Theory and Algorithms of Linear Matrix Inequalities

This web page highlights some of the conjectures and open problems concerning Theory and Algorithms of Linear Matrix Inequalities.

If you would like to print a hard copy of the whole outline, you can download a dvi, postscript or pdf version.

A list of participants is available.

Also available is Noncommutative Semialgebraic Geometry and Convexity vs LMI's by J William Helton, Scott McCullough, and Victor Vinnikov, as well as the paper On hermitian polynomial optimization by Mihai Putinar.

Also available is the paper Optimal Model Order Reduction for Finite Length Segments of LTI System Unit Sample Response by Alexandre Megretski.