One-sided Max-linear Systems and Max-algebraic Subspaces

Two approaches for solving one-sided max-linear systems are presented, combinatorial and algebraic. This fact highlights two fundamental aspects of max-algebra: its combinatorial nature and a specific way of dealing with the virtual non-existence of inverse matrices due to the lack of subtraction. In the latter case the significance of dual operators, matrix conjugation and extension of the ground set by an upper bound is demonstrated.

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