IDEAS home Printed from https://ideas.repec.org/a/ibn/jmrjnl/v11y2019i6p1.html
   My bibliography  Save this article

Criteria for H-Matrices Based on γ−Diagonally Dominant Matrix

Author

Listed:
  • Xin Li
  • Mei Qin

Abstract

In this paper, we present a new practical criteria for H-matrix based on γ-diagonally dominant matrix. In order to make the judgment conditions convenient and effective, we give two new definitions, one is called strong and weak diagonally dominant degree, the other is called the sum of non-principal diagonal element for the matrix. Further, we obtain a new practical method for the determination of the H-matrix by combining the properties of γ-diagonally dominant matrix, constructing positive diagonal matrix, and adding the appropriate parameters. Finally, we offer numerical examples to verify the validity of the judgment conditions, corresponding numerical examples compared the new criteria and the existing results are presented to verify the advantages of the new determination method.

Suggested Citation

  • Xin Li & Mei Qin, 2019. "Criteria for H-Matrices Based on γ−Diagonally Dominant Matrix," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(6), pages 1-1, December.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:6:p:1
    as

    Download full text from publisher

    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/download/0/0/41121/42495
    Download Restriction: no
    File URL: http://www.ccsenet.org/journal/index.php/jmr/article/view/0/41121
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Liu, Jianzhou & Zhang, Juan & Zhou, Lixin & Tu, Gen, 2018. "The Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices and its applications," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 251-263.
    Full references (including those not matched with items on IDEAS)

    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. Orera, H. & Peña, J.M., 2019. "Infinity norm bounds for the inverse of Nekrasov matrices using scaling matrices," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 119-127.

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    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:ibn:jmrjnl:v:11:y:2019:i:6:p:1. 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: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    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.