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arXiv · 1008.0023

Supertropical matrix algebra III: Powers of matrices and generalized eigenspaces

Zur Izhakian·Louis Rowen
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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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Zur Izhakian, Louis Rowen. 2010-07-30. Supertropical matrix algebra III: Powers of matrices and generalized eigenspaces. https://arxiv.org/abs/1008.0023

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