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Inventi Impact - Computational Mathematics

Articles

  • Inventi:ecm/66/14
    GROUP INVERSE FOR TWO CLASSES OF 2 × 2 BLOCK MATRICES OVER RINGS
    Chongguang Cao, Yanling Ge, Yingchun Wang, Hanyu Zhang

    Let R be an associative ring with unity 1. In this paper, existence of the group inverse of two classes of 2×2 block matrices is investigated. We obtain the sufficient and necessary conditions. And further, the representations of the group inverse of two classes are given. (1) M=(AX+YBBA0), where A? exists, XA=AX and X is invertible; (ii) M=(ACBD), where CA=C,AB=B and (D?CB)? exists. The results extend the early works of Cao and Li (Appl Math Comput 217:10271–10277, 2011) and Liu and Yang (Appl Math Comput 218:8978–8986, 2012). Some examples are given to illustrate our results.

    How to Cite this Article
    CC Compliant Citation: Chongguang Cao, Yanling Ge, Yingchun Wang, Hanyu Zhang, Group inverse for two classes of 2 × 2 block matrices over rings, Comp. Appl. Math, doi1007/s40314 -013-0075-x. © The Author(s) 2013. This article is published with open access at Springerlink.com. Open Access: This article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
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