Supertropical Matrix Algebra III : Powers of Matrices and Generalized Eigenspaces
MFO Scientific ProgramOWLF 2010
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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.