TY - JOUR
T1 - Optimal Approximate Solution of the Matrix Equation $AXB=C$ over Symmetric Matrices
JO - Journal of Computational Mathematics
VL - 5
SP - 543
EP - 552
PY - 2007
DA - 2007/10
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10347.html
KW - Least-squares solution, Optimal approximate solution, Generalized singular
value decomposition, Canonical correlation decomposition.
AB - Let $S_E$ denote the least-squares symmetric solution set of the matrix equation $AXB=C$, where $A$, $B$ and $C$ are given matrices of suitable size. To find the optimal approximate solution in the set $S_E$ to a given matrix, we give a new feasible method based on the projection theorem, the generalized SVD and the canonical correction decomposition.