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Geometry of linear matrix inequalitiesa course in convexity and real algebraic geometry with a view towards optimization /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometry of linear matrix inequalitiesby Tim Netzer, Daniel Plaumann.
其他題名:	a course in convexity and real algebraic geometry with a view towards optimization /
作者:	Netzer, Tim.
其他作者:	Plaumann, Daniel.
出版者:	Cham :Springer International Publishing :2023.
面頁冊數:	viii, 161 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Matrix inequalities.
電子資源:	https://doi.org/10.1007/978-3-031-26455-9
ISBN:	9783031264559$q(electronic bk.)

Geometry of linear matrix inequalitiesa course in convexity and real algebraic geometry with a view towards optimization /
Netzer, Tim.

Geometry of linear matrix inequalitiesa course in convexity and real algebraic geometry with a view towards optimization /[electronic resource] :by Tim Netzer, Daniel Plaumann. - Cham :Springer International Publishing :2023. - viii, 161 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-455X. - Compact textbooks in mathematics..

This textbook provides a thorough introduction to spectrahedra, which are the solution sets to linear matrix inequalities, emerging in convex and polynomial optimization, analysis, combinatorics, and algebraic geometry. Including a wealth of examples and exercises, this textbook guides the reader in helping to determine the convex sets that can be represented and approximated as spectrahedra and their shadows (projections) Several general results obtained in the last 15 years by a variety of different methods are presented in the book, along with the necessary background from algebra and geometry.

ISBN: 9783031264559$q(electronic bk.)

Standard No.: 10.1007/978-3-031-26455-9doiSubjects--Topical Terms:

229142
Matrix inequalities.

LC Class. No.: QA188 / .N48 2023

Dewey Class. No.: 512.9434

Geometry of linear matrix inequalitiesa course in convexity and real algebraic geometry with a view towards optimization /
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245 1 0 $a Geometry of linear matrix inequalities $h [electronic resource] : $b a course in convexity and real algebraic geometry with a view towards optimization / $c by Tim Netzer, Daniel Plaumann.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhäuser, $c 2023.
300 $a viii, 161 p. : $b ill., digital ; $c 24 cm.
490 1 $a Compact textbooks in mathematics, $x 2296-455X
520 $a This textbook provides a thorough introduction to spectrahedra, which are the solution sets to linear matrix inequalities, emerging in convex and polynomial optimization, analysis, combinatorics, and algebraic geometry. Including a wealth of examples and exercises, this textbook guides the reader in helping to determine the convex sets that can be represented and approximated as spectrahedra and their shadows (projections) Several general results obtained in the last 15 years by a variety of different methods are presented in the book, along with the necessary background from algebra and geometry.
650 0 $a Matrix inequalities. $3 229142
650 0 $a Convex domains. $3 198918
650 1 4 $a Algebraic Geometry. $3 274807
650 2 4 $a Convex and Discrete Geometry. $3 277230
650 2 4 $a Optimization. $3 274084
700 1 $a Plaumann, Daniel. $3 956322
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830 0 $a Compact textbooks in mathematics. $3 700241
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