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math.NA2025
A Note on the Stability of the Sherman-Morrison-Woodbury Formula
Linkai Ma, Christos Boutsikas, Mehrdad Ghadiri +1
We study the numerical stability of the Sherman-Morrison-Woodbury (SMW) identity. Let and assume and both have full-column rank. We explore error bounds for…
math.NA2023
Small singular values can increase in lower precision
Christos Boutsikas, Petros Drineas, Ilse C. F. Ipsen
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…