Investigación

Publicación (Artículos en revistas científicas)

Grobner basis computation of Drazin inverses with multivariate rational function entries

Sendra, J. Rafael
Resumen:
In this paper we show how to apply Grobner 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. (C) 2015 Elsevier Inc. All rights reserved.
Año:
2015
Tipo de publicación:
Artículos en revistas científicas
Palabras clave:
Drazin inverse, Grobner bases, Symbolic computation, MATRIX, ALGORITHM
Revista:
APPLIED MATHEMATICS AND COMPUTATION
Volumen:
259
Páginas:
450-459
Mes:
Mayo
ISSN:
0096-3003
DOI:
10.1016/j.amc.2015.02.070