of congruence are obtained.A matrix A ∈ Mn（C） is called generalized normal provided that there is a positive definite Hermite matrix H such that HAH is normal. In this paper, these matrices are investigated and their canonical form, invariants and relative properties in the sense of congruence are obtained.

关 键 词：generalized normal matrix CONGRUENCE canonical form invariant. 

分 类 号：O151.21[理学—数学]