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