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 989 articles , 2 standard articles )

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  1. Adachi, Satoru; Nakatsukasa, Yuji: Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint (2019)
  2. Ahmadi, Amir Ali; Majumdar, Anirudha: DSOS and SDSOS optimization: more tractable alternatives to sum of squares and semidefinite optimization (2019)
  3. Beck, Amir; Guttmann-Beck, Nili: FOM -- a MATLAB toolbox of first-order methods for solving convex optimization problems (2019)
  4. Cafuta, Kristijan: Sums of Hermitian squares decomposition of non-commutative polynomials in non-symmetric variables using NCSOStools (2019)
  5. Campos, Juan S.; Misener, Ruth; Parpas, Panos: A multilevel analysis of the Lasserre hierarchy (2019)
  6. Cui, Yiran; Morikuni, Keiichi; Tsuchiya, Takashi; Hayami, Ken: Implementation of interior-point methods for LP based on Krylov subspace iterative solvers with inner-iteration preconditioning (2019)
  7. Henrion, Didier; Naldi, Simone; Safey El Din, Mohab: SPECTRA -- a Maple library for solving linear matrix inequalities in exact arithmetic (2019)
  8. Li, Yang; Zhang, Hongbin: Stability, (L_1)-gain analysis and asynchronous (L_1)-gain control of uncertain discrete-time switched positive linear systems with dwell time (2019)
  9. Li, Yang; Zhang, Hongbin; Zhang, Liangliang: Equivalence of several stability conditions for switched linear systems with dwell time (2019)
  10. Menini, Laura; Possieri, Corrado; Tornambè, Antonio: A linear algebra method to decompose forms whose length is lower than the number of variables into weighted sum of squares (2019)
  11. Morato, Marcelo Menezes; Nguyen, Manh Quan; Sename, Olivier; Dugard, Luc: Design of a fast real-time \textitLPVmodel predictive control system for semi-active suspension control of a full vehicle (2019)
  12. Papp, Dávid; Yildiz, Sercan: Sum-of-squares optimization without semidefinite programming (2019)
  13. Agulhari, C. M.: Synthesis of controllers for finite-time stabilisation of LTV continuous-time systems using a discrete-time approach (2018)
  14. Al-Jiboory, Ali Khudhair; Zhu, Guoming: Static output-feedback robust gain-scheduling control with guaranteed (\mathcalH_2) performance (2018)
  15. Aßmann, Denis; Liers, Frauke; Stingl, Michael; Vera, Juan C.: Deciding robust feasibility and infeasibility using a set containment approach: an application to stationary passive gas network operations (2018)
  16. Augusta, Petr; Augustová, Petra: A fast numerical test of multivariate polynomial positiveness with applications. (2018)
  17. Bonami, Pierre; Günlük, Oktay; Linderoth, Jeff: Globally solving nonconvex quadratic programming problems with box constraints via integer programming methods (2018)
  18. Cerone, Vito; Razza, Valentino; Regruto, Diego: Set-membership errors-in-variables identification of MIMO linear systems (2018)
  19. Chanekar, Prasad Vilas; Chopra, Nikhil; Azarm, Shapour: Co-design of linear systems using generalized Benders decomposition (2018)
  20. Chen, Haibin; Chen, Yannan; Li, Guoyin; Qi, Liqun: A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test. (2018)

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