Solving balanced Procrustes problem with some constraints by eigenvalue decomposition

@article{Qiu2010SolvingBP,
  title={Solving balanced Procrustes problem with some constraints by eigenvalue decomposition},
  author={Yuyang Qiu and Anding Wang},
  journal={J. Computational Applied Mathematics},
  year={2010},
  volume={233},
  pages={2916-2924}
}
The balanced Procrustes problem with some special constraints such as symmetric orthogonality and symmetric idempotence are considered. By one time eigenvalue decomposition of the matrix product generated by the matrices A and B, the constrained solutions are constructed simply. Similar strategy is applied to the problem with the corresponding P-commuting constraints with a given symmetric matrix P. Numerical examples are presented to show the efficiency of the proposed methods. 

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