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MR2608896 (2011h:15026) 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 $X\sp r+\sum\sp m\sb {i=1}A\sp *\sb iX\sp {\delta\sb i}A\sb i=I$. Math. Comput. Modelling 51 (2010), no. 9-10, 1107–1117.
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