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

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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]
Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 192379357
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Invariant subspace perturbations related to defective eigenvalues of Δ-Hermitian and Hamiltonian matrices.
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  Data: <searchLink fieldCode="AR" term="%22Xu%2C+Hongguo%22">Xu, Hongguo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> feng@ku.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Linear+Algebra+%26+its+Applications%22">Linear Algebra & its Applications</searchLink>. Jun2026, Vol. 738, p45-87. 43p.
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  Data: <searchLink fieldCode="DE" term="%22Invariant+subspaces%22">Invariant subspaces</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenvalues%22">Eigenvalues</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenvectors%22">Eigenvectors</searchLink><br /><searchLink fieldCode="DE" term="%22Eigenfunctions%22">Eigenfunctions</searchLink><br /><searchLink fieldCode="DE" term="%22Perturbation+theory%22">Perturbation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Hamiltonian+systems%22">Hamiltonian systems</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Linear Algebra & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1016/j.laa.2026.02.031
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 43
        StartPage: 45
    Subjects:
      – SubjectFull: Invariant subspaces
        Type: general
      – SubjectFull: Eigenvalues
        Type: general
      – SubjectFull: Eigenvectors
        Type: general
      – SubjectFull: Eigenfunctions
        Type: general
      – SubjectFull: Perturbation theory
        Type: general
      – SubjectFull: Hamiltonian systems
        Type: general
    Titles:
      – TitleFull: Invariant subspace perturbations related to defective eigenvalues of Δ-Hermitian and Hamiltonian matrices.
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            NameFull: Xu, Hongguo
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            – D: 01
              M: 06
              Text: Jun2026
              Type: published
              Y: 2026
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              Value: 738
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            – TitleFull: Linear Algebra & its Applications
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