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Invertible matrices over distributive lattices

✍ Scribed by L. A. Skornyakov

Publisher
SP MAIK Nauka/Interperiodica
Year
1987
Tongue
English
Weight
236 KB
Volume
27
Category
Article
ISSN
0037-4466

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Let (L, , ∨, ∧) be a complete and completely distributive lattice. A vector ξ is said to be an eigenvector of a square matrix A over the lattice L if Aξ = λξ for some λ in L. The elements λ are called the associated eigenvalues. In this paper, we obtain the maximum eigenvector of A for a given eigen