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On common invariant cones for families of matrices
Rodman, Leiba Spitkovsky, Ilya M. Seyalioglu, Hakan
Rodman, Leiba
Spitkovsky, Ilya M.
Seyalioglu, Hakan
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.
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2010-01-01
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Mathematics
DOI
10.1016/j.laa.2009.10.004