摘要
讨论四元数体上右线性方程组AB=b的极小范数解、最小二乘解和极小范数最小二乘解,得到了类似于复数域上同类问题的若干结果。
In this paper,we discuss the solutions with minimal norms,the least square solutions and inparticular, the least square solutions with minimal norms to a right system of linear equation Ax = b in the quaternion field. Some main results are obtained, which can be considered as the correspondent conclusions for the similar questions in the case of the complex field.
出处
《许昌学院学报》
CAS
2003年第5期3-6,共4页
Journal of Xuchang University
基金
河南省"十五"教育科学规划课题(编号:2001-JKGHC-185)
关键词
四元数体
广义逆矩阵
极小范数解
最小二乘解
quaternion field
generalized inverse matrix
solution with minimal norm
least square solution
