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The semidefinite matrix completion (SMC) problem is to recover a low-rank positive semidefinite matrix from a small subset of its entries. It is well known but NP-hard in general. We first show that under some cases, SMC problem and S1/2 relaxation model share a unique solution. Then we prove that the global optimal solutions of S1/2 regularization model are fixed points of a symmetric matrix half...
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