IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i3p277-d215183.html
   My bibliography  Save this article

The Forward Order Law for Least Square g -Inverse of Multiple Matrix Products

Author

Listed:
  • Zhiping Xiong

    (School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, China)

  • Zhongshan Liu

    (School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, China)

Abstract

The generalized inverse has many important applications in the aspects of the theoretic research of matrices and statistics. One of the core problems of the generalized inverse is finding the necessary and sufficient conditions of the forward order laws for the generalized inverse of the matrix product. In this paper, by using the extremal ranks of the generalized Schur complement, we obtain some necessary and sufficient conditions for the forward order laws A 1 { 1 , 3 } A 2 { 1 , 3 } ⋯ A n { 1 , 3 } ⊆ ( A 1 A 2 ⋯ A n ) { 1 , 3 } and A 1 { 1 , 4 } A 2 { 1 , 4 } ⋯ A n { 1 , 4 } ⊆ ( A 1 A 2 ⋯ A n ) { 1 , 4 } .

Suggested Citation

  • Zhiping Xiong & Zhongshan Liu, 2019. "The Forward Order Law for Least Square g -Inverse of Multiple Matrix Products," Mathematics, MDPI, vol. 7(3), pages 1-10, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:277-:d:215183
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/3/277/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/3/277/
    Download Restriction: no
    ---><---

    Citations

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


    Cited by:

    1. Dilan Ahmed & Mudhafar Hama & Karwan Hama Faraj Jwamer & Stanford Shateyi, 2019. "A Seventh-Order Scheme for Computing the Generalized Drazin Inverse," Mathematics, MDPI, vol. 7(7), pages 1-10, July.

    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:gam:jmathe:v:7:y:2019:i:3:p:277-:d:215183. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.