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can i find a solution for the following matrix function

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nerella

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{trace(F M F(herm))}/{trace(F N F(herm))}

F, M,N are square matrices of same order. M and N are known matrices.
M is a positive definite matrix. N is a symmetric matrix.
F is unknown matrix.
(herm) stands for hermitian transpose


now it is required to find a solution for F , such that the above mentioned mathematical expression will be maximised.

if there is any optimal solution for the above..please post it here or mail to premkiran_2002@yahoo.co.in
thank you for your time to go through my message
 

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