ELA, Volume 16, pp. 284-290, September 2007, abstract.

On Generalized Inverses of Banded Matrices

R.B. Bapat

Bounds for the ranks of upper-right submatrices of a generalized 
inverse of a strictly lower k-banded matrix are obtained. 
It is shown that such ranks can be exactly predicted under some 
conditions. The proof uses the Nullity Theorem and bordering 
technique for generalized inverse.