97 citations · 431 across the 34 of their papers we have counts for
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math.RA2010
On commuting matrices in max algebra and in classical nonnegative algebra
Ricardo D. Katz, Hans Schneider, Sergei Sergeev
This paper studies commuting matrices in max algebra and nonnegative linear algebra. Our starting point is the existence of a common eigenvector, which directly leads to max analog…
math.RA2010★ 7 cited
Basic solutions of systems with two max-linear inequalities
Sergei Sergeev, Edouard Wagneur
We give an explicit description of the basic solutions of max-linear systems with two inequalities.
math.RA2010
On the problem Ax=λBx in max algebra: every system of intervals is a spectrum
Sergei Sergeev
We consider the two-sided eigenproblem Ax=λBx over max algebra. It is shown that any finite system of real intervals and points can be represented as spectrum of this eigenproblem.