J4 ›› 2010, Vol. 45 ›› Issue (12): 33-39.

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M-P inverses and weighted M-P inverses of matrices over a distributive lattice

ZHANG Li-mei1,2   

  1. 1. Department of Computer Science and Engineering, Nanjing University of Aeronautics ＆ Astronautics, Nanjing 210016, Jiangsu, China;
    2. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, Shandong, China
  • Received:2009-08-02 Online:2010-12-16 Published:2011-03-16
  • About author:ZHANG Li-mei (1978-), Female, Lecturer, Ph.D. candidate, her research mainly focuses on pattern recognition, matrix theory and computation. Email: zhanglimei@nuaa.edu.cn
  • Supported by:

    Supported by the Research Fund for the Doctoral Program of Higher Education(200802870003)

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Abstract:

M-P inverses and weighted M-P inverses over a distributive lattice are investigated using the binary matrix representation technique (i.e., lattice matrices are represented by a linear combination of binary matrices).  Some equivalent conditions for the existences of these inverses and the structure characters of lattice matrices are given when these inverses exist.
 

Key words: distributive lattice; binary matrix representation; M-P inverse; weighted M-P inverse

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