Overview

This volume is based on lectures delivered at the 2019 AMS Short Course """"Sum of Squares: Theory and Applications'', held January 14-15, 2019, in Baltimore, Maryland. This book provides a concise state-of-the-art overview of the theory and applications of polynomials that are sums of squares. This is an exciting and timely topic, with rich connections to many areas of mathematics, including polynomial and semidefinite optimization, real and convex algebraic geometry, and theoretical computer science. The six chapters introduce and survey recent developments in this area; specific topics include the algebraic and geometric aspects of sums of squares and spectrahedra, lifted representations of convex sets, and the algorithmic and computational implications of viewing sums of squares as a meta algorithm. The book also showcases practical applications of the techniques across a variety of areas, including control theory, statistics, finance and machine learning.

Full Product Details

9781470450250

Table of Contents

Reviews

Author Information

Pablo A. Parrilo, Massachusetts Institute of Technology, Cambridge, MA Rekha R. Thomas, University of Washington, Seattle, WA

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available