On common invariant cones for families of matrices

Details On common invariant cones for families of matrices On common invariant cones for families of matrices

2009-03-03

arxiv.org/abs/0903.0444v1

Mathematics

Rings and Algebras

Scientific paper

The existence and construction of common invariant cones for families of real
matrices is considered. The complete results are obtained for 2x2 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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