2010/07/30 by Zur Izhakian, Izhakian, Zur, Louis Rowen +1
Computer Science · Engineering · Mathematics · #14T05 #15A09 #15A15 #65F15 #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Matrix Theory and Algorithms #Optical Network Technologies #Primary: 15A03 #Rings and Algebras (math.RA) #Secondary: 16Y60 #math.AC #math.RA #msc:14T05 #msc:15A03 #msc:15A09 #msc:15A15 #msc:16Y60 #msc:65F15
paper · pdf · doi:10.48550/arxiv.1008.0023
21 pages
arxiv created 2010/07/30 · openalex publication_date 2010/07/30 · arxiv updated 2010/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.