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 1126 articles , 2 standard articles )

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  1. Couellan, Nicolas; Jan, Sophie: Feature uncertainty bounds for explicit feature maps and large robust nonlinear SVM classifiers (2020)
  2. Laplagne, Santiago: Facial reduction for exact polynomial sum of squares decomposition (2020)
  3. Mohammad-Nezhad, Ali; Terlaky, Tamás: Parametric analysis of semidefinite optimization (2020)
  4. Nie, Jiawang; Yang, Liu; Zhong, Suhan: Stochastic polynomial optimization (2020)
  5. Sun, Defeng; Toh, Kim-Chuan; Yuan, Yancheng; Zhao, Xin-Yuan: SDPNAL+: A Matlab software for semidefinite programming with bound constraints (version 1.0) (2020)
  6. Zheng, Yang; Fantuzzi, Giovanni; Papachristodoulou, Antonis; Goulart, Paul; Wynn, Andrew: Chordal decomposition in operator-splitting methods for sparse semidefinite programs (2020)
  7. Adachi, Satoru; Nakatsukasa, Yuji: Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint (2019)
  8. Agulhari, Cristiano M.; Lacerda, Márcio J.: Observer-based state-feedback control design for LPV periodic discrete-time systems (2019)
  9. Ahmadi, Amir Ali; Majumdar, Anirudha: DSOS and SDSOS optimization: more tractable alternatives to sum of squares and semidefinite optimization (2019)
  10. Ahmadi, Mohamadreza; Valmorbida, Giorgio; Gayme, Dennice; Papachristodoulou, Antonis: A framework for input-output analysis of wall-bounded shear flows (2019)
  11. Beck, Amir; Guttmann-Beck, Nili: FOM -- a MATLAB toolbox of first-order methods for solving convex optimization problems (2019)
  12. Bomze, Immanuel M.; Cheng, Jianqiang; Dickinson, Peter J. C.; Lisser, Abdel; Liu, Jia: Notoriously hard (mixed-)binary QPs: empirical evidence on new completely positive approaches (2019)
  13. Briat, Corentin: Co-design of aperiodic sampled-data min-jumping rules for linear impulsive, switched impulsive and sampled-data systems (2019)
  14. Buchheim, Christoph; De Santis, Marianna: An active set algorithm for robust combinatorial optimization based on separation oracles (2019)
  15. Cafuta, Kristijan: Sums of Hermitian squares decomposition of non-commutative polynomials in non-symmetric variables using NCSOStools (2019)
  16. Campos, Juan S.; Misener, Ruth; Parpas, Panos: A multilevel analysis of the Lasserre hierarchy (2019)
  17. Canelas, Alfredo; Carrasco, Miguel; López, Julio: A feasible direction algorithm for nonlinear second-order cone programs (2019)
  18. 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)
  19. Chesi, Graziano; Shen, Tiantian: Designing parametric linear quadratic regulators for parametric LTI systems via LMIs (2019)
  20. 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)

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