More on maximal and minimal ranks of Schur complements with applications

摘要

The maximal and minimal ranks of the Schur complement D−CGB are determined with respect to generalized inverse G of a matrix A, where G is taken respectively as least squares g-inverse A(1,3), minimum norm g-inverse A(1,4), as well as A(1,2,3), A(1,2,4) and A(1,3,4). Various consequences are also presented.