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COMPUTING GENERALIZED INVERSES OF A RATIONAL MATRIX AND APPLICATIONS
Stanimirovic, Predrag S.,Karampetakis, N. P.,Tasic, Milan B. 한국전산응용수학회 2007 Journal of applied mathematics & informatics Vol.24 No.1
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.