IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/1076545.html
   My bibliography  Save this article

Explicit Expression for Arbitrary Positive Integer Powers of Special Sparse Matrices

Author

Listed:
  • Mohammad Beiranvand
  • Mojtaba Ghasemi Kamalvand
  • A. Firdous Shah

Abstract

Sparse matrices appear frequently in mathematical models. In this paper, we firstly present a general expression for the entries of the r th r∈ℕ power of a certain n-square sparse matrix, in terms of the Chebyshev polynomials of the second kind. Secondly, we present a method for integer positive powers of the skew matrix corresponding to these sparse matrices. This method will be inspiring to calculate the positive integer powers of the similar matrices. Finally, we present some examples to illustrate our results. Also, we give maple 18 procedures in order to verify our calculations.

Suggested Citation

  • Mohammad Beiranvand & Mojtaba Ghasemi Kamalvand & A. Firdous Shah, 2022. "Explicit Expression for Arbitrary Positive Integer Powers of Special Sparse Matrices," Journal of Mathematics, Hindawi, vol. 2022, pages 1-13, December.
    • Handle: RePEc:hin:jjmath:1076545
    DOI: 10.1155/2022/1076545
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2022/1076545.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2022/1076545.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/1076545?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:jjmath:1076545. 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.