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Instability of the Sherman-Morrison formula and stabilization by
iterative refinement
Behnam Hashemi, Yuji Nakatsukasa
Paper
Details
#ShermanMorrisonFormula #IterativeRefinement #NumericalLinearAlgebra
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Instability of Sherman-Morrison Formula Fixed by Iterative Refinement
Study finds Sherman‑Morrison loses backward stability when condition numbers of A and A+uvᵀ approach ε_M⁻¹, but a few iterative‑refinement steps restore it. Read more: getnews.me/instability-of-sherman-m... #numericalanalysis #iterativerefinement
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