The Resource Semidefinite optimization and convex algebraic geometry, edited by Grigoriy Blekherman, Pablo A. Parrilo, Rekha R. Thomas, (electronic resource)
Semidefinite optimization and convex algebraic geometry, edited by Grigoriy Blekherman, Pablo A. Parrilo, Rekha R. Thomas, (electronic resource)
 Summary
 This book provides a selfcontained, accessible introduction to the mathematical advances and challenges resulting from the use of semidefinite programming in polynomial optimization. This quickly evolving research area with contributions from the diverse fields of convex geometry, algebraic geometry, and optimization is known as convex algebraic geometry. Each chapter addresses a fundamental aspect of convex algebraic geometry. The book begins with an introduction to nonnegative polynomials and sums of squares and their connections to semidefinite programming and quickly advances to several areas at the forefront of current research. These include semidefinite representability of convex sets, duality theory from the point of view of algebraic geometry, and nontraditional topics such as sums of squares of complex forms and noncommutative sums of squares polynomials
 Language
 eng
 Extent
 1 electronic text (xix, 471 p.)
 Contents

 1. What is convex algebraic geometry?
 2. Semidefinite optimization
 3. Polynomial optimization, sums of squares, and applications
 4. Nonnegative polynomials and sums of squares
 5. Dualities
 6. Semidefinite representability
 7. Convex hulls of algebraic sets
 8. Free convexity
 9. Sums of Hermitian squares. Old and new
 Appendix A. Background material
 Index
 Isbn
 9781611972290
 Label
 Semidefinite optimization and convex algebraic geometry
 Title
 Semidefinite optimization and convex algebraic geometry
 Statement of responsibility
 edited by Grigoriy Blekherman, Pablo A. Parrilo, Rekha R. Thomas
 Language
 eng
 Summary
 This book provides a selfcontained, accessible introduction to the mathematical advances and challenges resulting from the use of semidefinite programming in polynomial optimization. This quickly evolving research area with contributions from the diverse fields of convex geometry, algebraic geometry, and optimization is known as convex algebraic geometry. Each chapter addresses a fundamental aspect of convex algebraic geometry. The book begins with an introduction to nonnegative polynomials and sums of squares and their connections to semidefinite programming and quickly advances to several areas at the forefront of current research. These include semidefinite representability of convex sets, duality theory from the point of view of algebraic geometry, and nontraditional topics such as sums of squares of complex forms and noncommutative sums of squares polynomials
 Additional physical form
 Also available in print version.
 Cataloging source
 CaBNVSL
 Index
 index present
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 MOSSIAM series on optimization
 Target audience
 adult
 Label
 Semidefinite optimization and convex algebraic geometry, edited by Grigoriy Blekherman, Pablo A. Parrilo, Rekha R. Thomas, (electronic resource)
 Bibliography note
 Includes bibliographical references and index
 Color
 black and white
 Contents
 1. What is convex algebraic geometry?  2. Semidefinite optimization  3. Polynomial optimization, sums of squares, and applications  4. Nonnegative polynomials and sums of squares  5. Dualities  6. Semidefinite representability  7. Convex hulls of algebraic sets  8. Free convexity  9. Sums of Hermitian squares. Old and new  Appendix A. Background material  Index
 http://library.link/vocab/cover_art
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 Dimensions
 unknown
 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b3556118'}
 Extent
 1 electronic text (xix, 471 p.)
 File format
 multiple file formats
 Form of item
 online
 Governing access note
 Restricted to subscribers or individual electronic text purchasers
 Isbn
 9781611972290
 Isbn Type
 (electronic bk.)
 Other physical details
 digital file.
 Publisher number
 MO13
 Reformatting quality
 access
 Specific material designation
 remote
 System details

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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/Semidefiniteoptimizationandconvexalgebraic/rewKMew65A/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/Semidefiniteoptimizationandconvexalgebraic/rewKMew65A/">Semidefinite optimization and convex algebraic geometry, edited by Grigoriy Blekherman, Pablo A. Parrilo, Rekha R. Thomas, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>