Combined perturbation bounds for eigenstructure of Hermitian matrices and singular structure of general matrices
Xiao Shan Chen, Hongguo Xu
公開日: 2025/9/12
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.