A strongly polynomial algorithm for solving two-sided linear systems in max-algebra

An algorithm for solving m×nm×n systems of (max,+)(max,+)-linear equations is presented. The systems have variables on both sides of the equations. After O(m4n4)O(m4n4) iterations the algorithm either finds a solution of the system or finds out that no solution exists. Each iteration needs O(mn)O(mn) operations so that the complexity of the presented algorithm is O(m5n5)O(m5n5).