On the eigenproblem of matrices over distributive lattices

Linear Algebra and Its Applications

Volumn 374, Issue , 2003, Pages 87-106

  Tan, Yijia ^a  

^a FUZHOU UNIVERSITY   (China)

Author keywords

Distributive lattice; Eigenvalue; Eigenvector; Matrix; Primitive eigenvector

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; VECTORS;

EIGENPROBLEMS;

MATRIX ALGEBRA;

EID: 0141732285     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(03)00550-0     Document Type: Article

References (7)

1. Blyth T.B. On eigenvectors of Boolean matrices. Proc. Roy. Soc. Edinburgh Sect. A. 67:1966;196-204.
2. Cechlárova K. Eigenvectors in bottleneck algebra. Linear Algebra Appl. 175:1992;63-73.
3. Gavalec M. Monotone eigenspace structure in max-min algebra. Linear Algebra Appl. 345:2002;149-167.
4. Kirkland S., Pullman N.J. Boolean spectral theory. Linear Algebra Appl. 175:1992;177-190.
5. Rutherford D.E. The eigenvalue problem for Boolean matrices. Proc. Roy. Soc. Edinburgh Sect. A. 67:1965;25-38.
6. Sanches E. Resolution of eigen fuzzy sets equations. Fuzzy Sets Syst. 1:1978;69-74.
7. Tan Y.J. Eigenvalues and eigenvectors for matrices over distributive lattices. Linear Algebra Appl. 283:1998;257-272.