Grobner Basis Computation of Drazin Inverses with Multivariate Rational Function Entries

Sendra Pons, Juana and Sendra Pons, J. Rafael (2015). Grobner Basis Computation of Drazin Inverses with Multivariate Rational Function Entries. "Applied Mathematics and Computation", v. 259 ; pp. 450-459. ISSN 0096-3003. https://doi.org/10.1016/j.amc.2015.02.070.

Description

Title: Grobner Basis Computation of Drazin Inverses with Multivariate Rational Function Entries
Author/s:
  • Sendra Pons, Juana
  • Sendra Pons, J. Rafael
Item Type: Article
Título de Revista/Publicación: Applied Mathematics and Computation
Date: 15 May 2015
ISSN: 0096-3003
Volume: 259
Subjects:
Freetext Keywords: Drazin inverse, Grobner bases, symbolic computation
Faculty: E.T.S.I. y Sistemas de Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: None

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Abstract

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 coeficients of the rational functions depend on parameters, we give suficient 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.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainMTM2011-25816-C02-01UnspecifiedUnspecifiedAlgoritmos y aplicaciones en geometría de curvas y superficies

More information

Item ID: 44925
DC Identifier: http://oa.upm.es/44925/
OAI Identifier: oai:oa.upm.es:44925
DOI: 10.1016/j.amc.2015.02.070
Official URL: http://dx.doi.org/10.1016/j.amc.2015.02.070
Deposited by: Profesor Titular de Universidad Juana Sendra Pons
Deposited on: 01 Mar 2017 11:14
Last Modified: 01 Mar 2017 11:14
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