TY - JOUR
T1 - Least-squares mirrorsymmetric solution for matrix equations (<em>AX=B, XC=D</em>)
AU - F. Li, X. Hu & L. Zhang
JO - Numerical Mathematics, a Journal of Chinese Universities
VL - 3
SP - 217
EP - 226
PY - 2006
DA - 2006/08
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/nm/8029.html
KW - 
AB - 
In this paper, least-squares mirrorsymmetric solution for
matrix equations ($AX=B$, $XC=D$)
and its optimal approximation is considered. With special
expression of mirrorsymmetric matrices,
a general representation of solution for the least-squares problem is obtained.
In addition, the optimal approximate solution and some algorithms
to obtain the optimal  approximation are provided.