How to deal with this problem including indefinite matrix ?

where V is indefinite. So the objective function is nonconvex and nonconcave.

The way to deal with is to not use CVX.

You can try using a global non-convex solver under YALMIP, such as Gurobi, BARON, or BMIBNB. Ir any for local, any non-convex QP solver, such as MATLANB Optimization Toolbox’s QUADPROG, or a general nonlinear solver.

I presume there are also some constraints, otherwise the problem will be unbounded.

You have been provided the following link several times. It is time for you to heed its advice.

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