Invariant subspace perturbations related to defective eigenvalues of $Δ$-Hermitian and Hamiltonian matrices
By: Hongguo Xu
Potential Business Impact:
Finds hidden patterns in math problems.
Structured perturbation results for invariant subspaces of $\Delta$-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.
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