Erin Carson

66 papers A 3B 1Journal 61
YearRankTypeTitle / Venue / Authors
2026 J jnl
Estimating condition number with Graph Neural Networks.
CoRR
Erin Carson, Xinye Chen
2026 J jnl
Exploiting Inexact Computations in Multilevel Monte Carlo and Other Sampling Methods.
SIAM J. Sci. Comput.
Josef Martínek, Erin Carson, Robert Scheichl
2026 J jnl
LLM-ABBA: Understanding Time Series via Symbolic Approximation.
IEEE Trans. Signal Process.
Xinye Chen, Erin Carson, Cheng Kang
2026 J jnl
Mixed precision thin SVD algorithms based on the Gram matrix.
CoRR
Erin Carson, Yuxin Ma, Meiyue Shao
2026 J jnl
Precision Autotuning for Linear Solvers via Reinforcement Learning.
CoRR
Erin Carson, Xinye Chen
2025 J jnl
A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems.
SIAM J. Matrix Anal. Appl.
Erin Carson, Ieva Dauzickaite
2025 J jnl
A Stable One-Synchronization Variant of Reorthogonalized Block Classical Gram-Schmidt.
SIAM J. Sci. Comput.
Erin Carson, Yuxin Ma
2025 J jnl
Exploiting Inexact Computations in Multilevel Sampling Methods.
CoRR
Josef Martínek, Erin Carson, Robert Scheichl
2025 J jnl
Forward and backward error bounds for a mixed precision preconditioned conjugate gradient algorithm.
CoRR
Thomas Bake, Erin Carson, Yuxin Ma
2025 J jnl
Mixed Precision HODLR Matrices.
SIAM J. Sci. Comput.
Erin Carson, Xinye Chen, Xiaobo Liu
2025 J jnl
Mixed Precision Sketching for Least-Squares Problems and its Application in GMRES-Based Iterative Refinement.
SIAM J. Matrix Anal. Appl.
Erin Carson, Ieva Dauzickaite
2025 J jnl
Mixed precision iterative refinement with adaptive precision sparse approximate inverse preconditioning.
Eng. Comput.
Noaman Khan, Erin Carson
2025 J jnl
Mixed precision multigrid with smoothing based on incomplete Cholesky factorization.
CoRR
Petr Vacek, Hartwig Anzt, Erin Carson, Nils Kohl, Ulrich Rüde, Yu-Hsiang Tsai
2025 J jnl
On the Backward Stability of S-Step GMRES.
SIAM J. Matrix Anal. Appl.
Erin Carson, Yuxin Ma
2025 J jnl
On the numerical stability of sketched GMRES.
CoRR
Liam Burke, Erin Carson, Yuxin Ma
2025 J jnl
Pychop: Emulating Low-Precision Arithmetic in Numerical Methods and Neural Networks.
CoRR
Erin Carson, Xinye Chen
2025 J jnl
Reorthogonalized Pythagorean Variants of Block Classical Gram-Schmidt.
SIAM J. Matrix Anal. Appl.
Erin Carson, Kathryn Lund, Yuxin Ma, Eda Oktay
2025 J jnl
The Performance of Low-Synchronization Variants of Reorthogonalized Block Classical Gram-Schmidt.
CoRR
Erin Carson, Yuxin Ma
2024 J jnl
A comparison of mixed precision iterative refinement approaches for least-squares problems.
CoRR
Erin Carson, Ieva Dauzickaite
2024 J jnl
A stable one-synchronization variant of reorthogonalized block classical Gram-Schmidt.
CoRR
Erin Carson, Yuxin Ma
2024 J jnl
Computing k-means in mixed precision.
CoRR
Erin Carson, Xinye Chen, Xiaobo Liu
2024 J jnl
Iterated Gauss-Seidel GMRES.
SIAM J. Sci. Comput.
Stephen J. Thomas, Erin Carson, Miroslav Rozlozník, Arielle Carr, Katarzyna Swirydowicz
2024 J jnl
LLM-ABBA: Understanding time series via symbolic approximation.
CoRR
Erin Carson, Xinye Chen, Cheng Kang
2024 J jnl
Mixed Precision FGMRES-Based Iterative Refinement for Weighted Least Squares.
CoRR
Erin Carson, Eda Oktay
2024 J jnl
Mixed precision HODLR matrices.
CoRR
Erin Carson, Xinye Chen, Xiaobo Liu
2024 J jnl
Mixed precision Rayleigh quotient iteration for total least squares problems.
Numer. Algorithms
Eda Oktay, Erin Carson
2024 J jnl
Mixed precision sketching for least-squares problems and its application in GMRES-based iterative refinement.
CoRR
Erin Carson, Ieva Dauzickaite
2024 J jnl
On the backward stability of s-step GMRES.
CoRR
Erin Carson, Yuxin Ma
2024 J jnl
On the loss of orthogonality in low-synchronization variants of reorthogonalized block classical Gram-Schmidt.
CoRR
Erin Carson, Kathryn Lund, Yuxin Ma, Eda Oktay
2024 J jnl
Quantized symbolic time series approximation.
CoRR
Erin Carson, Xinye Chen, Cheng Kang
2024 J jnl
Reorthogonalized Pythagorean variants of block classical Gram-Schmidt.
CoRR
Erin Carson, Kathryn Lund, Yuxin Ma, Eda Oktay
2024 J jnl
Single-Pass Nyström Approximation in Mixed Precision.
SIAM J. Matrix Anal. Appl.
Erin Carson, Ieva Dauzickaite
2024 J jnl
The Effect of Approximate Coarsest-Level Solves on the Convergence of Multigrid V-Cycle Methods.
SIAM J. Sci. Comput.
Petr Vacek, Erin Carson, Kirk M. Soodhalter
2023 J jnl
Mixed Precision Iterative Refinement with Adaptive Precision Sparse Approximate Inverse Preconditioning.
CoRR
Noaman Khan, Erin Carson
2023 J jnl
Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning.
SIAM J. Sci. Comput.
Erin Carson, Noaman Khan
2023 J jnl
Mixed Precision Rayleigh Quotient Iteration for Total Least Squares Problems.
CoRR
Eda Oktay, Erin Carson
2023 J jnl
The effect of approximate coarsest-level solves on the convergence of multigrid V-cycle methods.
CoRR
Petr Vacek, Erin Carson, Kirk M. Soodhalter
2023 J jnl
The stability of split-preconditioned FGMRES in four precisions.
CoRR
Erin Carson, Ieva Dauzickaite
2022 J jnl
70 years of Krylov subspace methods: The journey continues.
CoRR
Erin Carson, Jörg Liesen, Zdenek Strakos
2022 A conf
Mixed Precision $s$-step Conjugate Gradient with Residual Replacement on GPUs.
IPDPS
Ichitaro Yamazaki, Erin Carson, Brian Michael Kelley
2022 J jnl
Mixed Precision GMRES-based Iterative Refinement with Recycling.
CoRR
Eda Oktay, Erin Carson
2022 J jnl
Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning.
CoRR
Erin Carson, Noaman Khan
2022 J jnl
Mixed precision s-step Lanczos and conjugate gradient algorithms.
Numer. Linear Algebra Appl.
Erin Carson, Tomás Gergelits, Ichitaro Yamazaki
2022 J jnl
Multistage mixed precision iterative refinement.
Numer. Linear Algebra Appl.
Eda Oktay, Erin Carson
2022 J jnl
Post-Modern GMRES.
CoRR
Stephen J. Thomas, Erin Carson, Miro Rozlozník, Arielle Carr, Kasia Swirydowicz
2022 J jnl
Single-pass Nyström approximation in mixed precision.
CoRR
Erin Carson, Ieva Dauzickaite
2022 J jnl
Using Mixed Precision in Low-Synchronization Reorthogonalized Block Classical Gram-Schmidt.
CoRR
Eda Oktay, Erin Carson
2021 J jnl
A survey of numerical linear algebra methods utilizing mixed-precision arithmetic.
Int. J. High Perform. Comput. Appl.
Ahmad Abdelfattah, Hartwig Anzt, Erik G. Boman, Erin Carson, Terry Cojean, Jack J. Dongarra, Alyson Fox, Mark Gates, Nicholas J. Higham, Xiaoye S. Li, Jennifer A. Loe, Piotr Luszczek, Srikara Pranesh, Siva Rajamanickam, Tobias Ribizel, Barry F. Smith, Kasia Swirydowicz, Stephen J. Thomas, Stanimire Tomov, Yaohung M. Tsai, Ulrike Meier Yang
2021 J jnl
Mixed Precision s-step Lanczos and Conjugate Gradient Algorithms.
CoRR
Erin Carson, Tomás Gergelits
2021 J jnl
Multistage Mixed Precision Iterative Refinement.
CoRR
Eda Oktay, Erin Carson
2021 J jnl
The Stability of Block Variants of Classical Gram-Schmidt.
SIAM J. Matrix Anal. Appl.
Erin Carson, Kathryn Lund, Miroslav Rozlozník
2020 J jnl
A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic.
CoRR
Ahmad Abdelfattah, Hartwig Anzt, Erik G. Boman, Erin Carson, Terry Cojean, Jack J. Dongarra, Mark Gates, Thomas Grützmacher, Nicholas J. Higham, Xiaoye Sherry Li, Neil Lindquist, Yang Liu, Jennifer A. Loe, Piotr Luszczek, Pratik Nayak, Srikara Pranesh, Sivasankaran Rajamanickam, Tobias Ribizel, Barry Smith, Kasia Swirydowicz, Stephen J. Thomas, Stanimire Tomov, Yaohung M. Tsai, Ichitaro Yamazaki, Ulrike Meier Yang
2020 J jnl
An overview of block Gram-Schmidt methods and their stability properties.
CoRR
Erin Carson, Kathryn Lund, Miroslav Rozlozník, Stephen J. Thomas
2020 J jnl
Predict-and-Recompute Conjugate Gradient Variants.
SIAM J. Sci. Comput.
Tyler Chen, Erin Carson
2020 J jnl
Three-Precision GMRES-Based Iterative Refinement for Least Squares Problems.
SIAM J. Sci. Comput.
Erin Carson, Nicholas J. Higham, Srikara Pranesh
2018 J jnl
Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions.
SIAM J. Sci. Comput.
Erin Carson, Nicholas J. Higham
2017 J jnl
A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems.
SIAM J. Sci. Comput.
Erin Carson, Nicholas J. Higham
2017 J jnl
The Adaptive s-step Conjugate Gradient Method.
CoRR
Erin Carson
2016 A conf
Write-Avoiding Algorithms.
IPDPS
Erin Carson, James Demmel, Laura Grigori, Nicholas Knight, Penporn Koanantakool, Oded Schwartz, Harsha Vardhan Simhadri
2015 J jnl
Accuracy of the s-Step Lanczos Method for the Symmetric Eigenproblem in Finite Precision.
SIAM J. Matrix Anal. Appl.
Erin Carson, James Weldon Demmel
2015 — —
Communication-Avoiding Krylov Subspace Methods in Theory and Practice.
Erin Carson
2014 J jnl
A Residual Replacement Strategy for Improving the Maximum Attainable Accuracy of s-Step Krylov Subspace Methods.
SIAM J. Matrix Anal. Appl.
Erin Carson, James Demmel
2014 J jnl
Communication lower bounds and optimal algorithms for numerical linear algebra.
Acta Numer.
Grey Ballard, Erin Carson, James Demmel, Mark Hoemmen, Nicholas Knight, Oded Schwartz
2014 J jnl
Making tech more inclusive: an interview with Ashe Dryden.
XRDS
Erin Carson
2014 B conf
Tradeoffs between synchronization, communication, and computation in parallel linear algebra computations.
SPAA
Edgar Solomonik, Erin Carson, Nicholas Knight, James Demmel
2014 A conf
s-Step Krylov Subspace Methods as Bottom Solvers for Geometric Multigrid.
IPDPS
Samuel Williams, Mike Lijewski, Ann S. Almgren, Brian van Straalen, Erin Carson, Nicholas Knight, James Demmel