Czech digital mathematics library · 2010 · 23 citations · 0 references
Open access
Natural SciencesMathematicsAlgebraOptimizationEigenvalue ProblemsLinear AlgebraOperator TheoryOptimization TheoryEigenvectorsHasse DiagramsInterval AnalysisOperator Monotonicity
summary:The interval eigenproblem in max-min algebra is studied. A classification of interval eigenvectors is introduced and six types of interval eigenvectors are described. Characterization of all six types is given for the case of strictly increasing eigenvectors and Hasse diagram of relations between the types is presented.