摘要
利用四元数矩阵的复表示和友向量研究了四元数矩阵上的几种偏序关系;并讨论了四元数矩阵与其平方阵以及四元数矩阵与其任意方幂偏序间的关系,推广了以往文献的结果.
Some partial orderings over quaternion matrices are studied by using the compmex representation and companion vector. And the relationships between partial orderings of quaternion matrices and their powers are discussed. The existed results are extended.
出处
《聊城大学学报（自然科学版）》
2006年第3期13-16,41,共5页
Journal of Liaocheng University:Natural Science Edition
基金
山东省自然科学基金资助课题(2004ZX13)
关键词
星序
减序
Lowner-序
四元数EP矩阵
四元数自共轭矩阵
四元数半正定矩阵
star partial ordering,minus partial ordering, Lowner partial ordering,quaternion EP matrix,quaternion self-conjugate matrix,quaternion nonnegative definite matrix
