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摘要
The - minimization over the positive semidefinite cone is the semidefinite least squares problem with Schatten -quasi () norm regularization term. It has wide applications in many areas including compressed sensing, control, statistics, signal and image processing, etc. In this paper, by developing the symmetric matrix -thresholding operator representation theory, we establish the necessary condition for global optimal solutions of - minimization, and also provide the exact lower bound for the positive eigenvalues at global optimal solutions.
