IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2014y2014i1n743032.html
   My bibliography  Save this article

Local Cr Stability for Iterative Roots of Orientation‐Preserving Self‐Mappings on the Interval

Author

Listed:
  • Yingying Zeng

Abstract

Stability of iterative roots is important in their numerical computation. It is known that under some conditions iterative roots of orientation‐preserving self‐mappings are both globally C0 stable and locally C1 stable but globally C1 unstable. Although the global C1 instability implies the general global Cr (r ≥ 2) instability, the local C1 stability does not guarantee the local Cr (r ≥ 2) stability. In this paper we generally prove the local Cr (r ≥ 2) stability for iterative roots. For this purpose we need a uniform estimate for the approximation to the conjugation in Cr linearization, which is given by improving the method used for the C1 case.

Suggested Citation

  • Yingying Zeng, 2014. "Local Cr Stability for Iterative Roots of Orientation‐Preserving Self‐Mappings on the Interval," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:743032
    DOI: 10.1155/2014/743032
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/743032
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/743032?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
    ---><---

    More about this item

    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:wly:jnljam:v:2014:y:2014:i:1:n:743032. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1155/4058 .

    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.