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

Key Points

• The research demonstrates how perturbations affect invariant subspaces constituted from defective eigenvalues.
• The findings involve eigenvalues, eigenvectors, and their generalized forms in constructing perturbed invariant subspaces.
• The analysis focuses on Δ-Hermitian and Hamiltonian matrices, enriching the understanding of eigenstructure perturbations.
• This exploration highlights the significance of original eigenvectors in forming perturbed eigenvectors under the influence of defects.