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 1168 articles , 2 standard articles )

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  1. Akuamoah, Saviour Worlanyo; Seadawy, Aly R.: Application of direct extended modified algebraic method of Bogoyavlenskii equation on lower and upper bounds in managing and optimizing queues (2020)
  2. Ariola, Marco; De Tommasi, Gianmaria; Mele, Adriano; Tartaglione, Gaetano: On the numerical solution of differential linear matrix inequalities (2020)
  3. Behrends, Sönke; Schöbel, Anita: Generating valid linear inequalities for nonlinear programs via sums of squares (2020)
  4. Bruno, Hugo; Barros, Guilherme; Menezes, Ivan F. M.; Martha, Luiz Fernando: Return-mapping algorithms for associative isotropic hardening plasticity using conic optimization (2020)
  5. Carniato, Leonardo Ataide; Carniato, Alexandre Ataide; Teixeira, Marcelo Carvalho Minhoto; Cardim, Rodrigo; Mainardi, Edson Italo Jr.; Assunção, Edvaldo: Output control of continuous-time uncertain switched linear systems via switched static output feedback (2020)
  6. Cerone, Vito; Razza, Valentino; Regruto, Diego: One-shot set-membership identification of generalized Hammerstein-Wiener systems (2020)
  7. Cheng, Lulu; Zhang, Xinzhen: A semidefinite relaxation method for second-order cone polynomial complementarity problems (2020)
  8. Couellan, Nicolas; Jan, Sophie: Feature uncertainty bounds for explicit feature maps and large robust nonlinear SVM classifiers (2020)
  9. de Klerk, Etienne; Kuhn, Daniel; Postek, Krzysztof: Distributionally robust optimization with polynomial densities: theory, models and algorithms (2020)
  10. Eltved, Anders; Dahl, Joachim; Andersen, Martin S.: On the robustness and scalability of semidefinite relaxation for optimal power flow problems (2020)
  11. Gu, Guoyong; Yang, Junfeng: Tight sublinear convergence rate of the proximal point algorithm for maximal monotone inclusion problems (2020)
  12. Jarre, Florian; Lieder, Felix; Liu, Ya-Feng; Lu, Cheng: Set-completely-positive representations and cuts for the max-cut polytope and the unit modulus lifting (2020)
  13. Kanno, Yoshihiro: Exploiting Lagrange duality for topology optimization with frictionless unilateral contact (2020)
  14. Köhler, Johannes; Müller, Matthias A.; Allgöwer, Frank: A nonlinear tracking model predictive control scheme for dynamic target signals (2020)
  15. Koru, Ahmet Taha; Delibaşı, Akın; Özbay, Hitay: Dwell time-based stabilisation of switched linear delay systems using clock-dependent Lyapunov-Krasovskii functionals (2020)
  16. Laplagne, Santiago: Facial reduction for exact polynomial sum of squares decomposition (2020)
  17. Lasserre, Jean B.; Magron, Victor: Computing the Hausdorff boundary measure of semialgebraic sets (2020)
  18. Mohammad-Nezhad, Ali; Terlaky, Tamás: Parametric analysis of semidefinite optimization (2020)
  19. Nie, Jiawang; Yang, Liu; Zhong, Suhan: Stochastic polynomial optimization (2020)
  20. Permenter, Frank; Parrilo, Pablo A.: Dimension reduction for semidefinite programs via Jordan algebras (2020)

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