Research

Publication (Journal publications)

Symbolic computation of Drazin inverses by specializations

Rafael Sendra, J.
Abstract:
In this paper, we show how to reduce the computation of Drazin inverses over certain computable fields to the computation of Drazin inverses of matrices with rational functions as entries. As a consequence we derive a symbolic algorithm to compute the Drazin inverse of matrices whose entries are elements of a finite transcendental field extension of a computable field. The algorithm is applied to matrices over the field of meromorphic functions, in several complex variables, on a connected domain and to matrices over the field of Laurent formal power series. (C) 2016 Elsevier B.V. All rights reserved.
Year:
2016
Type of Publication:
Journal publications
Keywords:
Drazin inverse, Analytic perturbation, Grobner bases, Symbolic computation, Meromorphic functions, Laurent formal power series, MATRIX SQUARING ALGORITHM, REPRESENTATION
Journal:
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume:
301
Pages:
201-212
ISSN:
0377-0427
DOI:
10.1016/j.cam.2016.01.059
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