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Infinite invertible arrowhead matrices and applications
Citation
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 |
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| Author/s: |
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| 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 |
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 |
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| 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 |
