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MR2325679 (2008h:65017) 65H10 (15A24)
Gao, Dong Jie; Zhang, Yu Hai Hermitian positive definite solutions of the matrix equation $X-A\sp *X\sp qA=Q\ (q>0)$. (Chinese) Math. Numer. Sin. 29 (2007), no. 1, 73–80.
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