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MR2608896 15A24 (15B48 47A62)
Sarhan, A. M.; El-Shazly, Naglaa M.; Shehata, Enas M. On the existence of extremal positive definite solutions of the nonlinear matrix equation $X^r+\sum^m_{i=1}A^*_iX^{\delta_i}A_i=I$. Math. Comput. Modelling 51 (2010), no. 9-10, 1107–1117.
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