LMI Representations of Convex Semialgebraic Sets and Determinantal Representations of Algebraic Hypersurfaces: Past, Present, and Future

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Abstract

10 years ago or so Bill Helton introduced me to some mathematical problems arising from semidefinite programming. This paper is a partial account of what was and what is happening with one of these problems, including many open questions and some new results.
Original languageEnglish
Title of host publicationMathematical Methods in Systems, Optimization, and Control. Operator Theory
Subtitle of host publicationAdvances and Applications
Editors H. Dym, M. de Oliveira, M. Putinar
PublisherBirkhäuser Basel
Pages325-349
ISBN (Electronic)978-3-0348-0411-0
ISBN (Print)978-3-0348-0410-3
DOIs
StatePublished - 10 May 2012

Publication series

NameOperator Theory: Advances and Applications
Name
Volume222

Keywords

  • math.OC
  • Primary: 14M12, 90C22, Secondary: 14P10, 52A20

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