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Combined perturbation bounds for eigenstructure of Hermitian matrices and singular structure of general matrices
Published: September 12, 2025 |
arXiv ID: 2509.10688v1
By: Xiao Shan Chen, Hongguo Xu
Potential Business Impact:
Finds how matrix changes affect important numbers.
Business Areas:
Embedded Systems
Hardware, Science and Engineering, Software
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.
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Country of Origin
🇺🇸
United States
Page Count
18 pages
Category
Mathematics:
Numerical Analysis (Math)