35 citations · 66 across the 16 of their papers we have counts for
15 papers · 1 filter
Mixed Precision Iterative Refinement with Adaptive Precision Sparse Approximate Inverse Preconditioning
Noaman Khan, Erin Carson
Hardware trends have motivated the development of mixed precision algo-rithms in numerical linear algebra, which aim to decrease runtime while maintaining acceptable accuracy. One…
The effect of approximate coarsest-level solves on the convergence of multigrid V-cycle methods
Petr Vacek, Erin Carson, Kirk M. Soodhalter
The multigrid V-cycle method is a popular method for solving systems of linear equations. It computes an approximate solution by using smoothing on fine levels and solving a system…
Mixed Precision Rayleigh Quotient Iteration for Total Least Squares Problems
Eda Oktay, Erin Carson
With the recent emergence of mixed precision hardware, there has been a renewed interest in its use for solving numerical linear algebra problems fast and accurately. The solution…
The stability of split-preconditioned FGMRES in four precisions
Erin Carson, Ieva Daužickaitė
We consider the split-preconditioned FGMRES method in a mixed precision framework, in which four potentially different precisions can be used for computations with the coefficient…
Towards understanding CG and GMRES through examples
Erin Carson, Jörg Liesen, Zdeněk Strakoš
When the CG method for solving linear algebraic systems was formulated about 70 years ago by Lanczos, Hestenes, and Stiefel, it was considered an iterative process possessing a mat…
Using Mixed Precision in Low-Synchronization Reorthogonalized Block Classical Gram-Schmidt
Eda Oktay, Erin Carson
Using lower precision in algorithms can be beneficial in terms of reducing both computation and communication costs. Motivated by this, we aim to further the state-of-the-art in de…