On the block independency of three matrices and the structural representation for the generalized inverses of two matrices
Wei Musheng · Journal of Shanghai Normal University · 2011
Bordered matrices and their generalized inverses is an important and rich branch of mathematics.As a basic tool,it is widely applied to mathematics and other fields of science,like control theory,system identification,planning theory,network theory,measurement,statistics and econometrics.The progress of technology ushered in the information era,and the research of bordered matrices and its generalized inverses becomes more and more important.In this paper,we obtain the structures of the generalized inverses of three matrices by applying the restricted singular value decomposition QQ-SVD,and present a necessary and sufficient condition for the block independency of three matrices.