how to write this in cvx?

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See my answer at Eigenvalue in cvx , and then put in the residual effort to handle this question.

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but i want to find x where G(X) is minimize

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`variable x(n)`

then form `G`

`minimize(lambda_max(G))`

That will constrain G to be psd.

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can you help me in writting G(x)?

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You need to form the matrix G(x) in CVX the same way you would if x were a MATLAB double precision vector. That is a matter of MATLAB syntax, not anything unique to CVX.

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