IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v30y2022i10ns0218348x22401983.html
   My bibliography  Save this article

On Highly Efficient Simultaneous Schemes For Finding All Polynomial Roots

Author

Listed:
  • MUDASSIR SHAMS

    (Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad 44000, Pakistan)

  • NAILA RAFIQ

    (��Department of Mathematics, National University of Modern Languages (NUML), Islamabad, Pakistan)

  • NASREEN KAUSAR

    (��Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Esenler 34210, Istanbul, Turkey)

  • PRAVEEN AGARWAL

    (�Department of Mathematics, Anand International College of Engineering, Jaipur 303012, Rajasthan, India¶Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St., 117198 Moscow, Russia∥Russian Federation and Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE**International Center for Basic and Applied Sciences, Jaipur 302029, India)

  • NAZIR AHMAD MIR

    (��Department of Mathematics, National University of Modern Languages (NUML), Islamabad, Pakistan)

  • YONG-MIN LI

    (��†Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China‡‡Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China)

Abstract

This paper develops optimal family of fourth-order iterative techniques in order to find a single root and to generalize them for simultaneous finding of all roots of polynomial equation. Convergence study reveals that for single root finding methods, its optimal convergence order is 4, while for simultaneous methods, it is 12. Computational cost and numerical illustrations demonstrate that the newly developed family of methods outperformed the previous methods available in the literature.

Suggested Citation

  • Mudassir Shams & Naila Rafiq & Nasreen Kausar & Praveen Agarwal & Nazir Ahmad Mir & Yong-Min Li, 2022. "On Highly Efficient Simultaneous Schemes For Finding All Polynomial Roots," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-10, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22401983
    DOI: 10.1142/S0218348X22401983
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X22401983
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X22401983?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:fracta:v:30:y:2022:i:10:n:s0218348x22401983. 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: https://www.worldscientific.com/worldscinet/fractals .

    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.