摘要
对四元数可中心化矩阵可分解为两个自共轭矩阵乘积(且其中有一个是非奇异矩阵)问题的结果进行了推广,给出了四元数矩阵可分解为两个自共轭矩阵乘积(其中有一个是非奇异矩阵)的一个充分条件,同时得到了一些有用的结果.
It is well known that a centrabilizable quaternion matrix can be factorized into tow self-conjugate matrices, one of which is an inverse matrix. In this paper, we extended this result and get a sufficient condition under which a quaternion matrix can be written as a product of two self-conjugate matrices, one of which is inverse.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第4期413-414,共2页
Journal of Sichuan Normal University（Natural Science）
关键词
四元数体
矩阵分解
自共轭矩阵
Quaternion field
Matrix factioning
Self-conjugate matrix
