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Squared functional systems and optimization problems

Citations

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Cited by:

  1. DEVOLDER, Olivier & GLINEUR, François & NESTEROV, Yurii, 2010. "Solving infinite-dimensional optimization problems by polynomial approximation," LIDAM Discussion Papers CORE 2010029, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Zhi Chen & Melvyn Sim & Huan Xu, 2019. "Distributionally Robust Optimization with Infinitely Constrained Ambiguity Sets," Operations Research, INFORMS, vol. 67(5), pages 1328-1344, September.
  3. Farid Alizadeh & David Papp, 2013. "Estimating arrival rate of nonhomogeneous Poisson processes with semidefinite programming," Annals of Operations Research, Springer, vol. 208(1), pages 291-308, September.
  4. Yanıkoğlu, İhsan & Gorissen, Bram L. & den Hertog, Dick, 2019. "A survey of adjustable robust optimization," European Journal of Operational Research, Elsevier, vol. 277(3), pages 799-813.
  5. Ivanov, I.D. & de Klerk, E., 2007. "Parallel Implementation of a Semidefinite Programming Solver based on CSDP in a distributed memory cluster," Other publications TiSEM 9b41ff5e-2808-4d12-a58c-0, Tilburg University, School of Economics and Management.
  6. Jos F. Sturm & Shuzhong Zhang, 2003. "On Cones of Nonnegative Quadratic Functions," Mathematics of Operations Research, INFORMS, vol. 28(2), pages 246-267, May.
  7. Wang, Wei & Xu, Huifu & Ma, Tiejun, 2023. "Optimal scenario-dependent multivariate shortfall risk measure and its application in risk capital allocation," European Journal of Operational Research, Elsevier, vol. 306(1), pages 322-347.
  8. Thomas A. Weber, 2017. "Optimal switching between cash-flow streams," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 86(3), pages 567-600, December.
  9. Roland Hildebrand, 2022. "Semi-definite Representations for Sets of Cubics on the Two-dimensional Sphere," Journal of Optimization Theory and Applications, Springer, vol. 195(2), pages 666-675, November.
  10. Luo, Z-Q & Sturm, J.F. & Zhang, S., 2003. "Multivariate Nonnegative Quadratic Mappings," Other publications TiSEM 77619783-0422-424b-8dc7-2, Tilburg University, School of Economics and Management.
  11. Kato, Naohiro & Kuriki, Satoshi, 2013. "Likelihood ratio tests for positivity in polynomial regressions," Journal of Multivariate Analysis, Elsevier, vol. 115(C), pages 334-346.
  12. Liyun Dai & Bican Xia, 2015. "Smaller SDP for SOS decomposition," Journal of Global Optimization, Springer, vol. 63(2), pages 343-361, October.
  13. Meng-Meng Zheng & Zheng-Hai Huang & Sheng-Long Hu, 2022. "Unconstrained minimization of block-circulant polynomials via semidefinite program in third-order tensor space," Journal of Global Optimization, Springer, vol. 84(2), pages 415-440, October.
  14. Farid Alizadeh & Jonathan Eckstein & Nilay Noyan & Gábor Rudolf, 2008. "Arrival Rate Approximation by Nonnegative Cubic Splines," Operations Research, INFORMS, vol. 56(1), pages 140-156, February.
  15. Wong, Man Hong & Zhang, Shuzhong, 2013. "Computing best bounds for nonlinear risk measures with partial information," Insurance: Mathematics and Economics, Elsevier, vol. 52(2), pages 204-212.
  16. Jibetean, D. & de Klerk, E., 2006. "Global optimization of rational functions : A semidefinite programming approach," Other publications TiSEM 25febbc3-cd0c-4eb7-9d37-d, Tilburg University, School of Economics and Management.
  17. Monique Laurent, 2003. "A Comparison of the Sherali-Adams, Lovász-Schrijver, and Lasserre Relaxations for 0--1 Programming," Mathematics of Operations Research, INFORMS, vol. 28(3), pages 470-496, August.
  18. Monique Laurent, 2003. "Lower Bound for the Number of Iterations in Semidefinite Hierarchies for the Cut Polytope," Mathematics of Operations Research, INFORMS, vol. 28(4), pages 871-883, November.
  19. Karthik Natarajan & Dongjian Shi & Kim-Chuan Toh, 2014. "A Probabilistic Model for Minmax Regret in Combinatorial Optimization," Operations Research, INFORMS, vol. 62(1), pages 160-181, February.
  20. Sturm, J.F. & Zhang, S., 2001. "On Cones of Nonnegative Quadratic Functions," Discussion Paper 2001-26, Tilburg University, Center for Economic Research.
  21. Luo, Z-Q & Sturm, J.F. & Zhang, S., 2003. "Multivariate Nonnegative Quadratic Mappings," Discussion Paper 2003-7, Tilburg University, Center for Economic Research.
  22. Jenny Carolina Saldana Cortés, 2011. "Programación semidefinida aplicada a problemas de cantidad económica de pedido," Documentos CEDE 8735, Universidad de los Andes, Facultad de Economía, CEDE.
  23. Karthik Natarajan & Chung Piaw Teo & Zhichao Zheng, 2011. "Mixed 0-1 Linear Programs Under Objective Uncertainty: A Completely Positive Representation," Operations Research, INFORMS, vol. 59(3), pages 713-728, June.
  24. Napat Rujeerapaiboon & Daniel Kuhn & Wolfram Wiesemann, 2018. "Chebyshev Inequalities for Products of Random Variables," Mathematics of Operations Research, INFORMS, vol. 43(3), pages 887-918, August.
  25. Siem, A.Y.D. & de Klerk, E. & den Hertog, D., 2005. "Discrete Least-norm Approximation by Nonnegative (Trigonomtric) Polynomials and Rational Functions," Discussion Paper 2005-73, Tilburg University, Center for Economic Research.
  26. Siem, A.Y.D. & de Klerk, E. & den Hertog, D., 2005. "Discrete Least-norm Approximation by Nonnegative (Trigonomtric) Polynomials and Rational Functions," Other publications TiSEM 43a1152a-8130-4e42-851b-e, Tilburg University, School of Economics and Management.
  27. Ivanov, I.D. & de Klerk, E., 2007. "Parallel Implementation of a Semidefinite Programming Solver based on CSDP in a distributed memory cluster," Discussion Paper 2007-20, Tilburg University, Center for Economic Research.
  28. Wu, Zhiyou & Tian, Jing & Quan, Jing & Ugon, Julien, 2014. "Optimality conditions and optimization methods for quartic polynomial optimization," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 968-982.
  29. de Klerk, E. & Elfadul, G.E.E. & den Hertog, D., 2006. "Optimization of Univariate Functions on Bounded Intervals by Interpolation and Semidefinite Programming," Other publications TiSEM 224cf14f-b76a-4803-a57d-3, Tilburg University, School of Economics and Management.
  30. Sönke Behrends & Ruth Hübner & Anita Schöbel, 2018. "Norm bounds and underestimators for unconstrained polynomial integer minimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 87(1), pages 73-107, February.
  31. de Klerk, E. & Elfadul, G.E.E. & den Hertog, D., 2006. "Optimization of Univariate Functions on Bounded Intervals by Interpolation and Semidefinite Programming," Discussion Paper 2006-26, Tilburg University, Center for Economic Research.
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