请问这个SDP问题里面的log项如何进行表达

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Google translate says:
It’s the formula behind P9 s.t., U is a positive semidefinite matrix and it’s an H matrix, I’m expressing it, but it doesn’t seem to take effect when solving cvx. I hope you can get the answer, please

I don’t know what you mean by " it doesn’t seem to take effect ". Nevertheless, I don’t know what the specification of the optimization problem is, I don’t understand the conventions, assumptions, notation, what’s complex as opposed to real, etc… Perhaps U is supposed to be hermitian semidefinite, but I don’t see that specified in the image. If U is also supposed to be an H matrix, I don’t know what than means, because H matrix doesn’t have a unique standardized meaning H-matrix - Wikipedia .

I have no idea what the 2nd box is supposed to show. Are all the terms with the ln actually in the problem (if so, the >= is going the wrong direction to be convex), or is that some majorization to use the top or bottom lines instead of all the ln terms.

U^{(t)} looks suspiciously like it is part of Successive Convex Approximation (SCA), in which case the overall algorithm might be unstable and unreliable, even if you correctly enter each convex optimization subproblem.