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Lower Bounds on Matrix Factorization Ranks via Noncommutative Polynomial Optimization

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  • Gribling, Sander
  • Laat, David de
  • Laurent, Monique

    (Tilburg University, School of Economics and Management)

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  • Gribling, Sander & Laat, David de & Laurent, Monique, 2017. "Lower Bounds on Matrix Factorization Ranks via Noncommutative Polynomial Optimization," Other publications TiSEM 2dddf156-3d4b-4936-bf02-a, Tilburg University, School of Economics and Management.
    • Handle: RePEc:tiu:tiutis:2dddf156-3d4b-4936-bf02-aa84f3cc4463
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    File URL: https://pure.uvt.nl/ws/portalfiles/portal/20222486/1708.01573v2.pdf
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    References listed on IDEAS

    as
    1. João Gouveia & Pablo A. Parrilo & Rekha R. Thomas, 2013. "Lifts of Convex Sets and Cone Factorizations," Mathematics of Operations Research, INFORMS, vol. 38(2), pages 248-264, May.
    2. GILLIS, Nicolas & GLINEUR, François, 2010. "On the geometric interpretation of the nonnegative rank," LIDAM Discussion Papers CORE 2010051, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    3. Gábor Braun & Samuel Fiorini & Sebastian Pokutta & David Steurer, 2015. "Approximation Limits of Linear Programs (Beyond Hierarchies)," Mathematics of Operations Research, INFORMS, vol. 40(3), pages 756-772, March.
    4. Burgdorf, S. & Laurent, Monique & Piovesan, Teresa, 2017. "On the closure of the completely positive semidefinite cone and linear approximations to quantum colorings," Other publications TiSEM fabb1d61-6395-4123-9174-b, Tilburg University, School of Economics and Management.
    5. Miguel Navascués & Stefano Pironio & Antonio Acín, 2012. "SDP Relaxations for Non-Commutative Polynomial Optimization," International Series in Operations Research & Management Science, in: Miguel F. Anjos & Jean B. Lasserre (ed.), Handbook on Semidefinite, Conic and Polynomial Optimization, chapter 0, pages 601-634, Springer.
    6. Laurent, M., 2009. "Sums of squares, moment matrices and optimization over polynomials," Other publications TiSEM 9fef820b-69d2-43f2-a501-e, Tilburg University, School of Economics and Management.
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