A criterion for the existence of common invariant subspaces of matrices

@article{Tsatsomeros2001ACF,
  title={A criterion for the existence of common invariant subspaces of matrices},
  author={M. Tsatsomeros},
  journal={Linear Algebra and its Applications},
  year={2001},
  volume={322},
  pages={51-59}
}
  • M. Tsatsomeros
  • Published 2001
  • Mathematics
  • Linear Algebra and its Applications
It is shown that square matrices A and B have a common invariant subspace W of dimension k > 1 if and only if for some scalar s, A C sI and B C sI are invertible and their kth compounds have a common eigenvector, which is a Grassmann representative for W .T he applicability of this criterion and its ability to yield a basis for the common invariant subspace are investigated. © 2001 Elsevier Science Inc. All rights reserved. 
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