How can I solve this error in order to implement the CVX toolbox?about zGz type

Nonconvex
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Everything about your problem, both the objective and the constraint, are highly non-convex.

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Expanding on @Michal_Adamaszek 's post:

You could consiider using YALMIP.

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Maybe you can relax this formula using SDP and then using the Dinkelbach algorithm to solve it?