Reachability of eigenspaces for interval circulant matrices in max algebra

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Preprint

15 December 2016

preprint
Published by arXiv in arXiv

DOI:https://doi.org/10.48550/arXiv.1612.05040

Abstract

Nonnegative matrix A is called 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. We consider the case when 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 the paper is to classify and characterize several types of interval robustness in this situation. This leads us also to study spectral theory and inclusion of attraction cones for circulant matrices in max algebra.

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This publication has 22 references indexed in Scilit:

Tolerance types of interval eigenvectors in max-plus algebra
Information Sciences, 2016
Generalizations of bounds on the index of convergence to weighted digraphs
Discrete Applied Mathematics, 2014
The weak robustness of interval matrices in $max$ –plus algebra
Discrete Applied Mathematics, 2014
A Validated Real Function Calculus
Mathematics in Computer Science, 2011
Extending conceptualisation modes for generalised Formal Concept Analysis
Information Sciences, 2011
Max-plus algebra-based wavelet transforms and their FPGA implementation for image coding
Information Sciences, 2010
Max-linear Systems: Theory and Algorithms
2010
Control solvability of interval systems of max-separable linear equations
Linear Algebra and its Applications, 2006
Linear Optimization Problems with Inexact Data
2006
Interval systems of max-separable linear equations
Linear Algebra and its Applications, 2005