On common invariant cones for families of matrices

Leiba Rodman, Hakan Seyalioglu, Ilya Spitkovsky

Research output: Contribution to journalArticle

Abstract

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
Volume432
Issue number4
DOIs
StatePublished - Feb 1 2010

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Invariant Cone
Cones
Eigenvalues and eigenfunctions
Eigenvector
Restriction
Family

Keywords

  • Common invariant cones
  • Invariant cones
  • Vandergraft matrices

ASJC Scopus subject areas

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

Cite this

On common invariant cones for families of matrices. / Rodman, Leiba; Seyalioglu, Hakan; Spitkovsky, Ilya.

In: Linear Algebra and Its Applications, Vol. 432, No. 4, 01.02.2010, p. 911-926.

Research output: Contribution to journalArticle

Rodman, Leiba ; Seyalioglu, Hakan ; Spitkovsky, Ilya. / On common invariant cones for families of matrices. In: Linear Algebra and Its Applications. 2010 ; Vol. 432, No. 4. pp. 911-926.
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