Mathematics – Commutative Algebra
Scientific paper
2010-07-30
Mathematics
Commutative Algebra
21 pages
Scientific paper
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 generalized eigenspace decomposition of a power of an arbitrary supertropical matrix.
Izhakian Zur
Rowen Louis
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