SOStools: A Comprehensive Toolbox for Positive Polynomial and Sums of Squares Programming

SOStools serves as a specialized toolbox in the domain of positive polynomial programming (PP), particularly for Sums of Squares (SOS) optimization. Many Chinese researchers have adopted it as a primary tool in this field due to its comprehensive functionality. The toolbox provides essential features such as visualization tools for analyzing polynomial structures, efficient semidefinite programming solvers (e.g., SeDuMi, SDPT3 integration), and a user-friendly interface for formulating SOS constraints through symbolic polynomial declarations. Key functions include `sosprogram` for initializing optimization variables, `sosineq` for defining inequality constraints, and `sossolve` for deploying solver algorithms. Additionally, SOStools supports multiple languages including Chinese, contributing to its widespread adoption and recognition globally. Thus, SOStools stands as one of the most popular and reliable tools currently available in the PP domain.