Uniform diagonal repair and stability of Schur–Horn fibers
Year: 2026
Type: preprint
Abstract: A quantitative diagonal repair theorem for real symmetric and complex Hermitian matrices gives two distance bounds for the same repair at any prescribed base point. The theorem covers repeated spectra and boundary faces and yields explicit two-sided Hausdorff bounds for the full Schur–Horn fibers. The optimal dimension dependence of the spectral Hölder coefficient remains open.
Author: Xu, Zihuan
Institution: Capital Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225813842
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