Randomized Kaczmarz methods fail to be forward stable but can be stabilized by iterative refinement to recover high-accuracy solutions for ill-conditioned linear systems.
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Numerical Instabilities in the Kaczmarz Method and Stabilization by Iterative Refinement
Randomized Kaczmarz methods fail to be forward stable but can be stabilized by iterative refinement to recover high-accuracy solutions for ill-conditioned linear systems.