A criterion for the existence of common invariant subspaces of matrices
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Publication:1595115
DOI10.1016/S0024-3795(00)00237-8zbMath0971.15019WikidataQ128012323 ScholiaQ128012323MaRDI QIDQ1595115
Publication date: 31 January 2001
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Related Items (14)
Higher-distance commuting varieties ⋮ On maps which preserve semipositivity and quantifier elimination theory for real numbers ⋮ Generalized Shemesh criterion, common invariant subspaces and irreducible completely positive superoperators ⋮ Diagonalization of matrices over the domain of principal ideals with minimal polynomial \(m(\lambda )=(\lambda -\alpha )(\lambda -\beta)\), \(\alpha\neq\beta\) ⋮ Simultaneous reduction of matrices in the presence of a nonderogatory matrix ⋮ Ascending chains of ideals in the polynomial ring ⋮ Common invariant subspace and commuting matrices ⋮ Quantifier elimination theory and maps which preserve semipositivity ⋮ On the existence of a common eigenvector for all matrices in the commutant of a single matrix ⋮ Common non-trivial invariant closed cones for commuting contractions ⋮ On matrices with common invariant cones with applications in neural and gene networks ⋮ Geometric Approaches to State Feedback Control for Continuous and Switched Linear Systems ⋮ An algorithmic approach to simultaneous triangularization ⋮ The common invariant subspace problem: an approach via Gröbner bases
Cites Work
- Common eigenvectors of two matrices
- Quasi-positive definite operators and matrices
- Common invariant subspaces of two matrices
- Irreducible positive linear maps on operator algebras
- Nullspaces of matrices and their compounds
- Analysis of continuous-time switching networks
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