Invariant subspace perturbations related to defective eigenvalues of Δ-Hermitian and Hamiltonian matrices.

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Bibliographic Details
Title: Invariant subspace perturbations related to defective eigenvalues of Δ-Hermitian and Hamiltonian matrices.
Authors: Xu, Hongguo1 (AUTHOR) feng@ku.edu
Source: Linear Algebra & its Applications. Jun2026, Vol. 738, p45-87. 43p.
Subjects: Invariant subspaces, Eigenvalues, Eigenvectors, Eigenfunctions, Perturbation theory, Hamiltonian systems
Abstract: Structured perturbation results for invariant subspaces of Δ-Hermitian and Hamiltonian matrices are provided. The invariant subspaces under consideration are associated with the eigenvalues perturbed from a single defective eigenvalue. The results show how the original eigenvectors and generalized eigenvectors are involved in composing such perturbed invariant subspaces and eigenvectors. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:Structured perturbation results for invariant subspaces of Δ-Hermitian and Hamiltonian matrices are provided. The invariant subspaces under consideration are associated with the eigenvalues perturbed from a single defective eigenvalue. The results show how the original eigenvectors and generalized eigenvectors are involved in composing such perturbed invariant subspaces and eigenvectors. [ABSTRACT FROM AUTHOR]
ISSN:00243795
DOI:10.1016/j.laa.2026.02.031