On a generalization of power algorithms over max-plus algebra
Kistosil Fahim (Institut Teknologi Sepuluh Nopember)
undefined Subiono (Institut Teknologi Sepuluh Nopember)
Jacob van der Woude (TU Delft - Electrical Engineering, Mathematics and Computer Science)
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Abstract
In this paper we discuss a generalization of power algorithms over max-plus algebra. We are interested in finding such a generalization starting from various existing power algorithms. The resulting algorithm can be used to determine the so-called generalized eigenmode of any square regular matrix over max-plus algebra. In particular, the algorithm can be applied in the case of regular reducible matrices in which the existing power algorithms can not be used to compute eigenvalues and corresponding eigenvectors.