Published December 2002 | public
Book Section - Chapter

Introducing SOSTOOLS: A General Purpose Sum of Squares Programming Solver

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Abstract

SOSTOOLS is a MATLAB toolbox for constructing and solving sum of squares programs. It can be used in combination with semidefinite programming software, such as SeDuMi, to solve many continuous and combinatorial optimization problems, as well as various control-related problems. The paper provides an overview on sum of squares programming, describes the primary features of SOSTOOLS, and shows how SOSTOOLS is used to solve sum of squares programs. Some applications from different areas are presented to show the wide applicability of sum of squares programming in general and SOSTOOLS in particular.

Additional Information

© 2002 IEEE. Issue Date: 10-13 Dec. 2002; Date of Current Version: 10 March 2003. Work of the first and second authors was supported by AFOSR MURI "Mathematical Infrastructure for Robust Virtual Engineering" and "Unified Theory for Complex Biological and Engineering Networks", NIH/NIGMS AfCS (Alliance for Cellular Signalling), DARPA "Enlightened multiscale simulation of biochemical networks", the Kitano ERATO Systems Biology Project, and URI "Protecting Infrastructures from Themselves.".

Additional details

Created:
August 19, 2023
Modified:
January 13, 2024