Linear Algebra and Its Applications
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.
Rodman, L., Seyalioglu, H., & Spitkovsky, I. M. (2010). On common invariant cones for families of matrices. Linear Algebra and its Applications, 432(4), 911-926.