On common invariant cones for families of matrices

Leiba Rodman, Hakan Seyalioglu, Ilya M. Spitkovsky

Research output: Contribution to journalArticlepeer-review


The existence and construction of common invariant cones for families of real matrices is considered. The complete results are obtained for 2 × 2 matrices (with no additional restrictions) and for families of simultaneously diagonalizable matrices of any size. Families of matrices with a shared dominant eigenvector are considered under some additional conditions.

Original languageEnglish (US)
Pages (from-to)911-926
Number of pages16
JournalLinear Algebra and Its Applications
Issue number4
StatePublished - Feb 1 2010


  • Common invariant cones
  • Invariant cones
  • Vandergraft matrices

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


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