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The inverses of some circulant matrices

Author
Carmona, A.; Encinas, A.; Gago, S.; Jiménez, M.J.; Mitjana, M.
Type of activity
Journal article
Journal
Applied mathematics and computation
Date of publication
2015-11-01
Volume
270
First page
785
Last page
793
DOI
https://doi.org/10.1016/j.amc.2015.08.084 Open in new window
Project funding
Control de invariantes en grafos sujetos a propiedades estructurales
MTM2011-28800-C02-01
The effective resistance as a tool for the study of the inverse problem of the conductances and the analysis of the perturbations on networks
Repository
http://hdl.handle.net/2117/81331 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0096300315011406 Open in new window
Abstract
We present here necessary and su cient conditions for the invertibility of circulant and symmetric matrices that depend on three parameters and moreover, we explicitly compute the inverse. The techniques we use are related with the solution of boundary value problems associated to second order linear di erence equations. Consequently, we reduce the computational cost of the problem. In particular, we recover the inverses of some well known circulant matrices whose coe cients are arithmetic or ge...
Citation
Carmona, A., Encinas, A., Gago, S., Jiménez, M.J., Mitjana, M. The inverses of some circulant matrices. "Applied mathematics and computation", 01 Novembre 2015, vol. 270, p. 785-793.
Group of research
COMPTHE - Matrix Analysis and Discrete Potential Theory
MAPTHE - Matrix Analysis and Discrete Potential Theory

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