SOSOPT: A Toolbox for Polynomial Optimization
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Abstract (arXiv)
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 semidefinite programs (SDPs). It is the connection to SDPs that enables SOS optimizations to be solved in an efficient manner
Key facts. Cited by 3 papers in the map (data through 7 Oct 2026). First posted on arXiv 8 Aug 2013.
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Citing papers per year: 2022: 1; 2023: 0; 2024: 2.
3 papers.
- 2022Barrier Certified Safety Learning Control: When Sum-of-Square Programming Meets Reinforcement Learningcited by 0
- 2024A practical, fast method for solving sum-of-squares problems for very large polynomialscited by 0
- 2024Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Mapscited by 0
- 2024Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps17 Dec 2024
- 2024A practical, fast method for solving sum-of-squares problems for very large polynomials21 Oct 2024
- 2022Barrier Certified Safety Learning Control: When Sum-of-Square Programming Meets Reinforcement Learning16 Jun 2022