IDEAS home Printed from https://ideas.repec.org/a/spr/mathme/v47y1998i2p221-241.html
   My bibliography  Save this article

A catalog of minimally nonideal matrices

Author

Listed:
  • Christine Lütolf
  • François Margot

Abstract

This paper describes a backtracking algorithm for the enumeration of nonisomorphic minimally nonideal (n ×n) matrices that are not degenerate projective planes. The application of this algorithm forn ≤ 12 yielded 20 such matrices, adding 5 matrices to the 15 previously known. For greater dimensions,n=14 andn=17, 13 new matrices are given. For nonsquare matrices, 38 new minimally nonindeal matrices are described. Copyright Physica-Verlag 1998

Suggested Citation

  • Christine Lütolf & François Margot, 1998. "A catalog of minimally nonideal matrices," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 47(2), pages 221-241, June.
    • Handle: RePEc:spr:mathme:v:47:y:1998:i:2:p:221-241
    DOI: 10.1007/BF01194398
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/BF01194398
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/BF01194398?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Gabriela Argiroffo & Silvia Bianchi & Graciela Nasini, 2008. "Some insight into characterizations of minimally nonideal matrices," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 67(2), pages 245-256, April.
    2. Ahmad Abdi & Ricardo Fukasawa & Laura Sanità, 2018. "Mathematics of Operations Research," Mathematics of Operations Research, INFORMS, vol. 43(2), pages 428-459, May.
    3. Conforti, Michele & Cornuejols, Gerard & Kapoor, Ajai & Vuskovic, Kristina, 2001. "Perfect, ideal and balanced matrices," European Journal of Operational Research, Elsevier, vol. 133(3), pages 455-461, September.

    More about this item

    Keywords

    nonideal matrices; backtracking;

    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:mathme:v:47:y:1998:i:2:p:221-241. 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.