On the power method in max algebra (Q1970430)

Let an eigenvalue problem \(A\otimes x=\lambda x\) be given with an irreducible and nonnegative matrix \(A\), \((A\otimes x)_i=\max_j(a_{ij}x_j)\) and \(\lambda\) turns out to be the maximum circuit geometric mean \(\mu(A)\). For computing \(\mu(A)\) and eigenvector \(x\) a power method algorithm is given and some asymptotic formulas relating \(\mu(A)\), the spectral radius and norms are also derived.