20 citations · 42 across the 5 of their papers we have counts for
3 papers · 1 filter
Universal algorithms for solving the matrix Bellman equations over semirings
Grigory L. Litvinov, Anatoly Ya. Rodionov, Sergei N. Sergeev +1
This paper is a survey on universal algorithms for solving the matrix Bellman equations over semirings and especially tropical and idempotent semirings. However, original algorithm…
Two cores of a nonnegative matrix
Peter Butkovic, Hans Schneider, Sergei Sergeev +1
We prove that the sequence of eigencones (i.e., cones of nonnegative eigenvectors) of positive powers A^k of a nonnegative square matrix A is periodic both in max algebra and in no…
The Analytic Hierarchy Process, Max Algebra and Multi-objective Optimisation
Buket Benek Gursoy, Oliver Mason, Sergei Sergeev
The Analytic Hierarchy Process (AHP) is widely used for decision making involving multiple criteria. Elsner and van den Driessche introduced a max-algebraic approach to the single…