Computing generalized inverses of a rational matrix and applications |
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Authors: | Predrag S Stanimirovi? N P Karampetakis Milan B Tasi? |
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Institution: | 1. Department of Mathematics, Faculty of Science, University of Ni?, Vi?egradska 33, P.O. Box 224, 18000, Ni?, Serbia 2. Department of Mathematics, Aristotle University of Thessaloniki, 54006, Thessaloniki, Greece 3. Department of Mathematics, Faculty of Science, University of Ni?, Vi?egradska 33, P.O. Box 224, 18000, Ni?, Serbia
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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. |
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