When is \(B^ -A^ -\) a generalized inverse of \(AB\)?
When matrices \(A,B\) are invertible, their inverses satisfy \((AB)^{-1} = B^{-1}A^{-1}\). A matrix \(C^ -\) is a (1)-inverse of a matrix \(C\) if \(CC^ -C=C\). This paper examines when \(B^ -A^ -\) is a generalized inverse of \(AB\).
scientific article; zbMATH DE number 698642