A New Algorithm for Positive Semidefinite Matrix Completion

Autor: Fangfang Xu, Peng Pan
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Journal of Applied Mathematics, Vol 2016 (2016)
Druh dokumentu: article
ISSN: 1110-757X
1687-0042
DOI: 10.1155/2016/1659019
Popis: Positive semidefinite matrix completion (PSDMC) aims to recover positive semidefinite and low-rank matrices from a subset of entries of a matrix. It is widely applicable in many fields, such as statistic analysis and system control. This task can be conducted by solving the nuclear norm regularized linear least squares model with positive semidefinite constraints. We apply the widely used alternating direction method of multipliers to solve the model and get a novel algorithm. The applicability and efficiency of the new algorithm are demonstrated in numerical experiments. Recovery results show that our algorithm is helpful.
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