四元数矩阵特征值的估计定理  

Estimation Theorem of Quaternion Matrix Eigenvalues

作　　者：陈湘贇[1] 

机构地区：[1]盐城工学院基础教学部,江苏盐城224003

出　　处：《南京工程学院学报（自然科学版）》2008年第2期10-12,共3页Journal of Nanjing Institute of Technology(Natural Science Edition)

摘　　要：四元数矩阵的研究是矩阵理论和工程应用中的基本问题之一.本文研究了四元数体上矩阵的特征值的估计问题.给出了自共轭四元数矩阵特征值的最小最大值定理,得到了两个自共轭四元数矩阵的特征值之间的不等式.The research of quaternion matrix is one of the fundamental issues in matrix theory and engineering application. In this paper, the estimation regarding quaternion matrix eigenvalues was discussed. What were presented then were minimum and maximum theorems with regard to eigenvalues of self-conjugate quaternion matrix. Thus, inequalities of eigenvalue for self-conjugate quaternion matrices were worked out.

关 键 词：实四元数矩阵 特征值 不等式 

分 类 号：O241.6[理学—计算数学]