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 1225 articles , 2 standard articles )

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  1. Zhang, Yaling; Liu, Hongwei: A Barzilai and Borwein regularization feasible direction algorithm for convex nonlinear SOC programming with linear constraints (2022)
  2. Aguiar, Charles; Leite, Daniel; Pereira, Daniel; Andonovski, Goran; Škrjanc, Igor: Nonlinear modeling and robust LMI fuzzy control of overhead crane systems (2021)
  3. Cen, Xiaoli; Xia, Yong; Yang, Meijia: Semidefinite relaxation for the total least squares problem with Tikhonov-like regularization (2021)
  4. Cheng, Lulu; Zhang, Xinzhen; Ni, Guyan: A semidefinite relaxation method for second-order cone tensor eigenvalue complementarity problems (2021)
  5. Cheng, Sheng; Martins, Nuno C.: An optimality gap test for a semidefinite relaxation of a quadratic program with two quadratic constraints (2021)
  6. de Oliveira, Matheus Senna; Pereira, Renan Lima: On unknown input observers designs for discrete-time LPV systems with bounded rates of parameter variation (2021)
  7. Elloumi, Sourour; Lambert, Amélie; Lazare, Arnaud: Solving unconstrained 0-1 polynomial programs through quadratic convex reformulation (2021)
  8. Filbir, Frank; Krahmer, Felix; Melnyk, Oleh: On recovery guarantees for angular synchronization (2021)
  9. Garstka, Michael; Cannon, Mark; Goulart, Paul: COSMO: a conic operator splitting method for convex conic problems (2021)
  10. Guo, Feng; Jiao, Liguo: On solving a class of fractional semi-infinite polynomial programming problems (2021)
  11. Hashikura, Kotaro; Jaafar, Jad Musaddiq Bin; Kojima, Akira; Kamal, Md Abdus Samad; Yamada, Kou: LQ preview state feedback with output regulation constraint (2021)
  12. Hauenstein, Jonathan D.; Liddell, Alan C. jun.; McPherson, Sanesha; Zhang, Yi: Numerical algebraic geometry and semidefinite programming (2021)
  13. Henrion, Didier; Naldi, Simone; Safey El Din, Mohab: Exact algorithms for semidefinite programs with degenerate feasible set (2021)
  14. Hrga, Timotej; Povh, Janez: \textttMADAM: a parallel exact solver for max-cut based on semidefinite programming and ADMM (2021)
  15. Jennawasin, Tanagorn; Banjerdpongchai, David: Iterative LMI approach to robust static output feedback control of uncertain polynomial systems with bounded actuators (2021)
  16. Kim, Donghwan; Fessler, Jeffrey A.: Optimizing the efficiency of first-order methods for decreasing the gradient of smooth convex functions (2021)
  17. Korda, Milan; Henrion, Didier; Mezić, Igor: Convex computation of extremal invariant measures of nonlinear dynamical systems and Markov processes (2021)
  18. Kurdyukov, A. P.; Andrianova, O. G.; Belov, A. A.; Gol’din, D. A.: In between the (LQG/H_2)- and (H_\infty )-control theories (2021)
  19. Li, Wenyu; Hegde, Arun; Oreluk, James; Packard, Andrew; Frenklach, Michael: Representing model discrepancy in bound-to-bound data collaboration (2021)
  20. Lourenço, Bruno F.; Muramatsu, Masakazu; Tsuchiya, Takashi: Solving SDP completely with an interior point oracle (2021)

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