Combined perturbation bounds for eigenstructure of Hermitian matrices and singular structure of general matrices
Numerical Analysis
2025-09-16 v1 Numerical Analysis
Abstract
Combined perturbation bounds are presented for eigenvalues and eigenspaces of Hermitian matrices or singular values and singular subspaces of general matrices. The bounds are derived based on the smooth decompositions and elementary calculus techniques.
Keywords
Cite
@article{arxiv.2509.10688,
title = {Combined perturbation bounds for eigenstructure of Hermitian matrices and singular structure of general matrices},
author = {Xiao Shan Chen and Hongguo Xu},
journal= {arXiv preprint arXiv:2509.10688},
year = {2025}
}