IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/289029.html
   My bibliography  Save this article

Design of High-Order Iterative Methods for Nonlinear Systems by Using Weight Function Procedure

Author

Listed:
  • Santiago Artidiello
  • Alicia Cordero
  • Juan R. Torregrosa
  • María P. Vassileva

Abstract

We present two classes of iterative methods whose orders of convergence are four and five, respectively, for solving systems of nonlinear equations, by using the technique of weight functions in each step. Moreover, we show an extension to higher order, adding only one functional evaluation of the vectorial nonlinear function. We perform numerical tests to compare the proposed methods with other schemes in the literature and test their effectiveness on specific nonlinear problems. Moreover, some real basins of attraction are analyzed in order to check the relation between the order of convergence and the set of convergent starting points.

Suggested Citation

  • Santiago Artidiello & Alicia Cordero & Juan R. Torregrosa & María P. Vassileva, 2015. "Design of High-Order Iterative Methods for Nonlinear Systems by Using Weight Function Procedure," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-12, August.
    • Handle: RePEc:hin:jnlaaa:289029
    DOI: 10.1155/2015/289029
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2015/289029.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2015/289029.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2015/289029?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:jnlaaa:289029. 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.