Symbolic Computation of Drazin inverses by specializations

Sendra Pons, J.Rafael and Sendra Pons, Juana (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:
  • Sendra Pons, J.Rafael
  • Sendra Pons, Juana
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

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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

TypeCodeAcronymLeaderTitle
Government of SpainMTM2014-54141-PUnspecifiedUNIVERSIDAD DE CANTABRIA (UNICAN)CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES

More information

Item ID: 65373
DC Identifier: http://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/S0377042716300395?
Deposited by: Profesor Titular de Universidad Juana Sendra Pons
Deposited on: 11 Nov 2020 10:02
Last Modified: 11 Nov 2020 10:06
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