The group inverse of circulant matrices depending on four parameters
Explicit expressions for the coefficients of the group inverse of a circulant matrix depending on four complex parameters are analytically derived. The computation of the entries of the group inverse are now reduced to the evaluation of a polynomial. Moreover, our methodology applies to both the inv...
| Autores: | , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Recursos: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/357099 |
| Acesso em linha: | https://hdl.handle.net/2117/357099 https://dx.doi.org/10.1515/spma-2021-0149 |
| Access Level: | acceso abierto |
| Palavra-chave: | Chebyshev polynomials Difference equations Matrix theory Circulant matrix Group inverse Equacions diferencials Matrius (Matemàtica) Classificació AMS::15 Linear and multilinear algebra matrix theory Classificació AMS::11 Number theory Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Resumo: | Explicit expressions for the coefficients of the group inverse of a circulant matrix depending on four complex parameters are analytically derived. The computation of the entries of the group inverse are now reduced to the evaluation of a polynomial. Moreover, our methodology applies to both the invertible and the singular case, the latter being computationally less expensive. The techniques we use are related to the solution of boundary value problems associated with second order linear difference equations. |
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