# 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} }

- Published in Proceedings International Conference on…2011
DOI:10.1109/tmee.2011.6199538

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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