SeDuMi is a Matlab toolbox for solving optimization problems over symmetric cones, i.e. it allows not only for linear constraints, but also quasiconvex-quadratic constraints and positive semi-definiteness constraints. Complex valued entries are allowed. Features include symbolic and numerical reordering schemes, balancing speed/accuracy performance and sophisticated dense column handling, using the Goldfarb-Scheinberg product form idea.

References in zbMATH (referenced in 742 articles , 2 standard articles )

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  1. Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan: A robust Lagrangian-DNN method for a class of quadratic optimization problems (2017)
  2. Claeys, Mathieu; Henrion, Didier; Kružík, Martin: Semi-definite relaxations for optimal control problems with oscillation and concentration effects (2017)
  3. Fan, Jinyan; Zhou, Anwa: A semidefinite algorithm for completely positive tensor decomposition (2017)
  4. Harman, Radoslav; Benková, Eva: Barycentric algorithm for computing D-optimal size- and cost-constrained designs of experiments (2017)
  5. Korda, Milan; Jones, Colin N.: Stability and performance verification of optimization-based controllers (2017)
  6. Lu, Cheng; Deng, Zhibin; Jin, Qingwei: An eigenvalue decomposition based branch-and-bound algorithm for nonconvex quadratic programming problems with convex quadratic constraints (2017)
  7. Mohammad-Nezhad, Ali; Terlaky, Tamás: A polynomial primal-dual affine scaling algorithm for symmetric conic optimization (2017)
  8. Pirhaji, M.; Mansouri, H.; Zangiabadi, M.: An $O(\sqrt nL)$ wide neighborhood interior-point algorithm for semidefinite optimization (2017)
  9. Salahi, Maziar; Taati, Akram; Wolkowicz, Henry: Local nonglobal minima for solving large-scale extended trust-region subproblems (2017)
  10. Taylor, Adrien B.; Hendrickx, Julien M.; Glineur, François: Smooth strongly convex interpolation and exact worst-case performance of first-order methods (2017)
  11. Ahmadi, Amir Ali; Jungers, Raphaël M.: Lower bounds on complexity of Lyapunov functions for switched linear systems (2016)
  12. Ahmadi, Amir Ali; Majumdar, Anirudha: Some applications of polynomial optimization in operations research and real-time decision making (2016)
  13. Aşici, Emel; Karaçal, Funda: Incomparability with respect to the triangular order. (2016)
  14. Benavoli, Alessio; Piga, Dario: A probabilistic interpretation of set-membership filtering: application to polynomial systems through polytopic bounding (2016)
  15. Briat, Corentin: Stability analysis and stabilization of stochastic linear impulsive, switched and sampled-data systems under dwell-time constraints (2016)
  16. Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard: Minimizing the sum of many rational functions (2016)
  17. Bunin, Gene A.: Extended reverse-convex programming: an approximate enumeration approach to global optimization (2016)
  18. Chen, Caihua; Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan: A semismooth Newton-CG based dual PPA for matrix spectral norm approximation problems (2016)
  19. Cheng, Jianqiang; Leung, Janny; Lisser, Abdel: New reformulations of distributionally robust shortest path problem (2016)
  20. Cheng, Jianqiang; Leung, Janny; Lisser, Abdel: Random-payoff two-person zero-sum game with joint chance constraints (2016)

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