On the eigenproblem of matrices over distributive lattices.

DOI10.1016/S0024-3795(03)00550-0zbMath1033.15005MaRDI QIDQ1414154

Yi-Jia Tan

Publication date: 19 November 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvalueeigenvectordistributive latticematrixprimitive eigenvector

Mathematics Subject Classification ID

Complete distributivity (06D10) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (8)

Standard eigenvectors of incline matrices ⋮ Zero-divisor graphs of matrices over lattices ⋮ Perfect non-commuting graphs of matrices over chains ⋮ A study on characteristic roots of lattice matrices ⋮ Subeigenvectors and supereigenvectors of fuzzy matrices ⋮ Eigenfunctions of ultrametric morphological openings and closings ⋮ On the weak robustness of interval fuzzy matrices ⋮ Unnamed Item

Cites Work

• Eigenvalues and eigenvectors for matrices over distributive lattices
• Eigenvectors in Bottleneck algebra
• Boolean spectral theory
• Resolution of eigen fuzzy sets equations
• Monotone eigenspace structure in max-min algebra
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• Unnamed Item

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