IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/264529.html
   My bibliography  Save this article

New Highly Efficient Families of Higher-Order Methods for Simple Roots, Permitting

Author

Listed:
  • Ramandeep Behl
  • V. Kanwar

Abstract

Construction of higher-order optimal and globally convergent methods for computing simple roots of nonlinear equations is an earliest and challenging problem in numerical analysis. Therefore, the aim of this paper is to present optimal and globally convergent families of King's method and Ostrowski's method having biquadratic and eight-order convergence, respectively, permitting in the vicinity of the required root. Fourth-order King's family and Ostrowski's method can be seen as special cases of our proposed scheme. All the methods considered here are found to be more effective to the similar robust methods available in the literature. In their dynamical study, it has been observed that the proposed methods have equal or better stability and robustness as compared to the other methods.

Suggested Citation

  • Ramandeep Behl & V. Kanwar, 2014. "New Highly Efficient Families of Higher-Order Methods for Simple Roots, Permitting," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-12, May.
    • Handle: RePEc:hin:jijmms:264529
    DOI: 10.1155/2014/264529
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/2014/264529.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/2014/264529.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/264529?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:hin:jijmms:264529. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.