IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v6y2018i11p260-d183607.html
   My bibliography  Save this article

Ball Convergence of an Efficient Eighth Order Iterative Method Under Weak Conditions

Author

Listed:
  • Janak Raj Sharma

    (Department of Mathematics, Sant Longowal Institute of Engineering and Technology Longowal, Punjab 148106, India)

  • Ioannis K. Argyros

    (Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, USA)

  • Sunil Kumar

    (Department of Mathematics, Sant Longowal Institute of Engineering and Technology Longowal, Punjab 148106, India)

Abstract

The convergence order of numerous iterative methods is obtained using derivatives of a higher order, although these derivatives are not involved in the methods. Therefore, these methods cannot be used to solve equations with functions that do not have such high-order derivatives, since their convergence is not guaranteed. The convergence in this paper is shown, relying only on the first derivative. That is how we expand the applicability of some popular methods.

Suggested Citation

  • Janak Raj Sharma & Ioannis K. Argyros & Sunil Kumar, 2018. "Ball Convergence of an Efficient Eighth Order Iterative Method Under Weak Conditions," Mathematics, MDPI, vol. 6(11), pages 1-8, November.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:260-:d:183607
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/6/11/260/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/6/11/260/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:6:y:2018:i:11:p:260-:d:183607. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.