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Grobner Basis Computation of Drazin Inverses with Multivariate Rational Function Entries
Citation
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 |
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| Author/s: |
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| 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 |
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
| Type | Code | Acronym | Leader | Title |
|---|---|---|---|---|
| Government of Spain | MTM2011-25816-C02-01 | Unspecified | Unspecified | Algoritmos y aplicaciones en geometría de curvas y superficies |
More information
| Item ID: | 44925 |
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| 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 |
