English

On the problem Ax=\lambda Bx in max algebra: every system of intervals is a spectrum

Rings and Algebras 2014-01-16 v2

Abstract

We consider the two-sided eigenproblem Ax=\lambda Bx over max algebra. It is shown that any finite system of real intervals and points can be represented as spectrum of this eigenproblem.

Cite

@article{arxiv.1001.4051,
  title  = {On the problem Ax=\lambda Bx in max algebra: every system of intervals is a spectrum},
  author = {Sergei Sergeev},
  journal= {arXiv preprint arXiv:1001.4051},
  year   = {2014}
}

Comments

7 pages, minor corrections, change of title

R2 v1 2026-06-21T14:38:11.221Z