Using flexible points in a developing simulation of selective dissolution in alloys. - Joseph C. Carnahan; Steven A. Policastro; Erin C. Carson; Paul F. Reynolds Jr.; Robert G. Kelly (WSC, 2007)

Exploiting Data Sparsity in Parallel Matrix Powers Computations. - Nicholas Knight; Erin C. Carson; James Demmel (PPAM (1), 2013)

Avoiding Communication in Nonsymmetric Lanczos-Based Krylov Subspace Methods. - Erin C. Carson; Nicholas Knight; James Demmel (SIAM J. Sci. Comput., 2013)

s-Step Krylov Subspace Methods as Bottom Solvers for Geometric Multigrid. - Samuel Williams 001; Mike Lijewski; Ann S. Almgren; Brian van Straalen; Erin C. Carson; Nicholas Knight; James Demmel (IPDPS, 2014)

Tradeoffs between synchronization, communication, and computation in parallel linear algebra computations. - Edgar Solomonik; Erin C. Carson; Nicholas Knight; James Demmel (SPAA, 2014)

Communication lower bounds and optimal algorithms for numerical linear algebra. - Grey Ballard; Erin C. Carson; James Demmel; Mark Hoemmen; Nicholas Knight; Oded Schwartz (Acta Numer., 2014)

Making tech more inclusive: an interview with Ashe Dryden. - Erin C. Carson (XRDS, 2014)

A Residual Replacement Strategy for Improving the Maximum Attainable Accuracy of s-Step Krylov Subspace Methods. - Erin C. Carson; James Demmel (SIAM J. Matrix Anal. Appl., 2014)

Accuracy of the s-Step Lanczos Method for the Symmetric Eigenproblem in Finite Precision. - Erin C. Carson; James Weldon Demmel (SIAM J. Matrix Anal. Appl., 2015)

Communication-Avoiding Krylov Subspace Methods in Theory and Practice. - Erin C. Carson (2015)

Write-Avoiding Algorithms. - Erin C. Carson; James Demmel; Laura Grigori; Nicholas Knight; Penporn Koanantakool; Oded Schwartz; Harsha Vardhan Simhadri (IPDPS, 2016)

A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems. - Erin C. Carson; Nicholas J. Higham (SIAM J. Sci. Comput., 2017)

The Adaptive s-Step Conjugate Gradient Method. - Erin C. Carson (SIAM J. Matrix Anal. Appl., 2018)

Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions. - Erin C. Carson; Nicholas J. Higham (SIAM J. Sci. Comput., 2018)

The Numerical Stability Analysis of Pipelined Conjugate Gradient Methods: Historical Context and Methodology. - Erin C. Carson; Miroslav Rozlozník; Zdenek Strakos; Petr Tichý; Miroslav Tuma (SIAM J. Sci. Comput., 2018)

An Adaptive $s$-step Conjugate Gradient Algorithm with Dynamic Basis Updating. - Erin C. Carson (CoRR, 2019)

A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic. - Ahmad Abdelfattah; Hartwig Anzt; Erik G. Boman; Erin C. Carson; Terry Cojean; Jack J. Dongarra; Mark Gates; Thomas Grützmacher; Nicholas J. Higham; Xiaoye Sherry Li; Neil Lindquist; Yang Liu 179; et al. (CoRR, 2020)

An overview of block Gram-Schmidt methods and their stability properties. - Erin C. Carson; Kathryn Lund; Miroslav Rozlozník; Stephen J. Thomas (CoRR, 2020)

Three-Precision GMRES-Based Iterative Refinement for Least Squares Problems. - Erin C. Carson; Nicholas J. Higham; Srikara Pranesh (SIAM J. Sci. Comput., 2020)

Predict-and-Recompute Conjugate Gradient Variants. - Tyler Chen; Erin C. Carson (SIAM J. Sci. Comput., 2020)

Mixed Precision s-step Lanczos and Conjugate Gradient Algorithms. - Erin C. Carson; Tomás Gergelits (CoRR, 2021)

A survey of numerical linear algebra methods utilizing mixed-precision arithmetic. - Ahmad Abdelfattah; Hartwig Anzt; Erik G. Boman; Erin C. Carson; Terry Cojean; Jack J. Dongarra; Alyson Fox; Mark Gates; Nicholas J. Higham; Xiaoye S. Li; Jennifer A. Loe; Piotr Luszczek; et al. (Int. J. High Perform. Comput. Appl., 2021)

The Stability of Block Variants of Classical Gram-Schmidt. - Erin C. Carson; Kathryn Lund; Miroslav Rozlozník (SIAM J. Matrix Anal. Appl., 2021)

Mixed Precision $s$-step Conjugate Gradient with Residual Replacement on GPUs. - Ichitaro Yamazaki; Erin C. Carson; Brian Kelley (IPDPS, 2022)

Mixed Precision GMRES-based Iterative Refinement with Recycling. - Eda Oktay; Erin C. Carson (CoRR, 2022)

Post-Modern GMRES. - Stephen J. Thomas; Erin C. Carson; Miro Rozlozník; Arielle Carr; Kasia Swirydowicz (CoRR, 2022)

Using Mixed Precision in Low-Synchronization Reorthogonalized Block Classical Gram-Schmidt. - Eda Oktay; Erin C. Carson (CoRR, 2022)

70 years of Krylov subspace methods: The journey continues. - Erin C. Carson; Jörg Liesen; Zdenek Strakos (CoRR, 2022)

Mixed precision s-step Lanczos and conjugate gradient algorithms. - Erin C. Carson; Tomás Gergelits; Ichitaro Yamazaki (Numer. Linear Algebra Appl., 2022)

Multistage mixed precision iterative refinement. - Eda Oktay; Erin C. Carson (Numer. Linear Algebra Appl., 2022)

The stability of split-preconditioned FGMRES in four precisions. - Erin C. Carson; Ieva Dauzickaite (CoRR, 2023)

Mixed Precision Iterative Refinement with Adaptive Precision Sparse Approximate Inverse Preconditioning. - Noaman Khan; Erin C. Carson (CoRR, 2023)

Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning. - Erin C. Carson; Noaman Khan (SIAM J. Sci. Comput., 2023)

Mixed Precision FGMRES-Based Iterative Refinement for Weighted Least Squares. - Erin C. Carson; Eda Oktay (CoRR, 2024)

On the loss of orthogonality in low-synchronization variants of reorthogonalized block classical Gram-Schmidt. - Erin C. Carson; Kathryn Lund; Yuxin Ma; Eda Oktay (CoRR, 2024)

On the backward stability of s-step GMRES. - Erin C. Carson; Yuxin Ma (CoRR, 2024)

The Detection and Correction of Silent Errors in Pipelined Krylov Subspace Methods. - Erin Claire Carson; Jakub Hercík (CoRR, 2024)

Mixed precision sketching for least-squares problems and its application in GMRES-based iterative refinement. - Erin C. Carson; Ieva Dauzickaite (CoRR, 2024)

A stable one-synchronization variant of reorthogonalized block classical Gram-Schmidt. - Erin C. Carson; Yuxin Ma (CoRR, 2024)

Single-Pass Nyström Approximation in Mixed Precision. - Erin C. Carson; Ieva Dauzickaite (SIAM J. Matrix Anal. Appl., 2024)

Iterated Gauss-Seidel GMRES. - Stephen J. Thomas; Erin C. Carson; Miroslav Rozlozník; Arielle Carr; Katarzyna Swirydowicz (SIAM J. Sci. Comput., 2024)

The Effect of Approximate Coarsest-Level Solves on the Convergence of Multigrid V-Cycle Methods. - Petr Vacek; Erin C. Carson; Kirk M. Soodhalter (SIAM J. Sci. Comput., 2024)

Mixed precision Rayleigh quotient iteration for total least squares problems. - Eda Oktay; Erin Claire Carson (Numer. Algorithms, 2024)

A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems. - Erin Claire Carson; Ieva Dauzickaite (SIAM J. Matrix Anal. Appl., 2025)

Reorthogonalized Pythagorean Variants of Block Classical Gram-Schmidt. - Erin C. Carson; Kathryn Lund; Yuxin Ma; Eda Oktay (SIAM J. Matrix Anal. Appl., 2025)

Mixed Precision HODLR Matrices. - Erin C. Carson; Xinye Chen; Xiaobo Liu (SIAM J. Sci. Comput., 2025)

On the numerical stability of sketched GMRES. - Liam Burke 003; Erin C. Carson; Yuxin Ma (CoRR, 2025)