Exact Backward Error for Singular Subspaces and the Sharp Universal Stability Radius of the Positive Grassmannian

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Brad M Lindsey
DOI: 10.5281/zenodo.22248997
Cited by: 2
References: 1

Abstract

This record archives the paper "Exact Backward Error for Singular Subspaces and the Sharp Universal Stability Radius of the Positive Grassmannian" (B. M. Lindsey) together with its self-verifying reproduction packet. The paper settles the exact inverse (backward-error) question for right singular subspaces in the spectral norm: for a fixed rectangular matrix with singular gap g, the exact infimum of ||E||_2 required to rotate the top-k right singular subspace by a principal angle theta

Fields of Study & Subjects

Matrix Theory and Algorithms Advanced Optimization Algorithms Research Model Reduction and Neural Networks

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
2 September 2026
Language
EN
Document type
Preprint