Lower bounds on nonnegative rank via nonnegative nuclear norms

The nonnegative rank of an entrywise nonnegative matrix A ∈ R[m×n over +] is the smallest integer r such that A can be written as A = UV where U ∈ R[m×r over +] and V ∈ R[r×n over +] are both nonnegative. The nonnegative rank arises in different areas such as combinatorial optimization and communica...

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Bibliographic Details
Main Authors: Fawzi, Hamza, Parrilo, Pablo A.
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Springer-Verlag 2016
Online Access:http://hdl.handle.net/1721.1/100983
https://orcid.org/0000-0001-6026-4102
https://orcid.org/0000-0003-1132-8477