On common invariant cones for families of matrices |
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| Authors: | Leiba Rodman Hakan Seyalioglu |
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| Affiliation: | a Department of Mathematics, College of William and Mary, Williamsburg, VA 23187-8795, USA
b Department of Mathematics, UCLA, Los Angeles, CA 90024, USA |
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| 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. |
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| Keywords: | 15A48 |
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