# On the optimal correction of inconsistent matrix equations $AX = B$ and $XC = D$ with orthogonal constraint

Document Type : Research Article

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Abstract

This work focuses on the correction of both the coecient 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 e ective and highly accurate.