The group inverse of extended symmetric and periodic Jacobi matrices
In this work, we explicitly compute the group inverse of symmetric and periodic Jacobi matrices with constant elements that have been extended by adding a row and a column conveniently de ned. For this purpose, we interpret such matrices as the combinatorial Laplacian of a non-complete wheel that ha...
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| Tipo de recurso: | informe técnico |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/124693 |
| Acceso en línea: | https://hdl.handle.net/2117/124693 |
| Access Level: | acceso abierto |
| Palabra clave: | Algebras, Linear Symmetric and Circulant Matrices Inverses Chebyshev polynomials Àlgebra lineal Àrees temàtiques de la UPC::Matemàtiques i estadística |
| Sumario: | In this work, we explicitly compute the group inverse of symmetric and periodic Jacobi matrices with constant elements that have been extended by adding a row and a column conveniently de ned. For this purpose, we interpret such matrices as the combinatorial Laplacian of a non-complete wheel that has been obtained by adding a vertex to a cycle and some edges conveniently chosen. The obtained group inverse is an incomplete block matrix with a block Toeplitz structure. In addition, we obtain the e ffective resistances and the Kirchhoff index of non-complete wheels. |
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