摘要
利用四元数矩阵的广义奇异值分解,给出了下列四元数矩阵方程问题‖AXB-M‖2F+‖CXD-N‖2F=min解的一般表达式.
In this paper, the following problem is considered:Given A∈Q^(m×n), B∈Q^(p×q), M∈Q^(m×q), C∈Q^(l×n), D∈Q^(p×t), N∈Q^(l×t), find X∈Q^(n×p) such that‖AXB-M ‖~2_F+‖CXD-N‖~2_F=minBy applying the generalized singular value decomposition of quaternion matrices, the general solutions of above problem are obtained.
出处
《西南师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2004年第5期749-752,共4页
Journal of Southwest China Normal University(Natural Science Edition)
关键词
四元数矩阵方程
最小二乘解
广义奇异值分解
GSVD
generalized singular value decomposition
least-square solutions
quaternion matrix equation