This work focuses on the correction of both the coecient and the right hand side matrices of the inconsistent matrix equations $AX = B$ and $XC = D$ with orthogonal constraint. By optimal correction approach, a general representation of the orthogonal solution is obtained. This method is tested on two examples to show that the optimal correction is eective and highly accurate.
Ketabchi, S., Samadi, E., & Aminikhah, H. (2015). On the optimal correction of inconsistent matrix equations $AX = B$ and $XC = D$ with orthogonal constraint. Journal of Mathematical Modeling, 2(2), 132-142.
MLA
Saeed Ketabchi; Elham Samadi; Hossein Aminikhah. "On the optimal correction of inconsistent matrix equations $AX = B$ and $XC = D$ with orthogonal constraint". Journal of Mathematical Modeling, 2, 2, 2015, 132-142.
HARVARD
Ketabchi, S., Samadi, E., Aminikhah, H. (2015). 'On the optimal correction of inconsistent matrix equations $AX = B$ and $XC = D$ with orthogonal constraint', Journal of Mathematical Modeling, 2(2), pp. 132-142.
VANCOUVER
Ketabchi, S., Samadi, E., Aminikhah, H. On the optimal correction of inconsistent matrix equations $AX = B$ and $XC = D$ with orthogonal constraint. Journal of Mathematical Modeling, 2015; 2(2): 132-142.