Comments on "On the inverses of certain matrices"
D. Subramanian, H. Rao, M. R. Chidambara · IEEE Transactions on Automatic Control · 1969
It is shown here that the method suggested by Chidambara (Barlett's equation) is a particular version of the general matrix modification formula[A + USV^{T}]^{-1} = A^{-1} - A^{-1}U[S^{-1}+ V^{T}A^{-1}U]^{-1}V^{T}A^{-1}and that the modification suggested by Chidambara is obtained from this general form.