Invariant Subspaces, Derivative Arrays, and the Computation of the Drazin Inverse

Abstract

The Drazin generalized inverse appears in a number of applications including the theory of linear time invariant differential-algebraic equations (DAEs). In this paper we consider its robust computation. Various methods are proposed all of them based on the determination of bases of invariant subspaces connected with the Drazin inverse. We also include comparisons of our methods to some of the other approaches found in the literature.