• Media type: E-Book
  • Title: Supertropical Matrix Algebra III : Powers of Matrices and Generalized Eigenspaces
  • Contributor: Izhakian, Zur [Author]; Rowen, Louis Halle [Author]
  • imprint: Oberwolfach: Math. Forschungsinst., 2010
  • Published in: Oberwolfach preprints ; 2010,20
  • Extent: Online-Ressource
  • Language: English
  • DOI: 10.14760/OWP-2010-20
  • Identifier:
  • Keywords: Tropical algebra ; powers of matrices ; nilpotent and ghostpotent matrices ; eigenspaces ; Jordan decomposition
  • Origination:
  • Footnote:
  • Description: 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.
  • Access State: Open Access