Analysis of linear systems over idempotent semifields
نویسندگان
چکیده
منابع مشابه
Spectral Lattices of Reducible Matrices over Completed Idempotent Semifields
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...
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Idempotent matrices play a significant role while dealing with different questions in matrix theory and its applications. It is easy to see that over a field any idempotent matrix is similar to a diagonal matrix with 0 and 1 on the main diagonal. Over a semiring the situation is quite different. For example, the matrix J of all ones is idempotent over Boolean semiring. The first characterizatio...
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ژورنال
عنوان ژورنال: Mathematical Sciences
سال: 2020
ISSN: 2008-1359,2251-7456
DOI: 10.1007/s40096-020-00324-x