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Sostools

swMATH ID: 891
Software Authors: Prajna, Stephen; Papachristodoulou, Antonis; Seiler, Peter; Parrilo, Pablo A.
Description: We are pleased to introduce SOSTOOLS, a free MATLAB toolbox for formulating and solving sums of squares (SOS) optimization programs. SOSTOOLS can be used to specify and solve sum of squares polynomial problems using a very simple, flexible, and intuitive high-level notation. Currently, the SOS programs are solved using SeDuMi or SDPT3, both well-known semidefinite programming solver, with SOSTOOLS handling internally all the necessary reformulations and data conversion.
Homepage: http://www.cds.caltech.edu/sostools/
Dependencies: Matlab
Related Software: SeDuMi; YALMIP; GloptiPoly; Matlab; SDPT3; Mosek; SDPA; SparsePOP; QEPCAD; RSOLVER; SOSOPT; SMRSOFT; HSolver; CVX; CSDP; Macaulay2; Benchmarks; SPOTless; GitHub; PENBMI
Cited in: 325 Documents
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Cited by 562 Authors

13 Papachristodoulou, Antonis
11 She, Zhikun
10 Briat, Corentin
10 Parrilo, Pablo A.
9 Nie, Jiawang
7 Giesl, Peter
7 Hafstein, Sigurður Freyr
7 Yang, Zhengfeng
6 Kojima, Masakazu
5 El Hajjaji, Ahmed
5 Gassara, Hamdi
5 Kim, Sunyoung
5 Klep, Igor
5 Lam, Hing-kam
5 Lasserre, Jean-Bernard
5 Povh, Janez
5 Prajna, Stephen
5 Wu, Min
5 Xue, Bai
5 Zhi, Lihong
4 Abate, Alessandro
4 Ahmadi, Amir Ali
4 Ahmadi, Mohamadreza
4 August, Elias
4 Demmel, James Weldon
4 Hetel, Laurentiu
4 Julius, A. Agung
4 Kawai, Reiichiro
4 Lin, Wang
4 Nguang, Sing Kiong
4 Peet, Matthew M.
4 Richard, Jean-Pierre
4 Safey El Din, Mohab
4 Valmórbida, Giórgio
4 Waki, Hayato
4 Xia, Bican
4 Zamani, Majid
4 Zhan, Naijun
3 Aghdam, Amir G.
3 Angeli, David
3 Barahona, Mauricio
3 Bernal, Miguel Angel
3 Cafuta, Kristijan
3 Chaabane, Mohamed
3 Cheng, Chih-Yung
3 Coogan, Samuel
3 de Wolff, Timo
3 Fridman, Leonid M.
3 Heemels, W. P. Maurice H.
3 Henrion, Didier
3 Huang, Yu-Chia
3 Kashima, Kenji
3 Lall, Sanjay
3 Li, Bin
3 Liu, Kairong
3 Moreno, Jaime A.
3 Muramatsu, Masakazu
3 Papp, Dávid
3 Possieri, Corrado
3 Rodrigues, Luis
3 Saat, Shakir
3 Sanchez, Tonametl
3 Schweighofer, Markus
3 Sturmfels, Bernd
3 Tabuada, Paulo
3 Yu, Gwo-Ruey
3 Zeng, Jianping
3 Zeng, Zhenbing
3 Zheng, Zhiming
2 Aangenent, Wouter H. T. M.
2 Allgower, Frank
2 Behrends, Sönke
2 Bhattacharya, Raktim
2 Bleylevens, Ivo W. M.
2 Chen, Mingshuai
2 Chen, Xiangyong
2 Chernyshenko, Sergei I.
2 Chesi, Graziano
2 Dai, Liyun
2 de Klerk, Etienne
2 Duggirala, Parasara Sridhar
2 Dumitrescu, Bogdan Alexandru
2 Efimov, Denis V.
2 El Khadir, Bachir
2 Everett, Hazel
2 Fantuzzi, Giovanni
2 Feeley, Ryan
2 Fiter, Christophe
2 Gatermann, Karin
2 Girard, Antoine
2 Goldfarb, Donald
2 Goulart, Paul J.
2 Greuet, Aurélien
2 Guerra, Thierry Marie
2 Helton, John William
2 Hsu, Daniel
2 Huang, Deqing
2 Iliman, Sadik
2 Jiang, Xin
2 Kaltofen, Erich L.
...and 462 more Authors
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Cited in 91 Serials

38 Automatica
16 International Journal of Robust and Nonlinear Control
14 Systems & Control Letters
13 International Journal of Control
13 Mathematical Programming. Series A. Series B
11 SIAM Journal on Optimization
11 Nonlinear Analysis. Hybrid Systems
9 Journal of the Franklin Institute
8 Journal of Symbolic Computation
6 Journal of Global Optimization
6 Discrete and Continuous Dynamical Systems. Series B
5 Mathematical Problems in Engineering
5 International Journal of Systems Science. Principles and Applications of Systems and Integration
4 Fuzzy Sets and Systems
4 Journal of Pure and Applied Algebra
4 SIAM Journal on Control and Optimization
4 European Journal of Control
4 SIAM Journal on Applied Dynamical Systems
4 Journal of Computational Dynamics
3 ACM Transactions on Mathematical Software
3 Applied Mathematics and Computation
3 Information Sciences
3 Journal of Computational and Applied Mathematics
3 Journal of Optimization Theory and Applications
3 Circuits, Systems, and Signal Processing
3 Computational Optimization and Applications
3 Complexity
3 Nonlinear Dynamics
2 International Journal of Systems Science
2 Journal of Fluid Mechanics
2 Journal of Mathematical Analysis and Applications
2 Proceedings of the American Mathematical Society
2 Theoretical Computer Science
2 Optimal Control Applications & Methods
2 SIAM Journal on Matrix Analysis and Applications
2 Discrete Event Dynamic Systems
2 Numerical Algorithms
2 SIAM Review
2 Formal Methods in System Design
2 Abstract and Applied Analysis
2 Optimization Methods & Software
2 Optimization and Engineering
2 Mathematics in Computer Science
2 Optimization Letters
2 Asian Journal of Control
2 Journal of Theoretical Biology
1 Journal of Mathematical Biology
1 Nonlinearity
1 Physics Letters. A
1 Mathematics of Computation
1 IEEE Transactions on Automatic Control
1 Journal of Statistical Planning and Inference
1 Mathematics of Operations Research
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Bulletin of the Korean Mathematical Society
1 Physica D
1 Applied Numerical Mathematics
1 Journal of Systems Science and Mathematical Sciences
1 Journal of Complexity
1 Discrete & Computational Geometry
1 Information and Computation
1 International Journal of Adaptive Control and Signal Processing
1 Games and Economic Behavior
1 Applied Mathematical Modelling
1 European Journal of Operational Research
1 Pattern Recognition
1 Celestial Mechanics and Dynamical Astronomy
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 SIAM Journal on Scientific Computing
1 International Journal of Computer Vision
1 Computational and Applied Mathematics
1 Soft Computing
1 Mathematical Methods of Operations Research
1 Chaos
1 European Journal of Mechanics. A. Solids
1 Foundations of Computational Mathematics
1 Journal of Systems Science and Complexity
1 Quantum Information Processing
1 North American Actuarial Journal
1 Acta Numerica
1 Lecture Notes in Control and Information Sciences
1 Advances in Mathematical Physics
1 Mathematical Programming Computation
1 Science China. Information Sciences
1 Imperial College Press Optimization Series
1 Croatian Operational Research Review (CRORR)
1 Frontiers of Computer Science
1 Research in the Mathematical Sciences
1 CBMS Regional Conference Series in Mathematics
1 Signals and Communication Technology
1 Cambridge Texts in Applied Mathematics
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Cited in 36 Fields

183 Systems theory; control (93-XX)
119 Operations research, mathematical programming (90-XX)
46 Computer science (68-XX)
39 Numerical analysis (65-XX)
31 Algebraic geometry (14-XX)
27 Ordinary differential equations (34-XX)
22 Commutative algebra (13-XX)
18 Dynamical systems and ergodic theory (37-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
15 Biology and other natural sciences (92-XX)
11 Field theory and polynomials (12-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Probability theory and stochastic processes (60-XX)
7 Number theory (11-XX)
7 Convex and discrete geometry (52-XX)
7 Information and communication theory, circuits (94-XX)
4 General algebraic systems (08-XX)
4 Real functions (26-XX)
4 Operator theory (47-XX)
4 Mechanics of particles and systems (70-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Mathematical logic and foundations (03-XX)
3 Difference and functional equations (39-XX)
3 Statistics (62-XX)
3 Fluid mechanics (76-XX)
2 Combinatorics (05-XX)
2 Partial differential equations (35-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geometry (51-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 General and overarching topics; collections (00-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Functional analysis (46-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)

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