IDEAS home Printed from https://ideas.repec.org/a/wsi/apjorx/v39y2022i06ns0217595922500038.html
   My bibliography  Save this article

A Global Convergence Analysis for Computing a Symmetric Low-Rank Orthogonal Approximation

Author

Listed:
  • Wenxin Du

    (Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. China)

  • Shenglong Hu

    (Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. China)

  • Youyicun Lin

    (Department of Mathematics, School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, P. R. China)

  • Jie Wang

    (School of Science, China Jiliang University, Hangzhou, Zhejiang 310018, P. R. China)

Abstract

In this paper, we present a refined convergence analysis for a simple yet powerful method for computing a symmetric low-rank orthogonal approximation of a symmetric tensor proposed in the literature. The significance is that the assumption guaranteeing the global convergence is vastly relaxed to only on an input parameter of this algorithm.

Suggested Citation

  • Wenxin Du & Shenglong Hu & Youyicun Lin & Jie Wang, 2022. "A Global Convergence Analysis for Computing a Symmetric Low-Rank Orthogonal Approximation," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 39(06), pages 1-12, December.
    • Handle: RePEc:wsi:apjorx:v:39:y:2022:i:06:n:s0217595922500038
    DOI: 10.1142/S0217595922500038
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0217595922500038
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0217595922500038?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.

    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:wsi:apjorx:v:39:y:2022:i:06:n:s0217595922500038. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/apjor/apjor.shtml .

    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.