35 citations · 66 across the 16 of their papers we have counts for
6 papers · 1 filter
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…
Single-pass Nyström approximation in mixed precision
Erin Carson, Ieva Daužickaitė
Low rank matrix approximations appear in a number of scientific computing applications. We consider the Nyström method for approximating a positive semidefinite matrix . In the…
Iterated Gauss-Seidel GMRES
Stephen Thomas, Erin Carson, Miro Rozložník +2
The GMRES algorithm of Saad and Schultz (1986) is an iterative method for approximately solving linear systems , with initial guess and residual ${\bf…
Mixed Precision GMRES-based Iterative Refinement with Recycling
Eda Oktay, Erin Carson
With the emergence of mixed precision capabilities in hardware, iterative refinement schemes for solving linear systems have recently been revisited and reanalyzed in the co…
Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning
Erin Carson, Noaman Khan
With the commercial availability of mixed precision hardware, mixed precision GMRES-based iterative refinement schemes have emerged as popular approaches for solving sparse linear…