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

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


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About the Book

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.

Table of Contents:
G. 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.

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


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Product Details
  • ISBN-13: 9781470450250
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Height: 254 mm
  • No of Pages: 142
  • Sub Title: Theory and Applications
  • Width: 178 mm
  • ISBN-10: 1470450259
  • Publisher Date: 30 Sep 2020
  • Binding: Paperback
  • Language: English
  • Series Title: Proceedings of Symposia in Applied Mathematics
  • Weight: 283 gr


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