摘要
定义了四元数体上的广义次正定矩阵，研究了它的一些基本性质，讨论了Kronecker乘积和Hadamard乘积的次正定性。
This paper represents an introduction to generalized metapositive definite matrices over the quaterniondivision ring and their properties. and discusses the metapositive definiteness of two kinds of products.
关键词
四元数体
次正定矩阵
广义次正定矩阵
矩阵
quaternion division ring, Metapositive definite selfconjugate matrix, metapositive definite matrix, generalized metapositive definite matrix
