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On the positive definite solution of the nonlinear matrix equation X^p=A+M^T(X#B)M – Jie Meng (Pusan National University)

The nonlinear matrix equation X^p = A + M^T (X # B)M is considered, where p ≥ 1 is a positive integer, M is an n × n nonsingular matrix, A is a positive semidefinite matrix and B is a positive definite matrix. We call C # D the geometric mean of…

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