More on maximal and minimal ranks of Schur complements with applications
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.