摘要
定义广义四元数共轭延拓矩阵的概念,利用矩阵分块和四元数矩阵的实表示方法,分别给出四元数矩阵方程AX=C和XB=D存在列共轭延拓解和行共轭延拓解的必要充分条件及解的表达式.
The conjugated extended quaternion matrix is defined in this paper.By introducing real representations of quaternion matrices,we give the necessary and sufficient conditions for the existence of column and row conjugated extended solutions to quaternion matrix equations AX = C and YB = C as well as the representations of such solutions,respectively,when the consistency conditions are met.
出处
《应用数学与计算数学学报》
2014年第4期440-448,共9页
Communication on Applied Mathematics and Computation
基金
国家自然科学基金资助项目(11171205)
贵州省科学技术基金资助项目(LKB[2013]11)
关键词
四元数矩阵
矩阵方程
共轭延拓矩阵
实表示
quaternion matrix
matrix equation
conjugated extended matrix
real representation
