A,M,X is n by n matrix, M is reversible ,When A is quasisub-Hermite matrix by M , This paper considers the solution of a matrix equation X AX =A in complex number field, and gives the general expression of the solutions, where X= M-1XsM, Xs is conjugate subtransposed matrix of X.%A，M，x为n阶矩阵，M可逆，当A为由M确定的拟次Hermite矩阵时，讨论复数域上矩阵方程X AX=A的求解问题，给出了解的表达式，其中X＝M－1XsM，为X的共轭次转置矩阵。
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