67
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Studying Non-negative Factorizations with Tools from Linear Algebra over a Semiring

Pages 4359-4366 | Received 09 Dec 2013, Published online: 06 Jul 2015

REFERENCES

  • Akian , M. , Gaubert , S. , Guterman , A. ( 2009 ). Linear independence over tropical semirings and beyond . Contemp. Math. 495 : 1 – 38 .
  • Beasley , L. B. , Laffey , T. J. ( 2009 ). Real rank versus nonnegative rank . Linear Algebra Appl. 431 : 2330 – 2335 .
  • Cohen , J. E. , Rothblum , U. G. ( 1993 ). Nonnegative ranks, decompositions, and factorizations of nonnegative matrices . Linear Algebra Appl. 190 : 149 – 168 .
  • Gillis , N. , Glineur , F. ( 2012 ). On the geometric interpretation of the nonnegative rank . Linear Algebra Appl. 437 : 2685 – 2712 .
  • Gouveia , J. , Parrilo , P. A. , Thomas , R. ( 2013 ). Lifts of convex sets and cone factorizations . Mathematics of Operations Research 38 ( 2 ): 248 – 264 .
  • Shitov , Ya. ( 2014 ). An upper bound for nonnegative rank . Journal of Combinatorial Theory, Series A 122 : 126 – 132 .
  • Communicated by V. A. Artamonov.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.