Free Delivery Over $100
|
|
|||
|
||||
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 DetailsAuthor: Pablo A. Parrilo , Rekha R. ThomasPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.283kg ISBN: 9781470450250ISBN 10: 1470450259 Pages: 142 Publication Date: 30 September 2020 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsG. Blekherman, A brief introduction to sums of squares. C. Vinzant, The geometry of spectrahedra. H. Fawzi, Lifts of convex sets. M. Velasco, Algebraic geometry and sums of squares. A. Moitra, Sums of squares in theoretical computer science. G. Hall, Applications of sums of squares. P. A. Parrilo and R. R. Thomas, Index.ReviewsAuthor InformationPablo A. Parrilo, Massachusetts Institute of Technology, Cambridge, MA Rekha R. Thomas, University of Washington, Seattle, WA Tab Content 6Author Website:Countries AvailableAll regions |
||||
