Representation and approximation for the Drazin inverse A(d)

摘要

In this paper we establish the representations for the Drazin inverse A(d) of a square matrix A, based on which we give the Faddeev-type algorithms for A(d) and for the weighted Drazin inverse Ad,W of a rectangular matrix A, the Neumann-type expansions and the iterative methods for A(d), and the iterative methods for A(d) based on functional interpolation.