摘要
利用四元数体上自共轭矩阵的奇异值分解,得到了实四元数矩阵方程X+AXB=C的最小二乘解的表达式,同时给出了在相应解集中矩阵方程的极小范数解.
By applying the singular value decomposition of self-conjugate matrices in the quatemion field, the least square solutions to is presented. In addition, the expression of minimum norm solution in the corresponding solution set to the given matrix is also derived.
出处
《巢湖学院学报》
2011年第6期18-19,共2页
Journal of Chaohu University
基金
合肥学院科研项目(10KY01ZR
10KY02ZR)
省教育厅自然科学一般项目(KJ2010B182)
关键词
四元数体
矩阵方程
最小二乘解
quaternion field
matrix equation
least square solution
