RT Conference Proceedings
T1 Spectral Lattices of reducible matrices over completed idempotent semifields
A1 Valverde Albacete, Francisco José
A1 Peláez Moreno, Carmen
AB Previous work has shown a relation between L-valued extensions of FCA and the spectra of some matrices related to L-valued contexts. We investigate the spectra of reducible matrices over completed idempotent semifields in the framework of dioids, naturally-ordered semirings, that encompass several of those extensions. Considering special sets of eigenvectors also brings out complete lattices in the picture and we argue that such structure may be more important than standard eigenspace structure for matrices over completed idempotent semifields.
PB Ceur Workshop Proceedings
SN 978-2-7466-6566-8
SN 1613-0063
YR 2013
FD 2013
LK https://hdl.handle.net/10016/21515
UL https://hdl.handle.net/10016/21515
LA eng
NO Proceedings of: 10th International Conference on Concept Lattices and Their Applications. (CLA 2013). La Rochelle, France, October 15-18, 2013.
NO FJVA is supported by EU FP7 project LiMoSINe (contract 288024). CPM has been partially supported by the Spanish Government-Comisión Interministerial de Ciencia y Tecnología project TEC2011-26807 for this paper.
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RD 1 jul. 2024