Reachability of eigenspaces for interval circulant matrices in max-algebra

Autor: Plavka, Jan, Sergeev, Sergei
Rok vydání: 2016
Předmět:
Zdroj: Linear Algebra and its Applications 550 (2018) 59-86
Druh dokumentu: Working Paper
DOI: 10.1016/j.laa.2018.03.041
Popis: A nonnegative matrix A is said to be strongly robust if its max-algebraic eigencone is universally reachable, i.e., if the orbit of any initial vector ends up with a max-algebraic eigenvector of A. Consider the case when the initial vector is restricted to an interval and A can be any matrix from a given interval of nonnegative circulant matrices. The main aim of this paper is to classify and characterize the six types of interval robustness in this situation. This naturally leads us also to study the max-algebraic spectral theory of circulant matrices and the relation of inclusion between attraction cones of circulant matrices in max-algebra.
Comment: corrected some mistakes in Examples 3.9 and 3.10 (w.r.t. the previous version)
Databáze: arXiv
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