分裂四元数矩阵的满秩分解及应用  

Full Rank Decomposition of Split Quaternion Matrix and Its Application

作　　者：武秀美 WU Xiumei(School of Mathematics and Statistics, Heze University, Heze 274015, Shandong, China)

机构地区：[1]菏泽学院数学与统计学院,山东菏泽274015

出　　处：《江汉大学学报（自然科学版）》2018年第4期314-319,共6页Journal of Jianghan University：Natural Science Edition

摘　　要：利用分裂四元数矩阵的复表示研究了分裂四元数矩阵满秩分解的代数方法。把广义逆的概念推广到分裂四元数矩阵代数上,最后利用广义逆研究了分裂四元数线性方程组解的问题。In this article,the algebraic method of full rank decomposition of split quaternion matrix was studied by means of complex representation of split quaternion matrix. This paper extended the concept of generalized inverse to split quaternion matrix algebra and finally studied the solution of split quaternion linear equation by generalized inverse.

关 键 词：分裂四元数 分裂四元数矩阵 复表示 满秩分解 广义逆 

分 类 号：O151[理学—数学]