Report Number: CS-TR-79-736
Institution: Stanford University, Department of Computer Science
Title: Note on the practical significance of the Drazin inverse
Author: Wilkinson, James Hardy
Date: April 1979
Abstract: The solution of the differential system Bx = Ax + f where A and B are n x n matrices and A - $\lambda$B is not a singular pencil may be expressed in terms of the Drazin inverse. It is shown that there is a simple reduced form for the pencil A - $\lambda$B which is adequate for the determination of the general solution and that although the Drazin inverse could be determined efficiently from this reduced form it is inadvisable to do so.