Article ID Journal Published Year Pages File Type
4603516 Linear Algebra and its Applications 2007 14 Pages PDF
Abstract

In this paper we introduce an interpolation method for computing the Drazin inverse of a given polynomial matrix. This method is an extension of the known method from [A. Schuster, P. Hippe, Inversion of polynomial matrices by interpolation, IEEE Trans. Automat. Control 37 (3) (1992) 363–365], applicable to usual matrix inverse. Also, we improve our interpolation method, using a more effective estimation of degrees of polynomial matrices generated in Leverrier–Faddeev method. Algorithms are implemented and tested in the symbolic package MATHEMATICA.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory