Computing generalized inverses of a rational matrix and applications

Authors:
Predrag S. Stanimirović;N. P. Karampetakis;Milan B. Tasić
Affiliations:
University of Niš Department of Mathematics, Faculty of Science, Vigegradska, Niš, Serbia;Aristotle University of Thessaloniki, Department of Mathematics, Thessaloniki, Greece;University of Niš Department of Mathematics, Faculty of Science, Vigegradska, Niš, Serbia
Venue:
Journal of Applied Mathematics and Computing
Year:
2007

Citing 5
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Abstract

In this paper we investigate symbolic implementation of two modifications of the Leverrier-Faddeev algorithm, which are applicable in computation of the Moore-Penrose and the Drazin inverse of rational matrices. We introduce an algorithm for computation of the Drazin inverse of rational matrices. This algorithm represents an extension of the papers [11] and [14]. and a continuation of the papers [15, 16]. The symbolic implementation of these algorithms in the package MATHEMATICA is developed. A few matrix equations are solved by means of the Drazin inverse and the Moore-Penrose inverse of rational matrices.