Rank-one matrix completion is solved by the sum-of-squares relaxation of order two

This note studies the problem of nonsymmetric rank-one matrix completion. We show that in every instance where the problem has a unique solution, one can recover the original matrix through the second round of the sum-of-squares/Lasserre hierarchy with minimization of the trace of the moments matrix...

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Bibliographic Details
Main Authors: Cosse, Augustin, Demanet, Laurent
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2017
Online Access:http://hdl.handle.net/1721.1/110289
https://orcid.org/0000-0001-7052-5097