SeDuMi

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 1150 articles , 2 standard articles )

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  1. Ariola, Marco; De Tommasi, Gianmaria; Mele, Adriano; Tartaglione, Gaetano: On the numerical solution of differential linear matrix inequalities (2020)
  2. Bruno, Hugo; Barros, Guilherme; Menezes, Ivan F. M.; Martha, Luiz Fernando: Return-mapping algorithms for associative isotropic hardening plasticity using conic optimization (2020)
  3. 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)
  4. Cheng, Lulu; Zhang, Xinzhen: A semidefinite relaxation method for second-order cone polynomial complementarity problems (2020)
  5. Couellan, Nicolas; Jan, Sophie: Feature uncertainty bounds for explicit feature maps and large robust nonlinear SVM classifiers (2020)
  6. 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)
  7. Kanno, Yoshihiro: Exploiting Lagrange duality for topology optimization with frictionless unilateral contact (2020)
  8. Koru, Ahmet Taha; Delibaşı, Akın; Özbay, Hitay: Dwell time-based stabilisation of switched linear delay systems using clock-dependent Lyapunov-Krasovskii functionals (2020)
  9. Laplagne, Santiago: Facial reduction for exact polynomial sum of squares decomposition (2020)
  10. Mohammad-Nezhad, Ali; Terlaky, Tamás: Parametric analysis of semidefinite optimization (2020)
  11. Nie, Jiawang; Yang, Liu; Zhong, Suhan: Stochastic polynomial optimization (2020)
  12. Sun, Defeng; Toh, Kim-Chuan; Yuan, Yancheng; Zhao, Xin-Yuan: SDPNAL+: A Matlab software for semidefinite programming with bound constraints (version 1.0) (2020)
  13. Wang, Xiao; Zhang, Xinzhen; Zhou, Guangming: SDP relaxation algorithms for (\mathbfP(P_0))-tensor detection (2020)
  14. Wang, Yulei; Gao, Jinwu; Li, Kai; Chen, Hong: Integrated design of control allocation and triple-step control for over-actuated electric ground vehicles with actuator faults (2020)
  15. Yang, Zhengfeng; Wu, Min; Lin, Wang: An efficient framework for barrier certificate generation of uncertain nonlinear hybrid systems (2020)
  16. Zhao, Ruixue; Fan, Jinyan: Higher-degree tensor eigenvalue complementarity problems (2020)
  17. Zheng, Yang; Fantuzzi, Giovanni; Papachristodoulou, Antonis; Goulart, Paul; Wynn, Andrew: Chordal decomposition in operator-splitting methods for sparse semidefinite programs (2020)
  18. Zhou, Guangming; Wang, Qin; Zhao, Wenjie: Saddle points of rational functions (2020)
  19. Adachi, Satoru; Nakatsukasa, Yuji: Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint (2019)
  20. Agulhari, Cristiano M.; Lacerda, Márcio J.: Observer-based state-feedback control design for LPV periodic discrete-time systems (2019)

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