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 868 articles , 2 standard articles )

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  1. Chen, Haibin; Huang, Zheng-Hai; Qi, Liqun: Copositive tensor detection and its applications in physics and hypergraphs (2018)
  2. Duarte, Belmiro P. M.; Wong, Weng Kee; Dette, Holger: Adaptive grid semidefinite programming for finding optimal designs (2018)
  3. Kim, Donghwan; Fessler, Jeffrey A.: Another look at the fast iterative shrinkage/thresholding algorithm (FISTA) (2018)
  4. Lu, Cheng; Deng, Zhibin; Zhang, Wei-Qiang; Fang, Shu-Cherng: Argument division based branch-and-bound algorithm for unit-modulus constrained complex quadratic programming (2018)
  5. Nayak, Rupaj Kumar; Biswal, Mahendra Prasad: A low complexity semidefinite relaxation for large-scale MIMO detection (2018)
  6. Ahmadi, Mohamadreza; Valmorbida, Giorgio; Papachristodoulou, Antonis: Safety verification for distributed parameter systems using barrier functionals (2017)
  7. Amir Ali Ahmadi, Anirudha Majumdar: DSOS and SDSOS Optimization: More Tractable Alternatives to Sum of Squares and Semidefinite Optimization (2017) arXiv
  8. Arima, Naohiko; Kim, Sunyoung; Kojima, Masakazu; Toh, Kim-Chuan: A robust Lagrangian-DNN method for a class of quadratic optimization problems (2017)
  9. Berg, Jeremias; Järvisalo, Matti: Cost-optimal constrained correlation clustering via weighted partial maximum satisfiability (2017)
  10. Billionnet, Alain; Elloumi, Sourour; Lambert, Amélie; Wiegele, Angelika: Using a conic bundle method to accelerate both phases of a quadratic convex reformulation (2017)
  11. Briat, Corentin: Dwell-time stability and stabilization conditions for linear positive impulsive and switched systems (2017)
  12. Canelas, Alfredo; Carrasco, Miguel; López, Julio: Application of the sequential parametric convex approximation method to the design of robust trusses (2017)
  13. Claeys, Mathieu; Henrion, Didier; Kružík, Martin: Semi-definite relaxations for optimal control problems with oscillation and concentration effects (2017)
  14. Dabbene, Fabrizio; Henrion, Didier; Lagoa, Constantino M.: Simple approximations of semialgebraic sets and their applications to control (2017)
  15. Dumitrescu, Bogdan: Positive trigonometric polynomials and signal processing applications (2017)
  16. Etienne, Lucien; Hetel, Laurentiu; Efimov, Denis; Petreczky, Mihaly: Observer synthesis under time-varying sampling for Lipschitz nonlinear systems (2017)
  17. Fan, Jinyan; Zhou, Anwa: A semidefinite algorithm for completely positive tensor decomposition (2017)
  18. Faulwasser, Timm; Korda, Milan; Jones, Colin N.; Bonvin, Dominique: On turnpike and dissipativity properties of continuous-time optimal control problems (2017)
  19. Fendl, Hannes; Neumaier, Arnold; Schichl, Hermann: Certificates of infeasibility via nonsmooth optimization (2017)
  20. Fritz, Tobias; Netzer, Tim; Thom, Andreas: Spectrahedral containment and operator systems with finite-dimensional realization (2017)

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