摘要
给出了四元数体上次亚正定矩阵的概念,在概念的基础上研究其性质及次特征值.对于四元数体上次亚正定矩阵的判定,给出了四元数体上矩阵为次亚正定矩阵的几个充要条件,得到与次亚正定矩阵次合同的矩阵的正定性结果.
The concept of Metapositive Subdefinite Matrix over a Quaternion Field is put forth,on the basis of which its properties and sub-eigenvalues are researched. As for the determination of the Metapositive Subdefinite Matrix over a Quaternion Skew Field,some necessary and sufficient conditions are produced. Obtained also is the positive definite result of a metapositive subdefininte matrix containing a subcongruence.
出处
《内江师范学院学报》
2010年第6期17-19,共3页
Journal of Neijiang Normal University
关键词
四元数体
次亚正定矩阵
次转置矩阵
次特征值
次合同
充要条件
metapositive subdefinite
matrix over a quaternion skew field
sub-transpose of the matrix
sub-eigenvalus
subcongruence
necessary and sufficient conditions
