广义中心对称矩阵的结构与性质  

Structures and Properties of Generalized Centro-Symmetric Matrices

作　　者：李范良[1] 胡锡炎[1] 张磊[1] 

机构地区：[1]湖南大学数学与计量经济学院

出　　处：《湖南大学学报（自然科学版）》2005年第1期112-115,共4页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(19871024)

摘　　要：首先讨论广义中心对称矩阵的结构和性质,并由此把广义中心对称矩阵推广到一类更广泛的矩阵———Pn-对称矩阵.然后重点研究Pn-对称矩阵的性质.最后给出两种特殊类型的广义中心对称矩阵,同时也证明了这两种特殊的广义中心对称矩阵是自反矩阵.The structures and properties of generalized centro-symmetric matrices were first discussed and then generalized centro-symmetric matrices were extended to a class of new matrix: P_n-symmetric martrices. The properties of P_n-symmetric matrices were studied. Lastly, two special forms of generalized centro-symmetric matrices were given. It was proved that these two special forms of generalized centro-symmetric matrices were reflexive matrices.

关 键 词：中心对称矩阵 广义中心对称矩阵 自反矩阵 Pn-对称矩阵 

分 类 号：O241.6[理学—计算数学]