IDEAS home Printed from https://ideas.repec.org/a/spr/coopap/v51y2012i1p241-257.html
   My bibliography  Save this article

Rank-two update algorithms for the minimum volume enclosing ellipsoid problem

Author

Listed:
  • Wei-jie Cong
  • Hong-wei Liu
  • Feng Ye
  • Shui-sheng Zhou

Abstract

No abstract is available for this item.

Suggested Citation

  • Wei-jie Cong & Hong-wei Liu & Feng Ye & Shui-sheng Zhou, 2012. "Rank-two update algorithms for the minimum volume enclosing ellipsoid problem," Computational Optimization and Applications, Springer, vol. 51(1), pages 241-257, January.
    • Handle: RePEc:spr:coopap:v:51:y:2012:i:1:p:241-257
    DOI: 10.1007/s10589-010-9342-6
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10589-010-9342-6
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10589-010-9342-6?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.

    References listed on IDEAS

    as
    1. NESTEROV, Yu, 2004. "Rounding of convex sets and efficient gradient methods for linear programming problems," LIDAM Discussion Papers CORE 2004004, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Leonid G. Khachiyan, 1996. "Rounding of Polytopes in the Real Number Model of Computation," Mathematics of Operations Research, INFORMS, vol. 21(2), pages 307-320, May.
    3. Peng Sun & Robert M. Freund, 2004. "Computation of Minimum-Volume Covering Ellipsoids," Operations Research, INFORMS, vol. 52(5), pages 690-706, October.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Wei-jie Cong & Le Wang & Hui Sun, 2020. "Rank-two update algorithm versus Frank–Wolfe algorithm with away steps for the weighted Euclidean one-center problem," Computational Optimization and Applications, Springer, vol. 75(1), pages 237-262, January.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Karim Abou-Moustafa & Frank P. Ferrie, 2018. "Local generalized quadratic distance metrics: application to the k-nearest neighbors classifier," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 12(2), pages 341-363, June.
    2. Selin Ahipaşaoğlu, 2015. "Fast algorithms for the minimum volume estimator," Journal of Global Optimization, Springer, vol. 62(2), pages 351-370, June.
    3. Zhong, Zhiming & Fan, Neng & Wu, Lei, 2023. "A hybrid robust-stochastic optimization approach for day-ahead scheduling of cascaded hydroelectric system in restructured electricity market," European Journal of Operational Research, Elsevier, vol. 306(2), pages 909-926.
    4. Alberto Seeger & José Vidal -Nuñez, 2017. "Measuring centrality and dispersion in directional datasets: the ellipsoidal cone covering approach," Journal of Global Optimization, Springer, vol. 68(2), pages 279-306, June.
    5. Pepper, Nick & Crespo, Luis & Montomoli, Francesco, 2022. "Adaptive learning for reliability analysis using Support Vector Machines," Reliability Engineering and System Safety, Elsevier, vol. 226(C).
    6. Deyi Liu & Volkan Cevher & Quoc Tran-Dinh, 2022. "A Newton Frank–Wolfe method for constrained self-concordant minimization," Journal of Global Optimization, Springer, vol. 83(2), pages 273-299, June.
    7. Mohit Singh & Weijun Xie, 2020. "Approximation Algorithms for D -optimal Design," Mathematics of Operations Research, INFORMS, vol. 45(4), pages 1512-1534, November.
    8. Wei-jie Cong & Le Wang & Hui Sun, 2020. "Rank-two update algorithm versus Frank–Wolfe algorithm with away steps for the weighted Euclidean one-center problem," Computational Optimization and Applications, Springer, vol. 75(1), pages 237-262, January.
    9. Efsun Kürüm & Gerhard-Wilhelm Weber & Cem Iyigun, 2018. "Early warning on stock market bubbles via methods of optimization, clustering and inverse problems," Annals of Operations Research, Springer, vol. 260(1), pages 293-320, January.
    10. A. Astorino & M. Gaudioso & W. Khalaf, 2014. "Edge detection by spherical separation," Computational Management Science, Springer, vol. 11(4), pages 517-530, October.
    11. Peng Sun & Robert M. Freund, 2004. "Computation of Minimum-Volume Covering Ellipsoids," Operations Research, INFORMS, vol. 52(5), pages 690-706, October.
    12. Rosa, Samuel & Harman, Radoslav, 2022. "Computing minimum-volume enclosing ellipsoids for large datasets," Computational Statistics & Data Analysis, Elsevier, vol. 171(C).
    13. E. Hendrix & I. García & J. Plaza & A. Plaza, 2013. "On the minimum volume simplex enclosure problem for estimating a linear mixing model," Journal of Global Optimization, Springer, vol. 56(3), pages 957-970, July.
    14. P. Kumar & E. A. Yıldırım, 2008. "Computing Minimum-Volume Enclosing Axis-Aligned Ellipsoids," Journal of Optimization Theory and Applications, Springer, vol. 136(2), pages 211-228, February.
    15. Hlubinka, Daniel & Šiman, Miroslav, 2013. "On elliptical quantiles in the quantile regression setup," Journal of Multivariate Analysis, Elsevier, vol. 116(C), pages 163-171.
    16. Sanjay Mehrotra & Zhifeng Li, 2011. "Branching on hyperplane methods for mixed integer linear and convex programming using adjoint lattices," Journal of Global Optimization, Springer, vol. 49(4), pages 623-649, April.
    17. Pronzato, Luc, 2013. "A delimitation of the support of optimal designs for Kiefer’s ϕp-class of criteria," Statistics & Probability Letters, Elsevier, vol. 83(12), pages 2721-2728.
    18. Alexandre Belloni, 2008. "Norm-Induced Densities and Testing the Boundedness of a Convex Set," Mathematics of Operations Research, INFORMS, vol. 33(1), pages 235-256, February.

    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:coopap:v:51:y:2012:i:1:p:241-257. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.