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Symbolic Computation of Drazin inverses by specializations
Citation
Sendra Pons, J.Rafael and Sendra Pons, Juana 
ORCID: https://orcid.org/0000-0002-9927-169X
(2016).
Symbolic Computation of Drazin inverses by specializations.
"Journal of Computational and Applied Mathematics"
(n. 301);
pp. 201-212.
https://doi.org/10.1016/j.cam.2016.01.059.
Description
| Title: | Symbolic Computation of Drazin inverses by specializations |
|---|---|
| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Journal of Computational and Applied Mathematics |
| Date: | 2016 |
| Subjects: | |
| 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 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.
Funding Projects
Type
Code
Acronym
Leader
Title
Government of Spain
MTM2014-54141-P
Unspecified
UNIVERSIDAD DE CANTABRIA (UNICAN)
CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES
More information
| Item ID: | 65373 |
|---|---|
| DC Identifier: | https://oa.upm.es/65373/ |
| OAI Identifier: | oai:oa.upm.es:65373 |
| DOI: | 10.1016/j.cam.2016.01.059 |
| Official URL: | https://www.sciencedirect.com/science/article/pii/... |
| Deposited by: | Profesor Titular de Universidad Juana Sendra Pons |
| Deposited on: | 11 Nov 2020 10:02 |
| Last Modified: | 11 Nov 2020 10:06 |
