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