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 718 articles , 2 standard articles )

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  1. Taylor, Adrien B.; Hendrickx, Julien M.; Glineur, François: Smooth strongly convex interpolation and exact worst-case performance of first-order methods (2017)
  2. Ahmadi, Amir Ali; Jungers, Raphaël M.: Lower bounds on complexity of Lyapunov functions for switched linear systems (2016)
  3. Ahmadi, Amir Ali; Majumdar, Anirudha: Some applications of polynomial optimization in operations research and real-time decision making (2016)
  4. Aşici, Emel; Karaçal, Funda: Incomparability with respect to the triangular order. (2016)
  5. Benavoli, Alessio; Piga, Dario: A probabilistic interpretation of set-membership filtering: application to polynomial systems through polytopic bounding (2016)
  6. Bugarin, Florian; Henrion, Didier; Lasserre, Jean Bernard: Minimizing the sum of many rational functions (2016)
  7. Bunin, Gene A.: Extended reverse-convex programming: an approximate enumeration approach to global optimization (2016)
  8. Chen, Caihua; Liu, Yong-Jin; Sun, Defeng; Toh, Kim-Chuan: A semismooth Newton-CG based dual PPA for matrix spectral norm approximation problems (2016)
  9. Chen, Yannan; Qi, Liqun; Wang, Qun: Positive semi-definiteness and sum-of-squares property of fourth order four dimensional Hankel tensors (2016)
  10. Chesi, Graziano; Middleton, Richard H.: Robust stability and performance analysis of 2D mixed continuous-discrete-time systems with uncertainty (2016)
  11. Collier, Olivier; Dalalyan, Arnak S.: Minimax rates in permutation estimation for feature matching (2016)
  12. Dalkiran, Evrim; Sherali, Hanif D.: RLT-POS: reformulation-linearization technique-based optimization software for solving polynomial programming problems (2016)
  13. de Klerk, Etienne: Book review of: J.-B. Lasserre, An introduction to polynomial and semi-algebraic optimization (2016)
  14. Fan, Jinyan; Zhou, Anwa: The CP-matrix approximation problem (2016)
  15. Fan, Jinyan; Zhou, Anwa: Computing the distance between the linear matrix pencil and the completely positive cone (2016)
  16. Fantuzzi, G.; Goluskin, D.; Huang, D.; Chernyshenko, S.I.: Bounds for deterministic and stochastic dynamical systems using sum-of-squares optimization (2016)
  17. Friberg, Henrik A.: CBLIB 2014: a benchmark library for conic mixed-integer and continuous optimization (2016)
  18. Grimstad, Bjarne; Sandnes, Anders: Global optimization with spline constraints: a new branch-and-bound method based on B-splines (2016)
  19. Hassanabadi, Amir Hossein; Shafiee, Masoud; Puig, Vicenc: UIO design for singular delayed LPV systems with application to actuator fault detection and isolation (2016)
  20. Hu, Jianghai; Shen, Jinglai; Putta, Vamsi: Generalized input-to-state $\ell_2$-gains of discrete-time switched linear control systems (2016)

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