Anti-symmetric solutions of a class of linear matrix equations

@article{Mei2011AntisymmetricSO,
  title={Anti-symmetric solutions of a class of linear matrix equations},
  author={Cao Mei},
  journal={Proceedings 2011 International Conference on Transportation, Mechanical, and Electrical Engineering (TMEE)},
  year={2011},
  pages={1697-1700}
}
In this paper we presented an iterative method to find the anti-symmetric solutions of the matrix equations. A<inf>1</inf>X + XB<inf>1</inf> = C<inf>1</inf>, A<inf>2</inf>X + XB<inf>2</inf> = C<inf>2</inf>. If a special initial matrix is chosen, the anti-symmetric solution with least norm can be obtained. Finally an example is given to illustrate the efficiency of this iterative method. 

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