Answers are grounded in this paper and cite their sources.
This analysis presents conditions for joint spectrum behavior in matrix tuples, indicating potential for invariant subspace existence.
If a tuple of matrices has a common invariant subspace, its projective joint spectrum has an algebraic component. In general, the converse is not true, and there might be algebraic components in the projective joint spectrum without corresponding common invariant subspaces. In this paper we give necessary and sufficient conditions for the occurrence of such correspondence.
No takes yet. Share an insight, caveat, or question.
Stessin et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: