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.
出处
《湖南大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
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)
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
centro-symmetric matrices
generalized centro-symmetric matrices
reflexive matrices
P_n-symmetric matrices
