The Reverse Order Law for (T,S,2)-Inverse of a Triple Matrix Product
Received:February 12, 2001  
Key Words: matrix product   （T   S   2）-inverse   reverse order law.  
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Author NameAffiliation
LIU Gui-xiang Dept. of Math.
Yangzhou College of Education
Jiangsu
China 
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Abstract:
      The (T, S,2)-inverse .AT,S(2) of a matrix A is matrix the X satisfying XAX = X,R(X) = T and N(X) = S . This paper deals with the reverse order law for (T,S,2)-inverse of a triple matrix product and proves the necessary and sufficient condition for (ABC)(T4,S4)(2)=C(T3,S3)(2)B(T2,S2)(2)A(T1,S1)(2).
Citation:
DOI:10.3770/j.issn:1000-341X.2003.04.026
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