Least-squares solutions to the matrix equations AX = B and XC = D

@article{Yuan2010LeastsquaresST,
  title={Least-squares solutions to the matrix equations AX = B and XC = D},
  author={Yongxin Yuan},
  journal={Applied Mathematics and Computation},
  year={2010},
  volume={216},
  pages={3120-3125}
}
Abstract The least-squares solution and the least-squares symmetric solution with the minimum-norm of the matrix equations AX = B and XC = D are considered in this paper. By the matrix differentiation and the spectral decomposition of matrices, an explicit representation of such solution is given. 

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