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math.NA2024
Mixed precision sketching for least-squares problems and its application in GMRES-based iterative refinement
Erin Carson, Ieva Daužickaitė
Sketching-based preconditioners have been shown to accelerate the solution of dense least-squares problems with coefficient matrices having substantially more rows than columns. Th…
math.NA2024
The Detection and Correction of Silent Errors in Pipelined Krylov Subspace Methods
Erin Claire Carson, Jakub Hercík
As computational machines become larger and more complex, the probability of hardware failure rises. ``Silent errors'', or bit flips, may not be immediately apparent but can cause…
math.NA2024
A comparison of mixed precision iterative refinement approaches for least-squares problems
Erin Carson, Ieva Daužickaitė
Various approaches to iterative refinement (IR) for least-squares problems have been proposed in the literature and it may not be clear which approach is suitable for a given probl…