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math.RA2021
An algorithm for finding the scaled basis of the supereigenvector space in max-plus algebra
Hui-li Wang, Sergei Sergeev
We present an algorithm for finding a basis of the supereigenvector space in max-plus algebra. The main ideas of the new algorithm are: finding better generators by exploiting the…
math.RA2018
A Bound for the Rank-One Transient of Inhomogeneous Matrix Products in Special Case
Arthur Kennedy Cochran Patrick, Sergei Sergeev, Štefan Berežný
We consider inhomogeneous matrix products over max-plus algebra, where the matrices in the product satisfy certain assumptions under which the matrix products of sufficient length…
math.RA2009★ 3 cited
Cyclic classes and attraction cones in max algebra
Sergei Sergeev
In max algebra it is well-known that the sequence A^k, with A an irreducible square matrix, becomes periodic at sufficiently large k. This raises a number of questions on the perio…