3 papers
math.NA2026
Balancing Inexactness in Mixed Precision Matrix Computations
Erin Claire Carson
Support for arithmetic in multiple precisions and number formats is becoming increasingly common in emerging high-performance architectures. From a computational scientist's perspe…
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…