Anti-symmetric solutions of a class of linear matrix equations

In this paper we presented an iterative method to find the anti-symmetric solutions of the matrix equations. A
1
X + XB
1
= C
1
, A
2
X + XB
2
= C
2
. 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.