"On common invariant cones for families of matrices" by Leiba Rodman, Ilya M. Spitkovsky et al.
 

Document Type

Article

Department/Program

Mathematics

Journal Title

Linear Algebra and Its Applications

Pub Date

2010

Volume

432

Issue

4

First Page

911

Abstract

The existence and construction of common invariant cones for families of real matrices is considered. The complete results are obtained for 2 x 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. (C) 2009 Elsevier Inc. All rights reserved.

DOI

10.1016/j.laa.2009.10.004

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