97 citations · 431 across the 34 of their papers we have counts for
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math.RA2011★ 3 cited
Fiedler-Ptak scaling in max algebra
Sergei Sergeev
This is essentially the text of my talk on Fiedler-Ptak scaling in max algebra delivered in the invited minisymposium in honor of Miroslav Fiedler at the 17th ILAS Conference in Br…
math.RA2011
Z-matrix equations in max algebra, nonnegative linear algebra and other semirings
Peter Butkovic, Hans Schneider, Sergei Sergeev
We study the max-algebraic analogue of equations involving Z-matrices and M-matrices, with an outlook to a more general algebraic setting. We show that these equations can be solve…
math.MG2011★ 54 cited
Tropical linear-fractional programming and parametric mean payoff games
Stephane Gaubert, Ricardo D. Katz, Sergei Sergeev
Tropical polyhedra have been recently used to represent disjunctive invariants in static analysis. To handle larger instances, tropical analogues of classical linear programming re…