@article{f00ac8a1bf7b4a52be9ee7fee70f109d,
title = "Supertropical matrix algebra III: Powers of matrices and their supertropical eigenvalues",
abstract = "We investigate powers of supertropical matrices, with special attention to the role of the coefficients of the supertropical characteristic polynomial (especially the supertropical trace) in controlling the rank of a power of a matrix. This leads to a Jordan-type decomposition of supertropical matrices, together with a supertropical eigenspace decomposition of a power of an arbitrary supertropical matrix.",
keywords = "Eigenspaces, Jordan decomposition, Nilpotent and ghostpotent matrices, Powers of matrices, Tropical algebra",
author = "Zur Izhakian and Louis Rowen",
note = "Funding Information: ✩ This research is supported by the Israel Science Foundation (grant No. 448/09). * Corresponding author. E-mail addresses:
[email protected] (Z. Izhakian),
[email protected] (L. Rowen). 1 The first author has been a Leibniz Fellow in the Oberwolfach Leibniz Fellows Forschungsinstitut Oberwolfach, Germany.",
year = "2011",
month = sep,
day = "1",
doi = "10.1016/j.jalgebra.2011.06.002",
language = "אנגלית",
volume = "341",
pages = "125--149",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
number = "1",
}