Sum of Squares: Theory and Applications (Proceedings of Symposia in Applied Mathematics) - Softcover

Pablo A. Parrilo; Rekha R. Thomas

 
9781470450250: Sum of Squares: Theory and Applications (Proceedings of Symposia in Applied Mathematics)
Softcover
ISBN 10: 1470450259 ISBN 13: 9781470450250
Publisher: American Mathematical Society, 2020

Synopsis

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.

"synopsis" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2020
Language
English
ISBN 10 
1470450259
ISBN 13 
9781470450250
Binding
Paperback
Number of pages
142