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 1191 articles , 2 standard articles )

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  1. Aguiar, Charles; Leite, Daniel; Pereira, Daniel; Andonovski, Goran; Škrjanc, Igor: Nonlinear modeling and robust LMI fuzzy control of overhead crane systems (2021)
  2. Cen, Xiaoli; Xia, Yong; Yang, Meijia: Semidefinite relaxation for the total least squares problem with Tikhonov-like regularization (2021)
  3. Cheng, Sheng; Martins, Nuno C.: An optimality gap test for a semidefinite relaxation of a quadratic program with two quadratic constraints (2021)
  4. de Oliveira, Matheus Senna; Pereira, Renan Lima: On unknown input observers designs for discrete-time LPV systems with bounded rates of parameter variation (2021)
  5. Hashikura, Kotaro; Jaafar, Jad Musaddiq Bin; Kojima, Akira; Kamal, Md Abdus Samad; Yamada, Kou: LQ preview state feedback with output regulation constraint (2021)
  6. Henrion, Didier; Naldi, Simone; Safey El Din, Mohab: Exact algorithms for semidefinite programs with degenerate feasible set (2021)
  7. Naldi, Simone; Sinn, Rainer: Conic programming: infeasibility certificates and projective geometry (2021)
  8. Polyak, B. T.; Khlebnikov, M. V.; Shcherbakov, P. S.: Linear matrix inequalities in control systems with uncertainty (2021)
  9. Waki, Hayato; Ebihara, Yoshio; Sebe, Noboru: Reduction of SISO H-infinity output feedback control problem (2021)
  10. Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard: Chordal-TSSOS: a moment-SOS hierarchy that exploits term sparsity with chordal extension (2021)
  11. Wang, Jie; Magron, Victor; Lasserre, Jean-Bernard: TSSOS: a moment-SOS hierarchy that exploits term sparsity (2021)
  12. 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)
  13. Ariola, Marco; De Tommasi, Gianmaria; Mele, Adriano; Tartaglione, Gaetano: On the numerical solution of differential linear matrix inequalities (2020)
  14. Behrends, Sönke; Schöbel, Anita: Generating valid linear inequalities for nonlinear programs via sums of squares (2020)
  15. Briat, C.: Stability and (L_1 \times\ell_1)-to-(L_1 \times\ell_1) performance analysis of uncertain impulsive linear positive systems with applications to the interval observation of impulsive and switched systems with constant delays (2020)
  16. Bruno, Hugo; Barros, Guilherme; Menezes, Ivan F. M.; Martha, Luiz Fernando: Return-mapping algorithms for associative isotropic hardening plasticity using conic optimization (2020)
  17. 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)
  18. Cen, Xiaoli; Xia, Yong: Globally maximizing the sum of squares of quadratic forms over the unit sphere (2020)
  19. Cerone, Vito; Razza, Valentino; Regruto, Diego: One-shot set-membership identification of generalized Hammerstein-Wiener systems (2020)
  20. Cheng, Lulu; Zhang, Xinzhen: A semidefinite relaxation method for second-order cone polynomial complementarity problems (2020)

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