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

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometry of linear matrix inequalitiesby Tim Netzer, Daniel Plaumann.
Reminder of title:	a course in convexity and real algebraic geometry with a view towards optimization /
Author:	Netzer, Tim.
other author:	Plaumann, Daniel.
Published:	Cham :Springer International Publishing :2023.
Description:	viii, 161 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Matrix inequalities.
Online resource:	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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100 1 $a Netzer, Tim. $3 956321
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
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Compact textbooks in mathematics. $3 700241
856 4 0 $u https://doi.org/10.1007/978-3-031-26455-9
950 $a Mathematics and Statistics (SpringerNature-11649)

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