3 papers
math.NA2026
Invariant subspace perturbations related to defective eigenvalues of -Hermitian and Hamiltonian matrices
Hongguo Xu
Structured perturbation results for invariant subspaces of -Hermitian and Hamiltonian matrices are provided. The invariant subspaces under consideration are associated with the…
math.NA2025
Combined perturbation bounds for eigenstructure of Hermitian matrices and singular structure of general matrices
Xiao Shan Chen, Hongguo Xu
Combined perturbation bounds are presented for eigenvalues and eigenspaces of Hermitian matrices or singular values and singular subspaces of general matrices. The bounds are deriv…
math.NA2024
Invariant subspace perturbation of a matrix with Jordan blocks
Hongguo Xu
We investigate how invariant subspaces corresponding to a single eigenvalue will change when a matrix is perturbed. We focus on the invariant subspaces corresponding to an eigenval…