Supertropical matrix algebra III: Powers of matrices and generalized eigenspaces
Commutative Algebra
2010-08-03 v1 Rings and Algebras
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 generalized eigenspace decomposition of a power of an arbitrary supertropical matrix.
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Cite
@article{arxiv.1008.0023,
title = {Supertropical matrix algebra III: Powers of matrices and generalized eigenspaces},
author = {Zur Izhakian and Louis Rowen},
journal= {arXiv preprint arXiv:1008.0023},
year = {2010}
}
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21 pages