IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-70566-8_30.html
   My bibliography  Save this book chapter

Some Recent Developments in Spectrahedral Computation

In: Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory

Author

Listed:
  • Thorsten Theobald

    (FB 12 – Institut für Mathematik, Goethe-Universität)

Abstract

Spectrahedra are the feasible sets of semidefinite programming and provide a central link between real algebraic geometry and convex optimization. In this expository paper, we review some recent developments on effective methods for handling spectrahedra. In particular, we consider the algorithmic problems of deciding emptiness of spectrahedra, boundedness of spectrahedra as well as the question of containment of a spectrahedron in another one. These problems can profitably be approached by combinations of methods from real algebra and optimization.

Suggested Citation

  • Thorsten Theobald, 2017. "Some Recent Developments in Spectrahedral Computation," Springer Books, in: Gebhard Böckle & Wolfram Decker & Gunter Malle (ed.), Algorithmic and Experimental Methods in Algebra, Geometry, and Number Theory, pages 717-739, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-70566-8_30
    DOI: 10.1007/978-3-319-70566-8_30
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-319-70566-8_30. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.