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; SDPA; SparsePOP; Mosek; QEPCAD; RSOLVER; SOSOPT; Macaulay2; SMRSOFT; CVX; CSDP; HSolver; DISCOVERER; REDLOG; SPOTless; PENBMI Cited in: 297 Publications all top 5 Cited by 511 Authors 12 Papachristodoulou, Antonis 10 Briat, Corentin 10 Parrilo, Pablo A. 9 Nie, Jiawang 8 She, Zhikun 7 Yang, Zhengfeng 6 Giesl, Peter 6 Hafstein, Sigurður Freyr 6 Kojima, Masakazu 6 Lasserre, Jean-Bernard 5 Kim, Sunyoung 5 Klep, Igor 5 Povh, Janez 5 Prajna, Stephen 5 Zhi, Lihong 4 Ahmadi, Mohamadreza 4 Demmel, James Weldon 4 Hetel, Laurentiu 4 Julius, A. Agung 4 Kawai, Reiichiro 4 Lam, Hing-kam 4 Lin, Wang 4 Nguang, Sing Kiong 4 Richard, Jean-Pierre 4 Safey El Din, Mohab 4 Valmórbida, Giórgio 4 Waki, Hayato 4 Xia, Bican 4 Xue, Bai 4 Zamani, Majid 3 Abate, Alessandro 3 Aghdam, Amir G. 3 Ahmadi, Amir Ali 3 Angeli, David 3 August, Elias 3 Bernal, Miguel Angel 3 Cafuta, Kristijan 3 Chaabane, Mohamed 3 Cheng, Chih-Yung 3 Coogan, Samuel 3 de Wolff, Timo 3 El Hajjaji, Ahmed 3 Gassara, Hamdi 3 Heemels, W. P. Maurice H. 3 Henrion, Didier 3 Huang, Yu-Chia 3 Kashima, Kenji 3 Lall, Sanjay 3 Li, Bin 3 Moreno, Jaime A. 3 Muramatsu, Masakazu 3 Papp, Dávid 3 Peet, Matthew M. 3 Possieri, Corrado 3 Saat, Shakir 3 Sanchez, Tonametl 3 Schweighofer, Markus 3 Sturmfels, Bernd 3 Tabuada, Paulo 3 Yu, Gwo-Ruey 3 Zeng, Zhenbing 3 Zhan, Naijun 3 Zheng, Zhiming 2 Aangenent, Wouter H. T. M. 2 Allgower, Frank 2 Barahona, Mauricio 2 Behrends, Sönke 2 Bhattacharya, Raktim 2 Bleylevens, Ivo W. M. 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 Everett, Hazel 2 Fantuzzi, Giovanni 2 Feeley, Ryan 2 Fiter, Christophe 2 Fridman, Leonid M. 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. 2 Laurent, Monique 2 Lavaei, Javad 2 Lazard, Daniel 2 Lazard, Sylvain 2 Le, Thanh Hieu 2 Ma, Hongjun ...and 411 more Authors all top 5 Cited in 88 Serials 36 Automatica 14 Systems & Control Letters 13 Mathematical Programming. Series A. Series B 11 International Journal of Control 11 SIAM Journal on Optimization 10 International Journal of Robust and Nonlinear Control 10 Nonlinear Analysis. Hybrid Systems 9 Journal of the Franklin Institute 8 Journal of Symbolic Computation 6 Journal of Global Optimization 5 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Pure and Applied Algebra 4 SIAM Journal on Control and Optimization 4 Mathematical Problems in Engineering 4 European Journal of Control 4 SIAM Journal on Applied Dynamical Systems 4 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 ACM Transactions on Mathematical Software 3 Applied Mathematics and Computation 3 Fuzzy Sets and Systems 3 Information Sciences 3 Journal of Computational and Applied Mathematics 3 Journal of Optimization Theory and Applications 3 Computational Optimization and Applications 3 Complexity 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 Circuits, Systems, and Signal Processing 2 SIAM Journal on Matrix Analysis and Applications 2 Discrete Event Dynamic Systems 2 Numerical Algorithms 2 Formal Methods in System Design 2 Nonlinear Dynamics 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 Optimal Control Applications & 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 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 SIAM Review 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 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 all top 5 Cited in 34 Fields 162 Systems theory; control (93-XX) 112 Operations research, mathematical programming (90-XX) 41 Computer science (68-XX) 38 Numerical analysis (65-XX) 30 Algebraic geometry (14-XX) 22 Commutative algebra (13-XX) 22 Ordinary differential equations (34-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Biology and other natural sciences (92-XX) 11 Field theory and polynomials (12-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Probability theory and stochastic processes (60-XX) 7 Number theory (11-XX) 7 Convex and discrete geometry (52-XX) 5 Information and communication theory, circuits (94-XX) 4 General algebraic systems (08-XX) 4 Real functions (26-XX) 4 Operator theory (47-XX) 3 Mathematical logic and foundations (03-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-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 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year