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.