Invariant Synchrony Subspaces of Sets of Matrices
نویسندگان
چکیده
منابع مشابه
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Hamiltonian matrices with respect to a nondegenerate skewsymmetric or skewhermitian indefinite inner product in finite dimensional real, complex, or quaternion vector spaces are studied. Subspaces that are simultaneously invariant for the matrices and neutral in the indefinite inner product are of special interest. The dimension of maximal (by inclusion) such subspaces is identified in terms of...
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Hamiltonian matrices with respect to a nondegenerate skewsymmetric or skewhermitian indefinite inner product in finite dimensional real, complex, or quaternion vector spaces are studied. Subspaces that are simultaneously invariant for the matrices and neutral in the indefinite inner product are of special interest. The dimension of maximal (by inclusion) such subspaces is identified in terms of...
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Given a nonsymmetric matrix A, we investigate the effect of perturbations on an invariant subspace of A. The result derived in this paper is less restrictive on the norm of the perturbation and provides a potentially tighter bound compared to Stewart’s classical result. Moreover, we provide norm estimates for the remainder terms in well-known perturbation expansions for invariant subspaces, eig...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2020
ISSN: 1536-0040
DOI: 10.1137/19m1283495