Infinite invertible arrowhead matrices and applications

Abderraman Marrero, Jesús Carmelo and Tomeo Perucha, Venancio (2015). Infinite invertible arrowhead matrices and applications. In: "15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2015)", 06/07/2015 - 10/07/2015, Costa Ballena, Rota, Cádiz (Spain). ISBN 978-84-617-2230-3. pp. 2-11.

Description

Title: Infinite invertible arrowhead matrices and applications
Author/s:
  • Abderraman Marrero, Jesús Carmelo
  • Tomeo Perucha, Venancio
Item Type: Presentation at Congress or Conference (Article)
Event Title: 15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2015)
Event Dates: 06/07/2015 - 10/07/2015
Event Location: Costa Ballena, Rota, Cádiz (Spain)
Title of Book: Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2015)
Date: 2015
ISBN: 978-84-617-2230-3
Subjects:
Freetext Keywords: Arrowhead matrix, infinite matrix, matrix inverse, matrix factorization
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

Motivated by current applications of the arrowhead matrices of large order, the infinite invertible arrowhead matrices are considered. A method based on a simple but suitable triangular factorization is proposed for obtaining, in the finite-dimensional case, a decomposition of the inverse in O(n) time. This procedure can be applicable to infinite arrowhead matrices factored properly. Some illustrative examples are given.

More information

Item ID: 45035
DC Identifier: http://oa.upm.es/45035/
OAI Identifier: oai:oa.upm.es:45035
Deposited by: Memoria Investigacion
Deposited on: 07 Mar 2017 17:22
Last Modified: 07 Mar 2017 17:22
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