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Eigenvalues and eigenvectors for matrices over distributive lattices

✍ Scribed by Yi-Jia Tan

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
835 KB
Volume
283
Category
Article
ISSN
0024-3795

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✦ Synopsis

Let (L, <~, v. A) be a complete and completely distr;butive I,ttice. A vector ~ is said to be an eigenvector of a square matrix A over the lattice L ifA~ = 2~ for some 2 E L. The elements ,;. are called the associated eigenvalues, in this paper we characterize the eigenvalues and the eigenvectors and also the roots of the characteristic equation of A.

πŸ“œ SIMILAR VOLUMES

On the eigenproblem of matrices over dis
On the eigenproblem of matrices over distributive lattices
✍ Yijia Tan πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 158 KB

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