我应该如何实现下面这个目标函数 (Moderator's summary of topic: Perspective function of log determinant in the objective function)

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Feb 6, 2025
O


这是一个对数行列式的透视函数,应该是一个凹函数,但是我尝试了很久,不知道应该如何进行实现。

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See the examples in Perspective of log det function, and CVX formulations of related log det problems using Quantum Relative Entropy from CVXQUAD, which make use of quantum_rel_entr, which is in CVXQUAD GitHub - hfawzi/cvxquad: Implementation in MATLAB-based CVX of various convex/concave functions of matrices (matrix geometric means, quantum relative entropy, ...) .

You don’t need to use CVXQUAD’s exponential.m replacement in order to use CVXQUAD’s quantum_rel_entr.