Geometry of linear matrix inequalities : a course in convexity and real algebraic geometry with a view towards optimization / Tim Netzer, Daniel Plaumann.
2023
QA188 .N48 2023
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Details
Title
Geometry of linear matrix inequalities : a course in convexity and real algebraic geometry with a view towards optimization / Tim Netzer, Daniel Plaumann.
Author
ISBN
9783031264559 (electronic bk.)
303126455X (electronic bk.)
3031264541
9783031264542
303126455X (electronic bk.)
3031264541
9783031264542
Published
Cham : Birkhauser, [2023]
Language
English
Description
1 online resource.
Item Number
10.1007/978-3-031-26455-9 doi
Call Number
QA188 .N48 2023
Dewey Decimal Classification
512.9/434
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Series
Compact textbooks in mathematics.
Available in Other Form
Print version: 9783031264542
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