On common invariant cones for families of matrices

Leiba Rodman; Hakan Seyalioglu; Ilya M. Spitkovsky

doi:10.1016/j.laa.2009.10.004

On common invariant cones for families of matrices

Leiba Rodman, Hakan Seyalioglu, Ilya M. Spitkovsky

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English (US)
Pages (from-to)	911-926
Number of pages	16
Journal	Linear Algebra and Its Applications
Volume	432
Issue number	4
DOIs	https://doi.org/10.1016/j.laa.2009.10.004
State	Published - Feb 1 2010

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

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10.1016/j.laa.2009.10.004

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title = "On common invariant cones for families of matrices",

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.",

keywords = "Common invariant cones, Invariant cones, Vandergraft matrices",

author = "Leiba Rodman and Hakan Seyalioglu and Spitkovsky, {Ilya M.}",

note = "Funding Information: Research of all authors was supported in part by NSF Grant DMS-0456625. Research of LR was supported in part also by a Summer Research Grant and by Plumeri Award from the College of William and Mary. ∗ Corresponding author. E-mail address: lxrodm@math.wm.edu (L. Rodman), hseyalioglu@ucla.edu (H. Seyalioglu), ilya@math.wm.edu, imspitkovsky@gmail.com (I.M. Spitkovsky).",

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AU - Rodman, Leiba

AU - Seyalioglu, Hakan

AU - Spitkovsky, Ilya M.

N1 - Funding Information: Research of all authors was supported in part by NSF Grant DMS-0456625. Research of LR was supported in part also by a Summer Research Grant and by Plumeri Award from the College of William and Mary. ∗ Corresponding author. E-mail address: lxrodm@math.wm.edu (L. Rodman), hseyalioglu@ucla.edu (H. Seyalioglu), ilya@math.wm.edu, imspitkovsky@gmail.com (I.M. Spitkovsky).

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N2 - 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.

AB - 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.

KW - Common invariant cones

KW - Invariant cones

KW - Vandergraft matrices

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JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

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On common invariant cones for families of matrices

Abstract

Keywords

ASJC Scopus subject areas

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