Kybernetika 47 no. 5, 715-721, 2011

On the problem AX=lambda BX in max algebra: every system of intervals is a spectrum

Sergeĭ Sergeev

Abstract:

We consider the two-sided eigenproblem <span class="tex">A * x = &lambda; * B * x</span> over max algebra. It is shown that any finite system of real intervals and points can be represented as spectrum of this eigenproblem.

Keywords:

extremal algebra, tropical algebra, generalized eigenproblem

Classification:

15A80, 15A22, 91A46, 93C65

paper.pdf

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