J4 ›› 2011, Vol. 46 ›› Issue (2): 114-116.

• Articles • Previous Articles     Next Articles

Matrix M-weighted right symmetry factor

ZHU Guang-yan1, LIU Xiao-ji2*   

  1. 1. College of Preparatory Education, Hubei Institute For Nationalities, Enshi 445000,  Hubei, China;
    2. College of Mathematical and Computer Science,Guangxi University for Nationalities,  Nanning 530006, Guangxi, China
  • Received:2009-09-07 Online:2011-02-16 Published:2011-03-30


Some definitions about matrix M-weighted (N-weighted) symmetry factors are introduced, and the construction of matrix M-weighted right symmetry factor is discussed in detail. The explicit expression of the generalized inverse A(2,3M)T,S, which is a {2,3 M}inverse of A having the prescribed rang T and null space S, is derived.

Key words: symmetry factor; generalized inverse; singular-value decomposition

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