IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2014y2014i1n731562.html

Approximating the Inverse of a Square Matrix with Application in Computation of the Moore‐Penrose Inverse

Author

Listed:
  • F. Soleymani
  • M. Sharifi
  • S. Shateyi

Abstract

This paper presents a computational iterative method to find approximate inverses for the inverse of matrices. Analysis of convergence reveals that the method reaches ninth‐order convergence. The extension of the proposed iterative method for computing Moore‐Penrose inverse is furnished. Numerical results including the comparisons with different existing methods of the same type in the literature will also be presented to manifest the superiority of the new algorithm in finding approximate inverses.

Suggested Citation

  • F. Soleymani & M. Sharifi & S. Shateyi, 2014. "Approximating the Inverse of a Square Matrix with Application in Computation of the Moore‐Penrose Inverse," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:731562
    DOI: 10.1155/2014/731562
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/731562
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/731562?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
    ---><---

    References listed on IDEAS

    as
    1. Xiaoji Liu & Yonghui Qin, 2012. "Successive Matrix Squaring Algorithm for Computing the Generalized Inverse AT,S(2)," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Xiaoji Liu & Fu Huang, 2013. "Higher‐Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Xiaoji Liu & Fu Huang, 2013. "Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, November.
    4. Xiaoji Liu & Yonghui Qin, 2012. "Successive Matrix Squaring Algorithm for Computing the Generalized Inverse," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. T. Lotfi & F. Soleymani & S. Sharifi & S. Shateyi & F. Khaksar Haghani, 2014. "Multipoint Iterative Methods for Finding All the Simple Zeros in an Interval," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. T. Lotfi & F. Soleymani & S. Shateyi & P. Assari & F. Khaksar Haghani, 2014. "New Mono‐ and Biaccelerator Iterative Methods with Memory for Nonlinear Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Predrag S. Stanimirović & Miroslav Ćirić & Igor Stojanović & Dimitrios Gerontitis, 2017. "Conditions for Existence, Representations, and Computation of Matrix Generalized Inverses," Complexity, Hindawi, vol. 2017, pages 1-27, June.

    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:wly:jnljam:v:2014:y:2014:i:1:n:731562. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    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.