# An efficient method for solving a matrix least squares problem over a matrix inequality constraint

@article{Li2016AnEM,
title={An efficient method for solving a matrix least squares problem over a matrix inequality constraint},
author={Jiao-fen Li and Wen Li and Ru Huang},
journal={Computational Optimization and Applications},
year={2016},
volume={63},
pages={393-423}
}
In this paper, we consider solving a class of matrix inequality constrained matrix least squares problems of the form \begin{aligned} \begin{array}{rl} \text {min}&{}\dfrac{1}{2}\Vert \sum \limits _{i=1}^{t}A_iXB_i-C\Vert^2\\ \text {subject}\ \text {to}&{} L \le EXF\le U, \ \ X\in \mathcal {S}, \end{array} \end{aligned}min12‖∑i=1tAiXBi-C‖2subjecttoL≤EXF≤U,X∈S,where $$\Vert {\cdot } \Vert$$‖·‖ is the Frobenius norm, matrices A_i\in \mathbb {R}^{l\times m}, B_i\in \mathbb {R}^{n\times s… CONTINUE READING

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