The group inverse of some circulant matrices
| Autor: | María José Jiménez Jiménez, Andrés M. Encinas, Angeles Carmona, Margarida Mitjana |
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| Přispěvatelé: | Universitat Politècnica de Catalunya. Departament de Matemàtiques, Universitat Politècnica de Catalunya. MAPTHE - Anàlisi matricial i Teoria Discreta del Potencial |
| Rok vydání: | 2021 |
| Předmět: |
Class (set theory)
Work (thermodynamics) Algebras Linear Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal [Àrees temàtiques de la UPC] Circulant matrix Inverse 010103 numerical & computational mathematics 01 natural sciences Difference Equations matrix theory Discrete Mathematics and Combinatorics Applied mathematics 0101 mathematics Singular case Mathematics Numerical Analysis Algebra and Number Theory Non singular Group (mathematics) 15 Linear and multilinear algebra matrix theory [Classificació AMS] 15 Linear and multilinear algebra [Classificació AMS] 010102 general mathematics First order Group Inverse Geometry and Topology Àlgebra lineal |
| Zdroj: | UPCommons. Portal del coneixement obert de la UPC Universitat Politècnica de Catalunya (UPC) |
| ISSN: | 0024-3795 |
| DOI: | 10.1016/j.laa.2020.11.002 |
| Popis: | In a previous work the authors presented the necessary and sufficient conditions for the invertibility of some circulant matrices that depend on three real parameters and, moreover, we obtained a closed formula for their inverse. The techniques we used allowed us to reduce the computational cost of evaluating the inverse. In this work we complete the theoretical analysis of the mentioned circulant matrices by considering complex parameters and also the singular case. In addition, we explicitely compute the group inverse of a specific kind of this class of matrices using the same techniques that the authors developed for the non singular case; that is, solving first order linear difference equations. |
| Databáze: | OpenAIRE |
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