Reverse Order Laws for the Weighted Moore-Penrose Inverse of a Triple Matrix Product
Gao Jing · 2000
By using ranks of matrices,a necessary and sufficient condition for the triple reverse order law to hold is given: (ABC) +MK=C+LKB+NLA+MN r BB#B 0 BC 0 - TT#T TC#C AB AA#T 0 =r(T) +r(B) , where T=ABC.Applications of the reverse order law for weighted Moore- Penrose inverse of a triple matrix product are introduced.