Two special kinds of least squares solutions for the quaternion matrix equation AXB+CXD=E
Two special kinds of least squares solutions for the quaternion matrix equation AXB+CXD=E
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DOI：
10.13001/1081-3810.1519
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发表时间：
2012
影响因子：
0.7
通讯作者：
Shifang Yuan;Qingwen Wang
中科院分区：
文献类型：
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作者：
Shifang Yuan;Qingwen Wang
利用四元数矩阵的复表示、矩阵的Moore-Penrose广义逆和Kronecker积，导出了四元数上矩阵方程AXB+CXD = E的最小范数最小二乘-Hermite解和最小范数最小二乘-反Hermite解的表达式.
By using the complex representation of quaternion matrices, the Moore-Penrose generalized inverse and the Kronecker product of matrices, the expressions of the least squares �-Hermitian solution with the least norm and the expressions of the least squares �-anti-Hermitian solution with the least norm are derived for the matrix equation AXB+CXD = E over quaternions.