On the problem A x = λ B x in max algebra: every system of intervals is a spectrum

Sergeĭ Sergeev

Kybernetika (2011)

  • Volume: 47, Issue: 5, page 715-721
  • ISSN: 0023-5954

Abstract

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We consider the two-sided eigenproblem A ⊗ x = λ ⊗ B ⊗ x over max algebra. It is shown that any finite system of real intervals and points can be represented as spectrum of this eigenproblem.

How to cite

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Sergeev, Sergeĭ. "On the problem $Ax=\lambda Bx$ in max algebra: every system of intervals is a spectrum." Kybernetika 47.5 (2011): 715-721. <http://eudml.org/doc/196440>.

@article{Sergeev2011,
abstract = {We consider the two-sided eigenproblem $A\otimes x=\lambda \otimes B\otimes x$ over max algebra. It is shown that any finite system of real intervals and points can be represented as spectrum of this eigenproblem.},
author = {Sergeev, Sergeĭ},
journal = {Kybernetika},
keywords = {extremal algebra; tropical algebra; generalized eigenproblem; max algebra; generalized eigenproblem; tropical algebra; algorithm; eigenvector},
language = {eng},
number = {5},
pages = {715-721},
publisher = {Institute of Information Theory and Automation AS CR},
title = {On the problem $Ax=\lambda Bx$ in max algebra: every system of intervals is a spectrum},
url = {http://eudml.org/doc/196440},
volume = {47},
year = {2011},
}

TY - JOUR
AU - Sergeev, Sergeĭ
TI - On the problem $Ax=\lambda Bx$ in max algebra: every system of intervals is a spectrum
JO - Kybernetika
PY - 2011
PB - Institute of Information Theory and Automation AS CR
VL - 47
IS - 5
SP - 715
EP - 721
AB - We consider the two-sided eigenproblem $A\otimes x=\lambda \otimes B\otimes x$ over max algebra. It is shown that any finite system of real intervals and points can be represented as spectrum of this eigenproblem.
LA - eng
KW - extremal algebra; tropical algebra; generalized eigenproblem; max algebra; generalized eigenproblem; tropical algebra; algorithm; eigenvector
UR - http://eudml.org/doc/196440
ER -

References

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