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 1136 articles , 2 standard articles )

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  1. Cafuta, Kristijan: Sums of Hermitian squares decomposition of non-commutative polynomials in non-symmetric variables using NCSOStools (2019)
  2. Campos, Juan S.; Misener, Ruth; Parpas, Panos: A multilevel analysis of the Lasserre hierarchy (2019)
  3. Canelas, Alfredo; Carrasco, Miguel; López, Julio: A feasible direction algorithm for nonlinear second-order cone programs (2019)
  4. Cherifi, Abdelmadjid; Guelton, Kevin; Arcese, Laurent; Leite, Valter J. S.: Global non-quadratic (\mathcalD)-stabilization of Takagi-Sugeno systems with piecewise continuous membership functions (2019)
  5. Chesi, Graziano; Shen, Tiantian: Designing parametric linear quadratic regulators for parametric LTI systems via LMIs (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. Dickinson, Peter J. C.; Povh, Janez: A new approximation hierarchy for polynomial conic optimization (2019)
  8. Forbes, James Richard: Synthesis of strictly positive real (\mathcalH_2) controllers using dilated LMIs (2019)
  9. Gronski, Jessica; Ben Sassi, Mohamed-Amin; Becker, Stephen; Sankaranarayanan, Sriram: Template polyhedra and bilinear optimization (2019)
  10. Halická, Margaréta; Trnovská, Mária: Duality and profit efficiency for the hyperbolic measure model (2019)
  11. Holicki, Tobias; Scherer, Carsten W.: Stability analysis and output-feedback synthesis of hybrid systems affected by piecewise constant parameters via dynamic resetting scalings (2019)
  12. Hu, Shenglong: An elementary proof for the exact relaxation for rank one moment matrices in multi-polynomial SOS relaxation (2019)
  13. Hu, Shenglong; Sun, Defeng; Toh, Kim-Chuan: Best nonnegative rank-one approximations of tensors (2019)
  14. Iannelli, Andrea; Marcos, Andrés; Lowenberg, Mark: Robust estimations of the region of attraction using invariant sets (2019)
  15. Ito, Naoki; Kim, Sunyoung; Kojima, Masakazu; Takeda, Akiko; Toh, Kim-Chuan: Algorithm 996: BBCPOP: a sparse doubly nonnegative relaxation of polynomial optimization problems with binary, box, and complementarity constraints (2019)
  16. Jiang, Yan; Zhai, Junyong: Observer-based stabilization of sector-bounded nonlinear stochastic systems in the presence of intermittent measurements (2019)
  17. Kian, Ramez; Berk, Emre; Gürler, Ülkü: Minimal conic quadratic reformulations and an optimization model (2019)
  18. Kimizuka, Masaki; Kim, Sunyoung; Yamashita, Makoto: Solving pooling problems with time discretization by LP and SOCP relaxations and rescheduling methods (2019)
  19. Komeiji, Hikaru; Kim, Sunyoung; Yamashita, Makoto: On the conditions for the finite termination of ADMM and its applications to SOS polynomials feasibility problems (2019)
  20. Kuang, Xiaolong; Ghaddar, Bissan; Naoum-Sawaya, Joe; Zuluaga, Luis F.: Alternative SDP and SOCP approximations for polynomial optimization (2019)

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