株式会社極東書店トップ ＞ 商品一覧 ＞ Sum of Squares : Theory and Applications.
商品詳細
Sum of Squares : Theory and Applications.
・ISBN 978-1-4704-5025-0 paper US$ 118.00
￥27,647.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
お気に入り
★★★
| 著者・編者 | Parrilo, Pablo A. / Thomas, Rekha R. (eds.), |
|---|---|
| シリーズ | Proceedings of Symposia in Applied Mathematics |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2020 |
| ページ数 | 142 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-12322＞ |
解説
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.
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.