Small singular values can increase in lower precision

C Boutsikas, P Drineas, ICF Ipsen - SIAM Journal on Matrix Analysis and …, 2024 - SIAM
We perturb a real matrix of full column rank, and derive lower bounds for the smallest
singular values of the perturbed matrix, in terms of normwise absolute perturbations. Our …

[PDF][PDF] Mixed Precision Numerical Linear Algebra

E Carson - 2023 - osti.gov
In the Q1 report we stated that we would prioritize and complete at least one of these topics.
Given our achievements above, we view this project as successful. In addition, a number of …