Eigenvalues and eigenvectors for matrices over distributive lattices

DOI10.1016/S0024-3795(98)10105-2zbMath0932.15005MaRDI QIDQ1124732

Yi-Jia Tan

Publication date: 28 November 1999

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

zbMATH Keywords

eigenvalueeigenvectordistributive latticesBoolean matrixmatrix over lattice

Mathematics Subject Classification ID

Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Eigenvalues, singular values, and eigenvectors (15A18) Structure and representation theory of distributive lattices (06D05)

Related Items

Eigenspace structure of a max-drast fuzzy matrix, On nilpotent fuzzy matrices, Standard eigenvectors of incline matrices, Zero-divisor graphs of matrices over lattices, Monotone eigenspace structure in max-min algebra, On the \(\lambda \)-robustness of matrices over fuzzy algebra, On the eigenproblem of matrices over distributive lattices., Fuzzy matrices with fuzzy rows and columns, A study on characteristic roots of lattice matrices, Eigenspace structure of a max-prod fuzzy matrix, On compositions of lattice matrices, Unnamed Item, On the powers of matrices over a distributive lattice, Tolerance and weak tolerance of interval eigenvectors in fuzzy algebra, Boolean inner-product spaces and Boolean matrices, Strong tolerance of interval eigenvectors in fuzzy algebra, Powers of matrices over distributive lattices -- a review, Z-matrix equations in max-algebra, nonnegative linear algebra and other semirings, Unnamed Item

Cites Work

• On matrix equations in a class of complete and completely distributive lattices
• Eigenvectors in Bottleneck algebra
• Boolean spectral theory
• Determinant theory for \(D_{01}\)-lattice matrices
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