摘要
给出了四元数矩阵的各种正定矩阵的定义，建立了四元数矩阵的乘积、直积和圈积的正定性的一系列定理．
This gives all kind of definitions of quarternion positive definite matrices.Some theorems on positive definite property for products,direct product,and circular product for quaternion matrices are built.
关键词
四元数体
自共轭矩阵
亚正定矩阵
广义正定矩阵
Quarternion field Self-conjugate matrix Weak positive definite matrix Generalized positive definite matrix
