(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2010) Izhakian, Zur; Rowen, Louis
We investigate powers of supertropical matrices, with special attention to the role of the co-
e±cients 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.
