SOSOPT swMATH ID: 13407 Software Authors: Peter Seiler Description: SOSOPT: A Toolbox for Polynomial Optimization. SOSOPT is a Matlab toolbox for formulating and solving Sum-of-Squares (SOS) polynomial optimizations. This document briefly describes the use and functionality of this toolbox. Section 1 introduces the problem formulations for SOS tests, SOS feasibility problems, SOS optimizations, and generalized SOS problems. Section 2 reviews the SOSOPT toolbox for solving these optimizations. This section includes information on toolbox installation, formulating constraints, solving SOS optimizations, and setting optimization options. Finally, Section 3 briefly reviews the connections between SOS optimizations and semide?nite programs (SDPs). It is the connection to SDPs that enables SOS optimizations to be solved in an efficient manner Homepage: http://arxiv.org/abs/1308.1889 Dependencies: Matlab Related Software: Sostools; SeDuMi; YALMIP; CSDP; GitHub; MPT; PENBMI; SeDuMi Interface; ROLMIP; SDPA; SMRSOFT; Padua2D; Sparse-BSOS; SPOTless; SPOT; GpoSolver; Chebfun; GloptiPoly; SDPT3; Padua2DM Cited in: 13 Documents all top 5 Cited by 32 Authors 2 Jones, Colin Neil 2 Korda, Milan 1 Arcak, Murat 1 Bayat, Farhad 1 Briat, Corentin 1 Cunis, Torbjørn 1 Dai, Liyun 1 Ding, Zuohua 1 He, Jifeng 1 Henrion, Didier 1 Hooshmandi, Kaveh 1 Jahed-Motlagh, Mohammad Reza 1 Kolmanovsky, Ilya V. 1 Lessard, Laurent 1 Li, Meilun 1 Liu, Jing 1 Liu, Kairong 1 Meissen, Chris 1 Packard, Andrew Kelly 1 Papp, Dávid 1 Parrilo, Pablo A. 1 Permenter, Frank 1 Pfifer, Harald 1 Seiler, Peter J. 1 She, Zhikun 1 Sidorov, Eric 1 Sun, Haiying 1 Wang, Guobin 1 Xia, Bican 1 Yıldız, Sercan 1 Zacksenhouse, Miriam 1 Zhang, Miaomiao all top 5 Cited in 8 Serials 5 Automatica 2 International Journal of Control 1 SIAM Journal on Control and Optimization 1 Journal of Global Optimization 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Mathematical Problems in Engineering 1 Nonlinear Analysis. Hybrid Systems all top 5 Cited in 8 Fields 9 Systems theory; control (93-XX) 4 Operations research, mathematical programming (90-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year