Journal of applied mathematics & informatics
- Volume 24 Issue 1_2
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- Pages.81-94
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- 2007
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
COMPUTING GENERALIZED INVERSES OF A RATIONAL MATRIX AND APPLICATIONS
- Stanimirovic, Predrag S. (University of Nis, Department of Mathematics, Faculty of Science) ;
- Karampetakis, N. P. (Aristotle University of Thessaloniki, Department of Mathematics) ;
- Tasic, Milan B. (University of Nis, Department of Mathematics, Faculty of Science)
- Published : 2007.05.31
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.