摘要
给出实四元数体上矩阵对称积的定义,得到了自共轭矩阵的对称积仍是自共轭矩阵的结论.最后得到可以通过判断对称积矩阵正定性来判断自共轭矩阵正定性的定理.
The definition of symmetric product over matrices of Quaternion Division Algebra was given. A conclusion that the symmetric product of a self-conjugate matrix is still a self-conjugate matrix was obtained. And the theorem of determining the positive definiteness of a self-conjugate matrix by aid of judging the positive definiteness of symmetric product was obtained.
出处
《内江师范学院学报》
2008年第10期40-42,共3页
Journal of Neijiang Normal University
关键词
四元数体
对称积
自共轭矩阵
正定矩阵
quaternion division algebra
symmetric product
self-conjugate matrix
positive definite matrix
