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Think co(mpletely)positive ! Matrix properties, examples and a clustered bibliography on copositive optimization

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  • Immanuel Bomze

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  • Werner Schachinger
  • Gabriele Uchida

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Suggested Citation

  • Immanuel Bomze & Werner Schachinger & Gabriele Uchida, 2012. "Think co(mpletely)positive ! Matrix properties, examples and a clustered bibliography on copositive optimization," Journal of Global Optimization, Springer, vol. 52(3), pages 423-445, March.
  • Handle: RePEc:spr:jglopt:v:52:y:2012:i:3:p:423-445
    DOI: 10.1007/s10898-011-9749-3
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    References listed on IDEAS

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    1. de Klerk, E., 2006. "The Complexity of Optimizing over a Simplex, Hypercube or Sphere : A Short Survey," Discussion Paper 2006-85, Tilburg University, Center for Economic Research.
    2. Berry, Michael W. & Browne, Murray & Langville, Amy N. & Pauca, V. Paul & Plemmons, Robert J., 2007. "Algorithms and applications for approximate nonnegative matrix factorization," Computational Statistics & Data Analysis, Elsevier, vol. 52(1), pages 155-173, September.
    3. Richard Cottle, 2010. "A field guide to the matrix classes found in the literature of the linear complementarity problem," Journal of Global Optimization, Springer, vol. 46(4), pages 571-580, April.
    4. Etienne Klerk, 2008. "The complexity of optimizing over a simplex, hypercube or sphere: a short survey," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 16(2), pages 111-125, June.
    5. de Klerk, E., 2008. "The complexity of optimizing over a simplex, hypercube or sphere : A short survey," Other publications TiSEM 485b6860-cf1d-4cad-97b8-2, Tilburg University, School of Economics and Management.
    6. Dobre, C., 2011. "Semidefinite programming approaches for structured combinatorial optimization problems," Other publications TiSEM e1ec09bd-b024-4dec-acad-7, Tilburg University, School of Economics and Management.
    7. A. Pinto da Costa & A. Seeger, 2010. "Cone-constrained eigenvalue problems: theory and algorithms," Computational Optimization and Applications, Springer, vol. 45(1), pages 25-57, January.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. repec:spr:compst:v:78:y:2013:i:1:p:35-59 is not listed on IDEAS
    2. repec:spr:joptap:v:171:y:2016:i:3:d:10.1007_s10957-016-0997-8 is not listed on IDEAS
    3. Alexander Engau & Miguel Anjos & Immanuel Bomze, 2013. "Constraint selection in a build-up interior-point cutting-plane method for solving relaxations of the stable-set problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 78(1), pages 35-59, August.
    4. Peter Dickinson & Luuk Gijben, 2014. "On the computational complexity of membership problems for the completely positive cone and its dual," Computational Optimization and Applications, Springer, vol. 57(2), pages 403-415, March.
    5. Carmo Brás & Gabriele Eichfelder & Joaquim Júdice, 2016. "Copositivity tests based on the linear complementarity problem," Computational Optimization and Applications, Springer, vol. 63(2), pages 461-493, March.
    6. Carmo Brás & Gabriele Eichfelder & Joaquim Júdice, 2016. "Copositivity tests based on the linear complementarity problem," Computational Optimization and Applications, Springer, vol. 63(2), pages 461-493, March.
    7. repec:spr:joptap:v:159:y:2013:i:2:d:10.1007_s10957-013-0344-2 is not listed on IDEAS

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