Displacement structure of generalized inverse matrices
A matrix \(A\) such that, for some matrices \(U\) and \(V\), the matrix \(AU - VA\) or the matrix \(A - VAU\) has a rank which is small compared with the order of the matrix is called a matrix with displacement structure. It is shown that matrices with a \(UV\)-displacement structure possess generalized inverses with a \(VU\)-displacement structure. Estimations for the displacement rank of the generalized inverses are presented.
scientific article; zbMATH DE number 698659