References: The maximun of i(XAX −1 +B)

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de Oliveira , G. N. 1990 . Invariant polynomials of sums of matrices . Linear and Multilinear Algebra , 27 : 285 – 288 .
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de Oliveira , G. N. , Marques de S′a , E. and Dias da Silva , J. A. 1977 . On the eigenvalues of the matrixXAX−1 +B . Linear and Multilinear Algebra , 5 : 119 – 128 .
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Silva , F. C. 1986 . On the number of invariant polynomials of the matrix XAX−1 +B . Linear Algebra Appl. , 79 : 1 – 21 .
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