四元数体上次亚正定矩阵的基本性质  

Some Properties of Metapositive Subdefinite Matrix over the Quarternion Division Ring

作　　者：钟振华[1] 任斌[2] 

机构地区：[1]楚雄师专数学系,云南楚雄675000 [2]四川师范学院数学系,四川南充637002

出　　处：《四川师范学院学报（自然科学版）》2001年第4期310-314,共5页Journal of Sichuan Teachers College(Natural Science)

摘　　要：在实四元数体上引入了次亚正定矩阵的概念 ,讨论了它的一些基本性质 ,并研究了次亚正定矩阵的Kro necker乘积和Hadamard乘积 。This paper introduces the concept of the metapositive subdefinite matraix over the real quarternion division ring. We have given some basic properties, the Kronecker product and Hadamard product of these matrixes. Consequently, some famous theorems in the ordinary matrix theory are generalized.

关 键 词：次亚正定矩阵 KRONECKER乘积 HADAMARD乘积 四元数体 矩阵理论 自共轭正定矩阵 

分 类 号：O151.21[理学—数学]