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SOSTOOLS Version 4.00 Sum of Squares Optimization Toolbox for MATLAB by Papachristodoulou, Antonis; Anderson, James; Valmorbida, Giorgio; Prajna, Stephen; Seiler, Pete; Parrilo, Pablo; Peet, Matthew M.; Jagt, Declan is a scholarly article available to read on EtoBox.

What is SOSTOOLS Version 4.00 Sum of Squares Optimization Toolbox for MATLAB about?

The release of SOSTOOLS v4.00 comes as we approach the 20th anniversary of the original release of SOSTOOLS v1.00 back in April, 2002. SOSTOOLS was originally envisioned as a flexible tool for parsing and solving polynomial optimization problems, using the SOS tightening of polynomial positivity constraints, and capable of adapting to the ever-evolving fauna of applications of SOS. There are now a variety of SOS programming parsers beyond SOSTOOLS, including YALMIP, Gloptipoly, SumOfSquares, and others. We hope SOSTOOLS remains the most intuitive, robust and adaptable toolbox for SOS programming. Recent progress in Semidefinite programming has opened up new possibilities for solving large Sum of Squares programming problems, and we hope the next decade will be one where SOS methods will find wide application in different areas. In SOSTOOLS v4.00, we implement a parsing approach that reduces the computational and memory requirements of the parser below that of the SDP solver itself. We have re-developed the internal structure of our polynomial decision variables. Specifically, polynomial and SOS variable declarations made using sossosvar, sospolyvar, sosmatrixvar, etc now return a n

Author

Papachristodoulou, Antonis; Anderson, James; Valmorbida, Giorgio; Prajna, Stephen; Seiler, Pete; Parrilo, Pablo; Peet, Matthew M.; Jagt, Declan

Published

2013

Language

EN