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MR1217209 (94j:15012) 15A24 (15A48)
Engwerda, Jacob C.; Ran, André C. M.; Rijkeboer, Arie L. Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation $X+A\sp *X\sp {-1}A=Q$. Linear Algebra Appl. 186 (1993), 255–275.
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