Gröbner basis computation of Drazin inverses with multivariate rational function entries

Juana Sendra and J. Rafael Sendra

Applied Mathematics and Computation, 2015, vol. 259, issue C, 450-459

Abstract: In this paper we show how to apply Gröbner bases to compute the Drazin inverse of a matrix with multivariate rational functions as entries. When the coefficients of the rational functions depend on parameters, we give sufficient conditions for the Drazin inverse to specialize properly. In addition, we extend the method to weighted Drazin inverses. We present an empirical analysis that shows a good timing performance of the method.

Keywords: Drazin inverse; Gröbner bases; Symbolic computation (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:259:y:2015:i:c:p:450-459

DOI: 10.1016/j.amc.2015.02.070

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