Erin C. Carson

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 27

Top Topics

Iterative Refinement

Top Venues

SIAM J. Sci. Comput.

SIAM J. Matrix Anal. Appl.

Publications

Erin C. Carson, Kathryn Lund, Yuxin Ma, Eda Oktay
Reorthogonalized Pythagorean variants of block classical Gram-Schmidt. CoRR (2024)
Stephen J. Thomas, Erin C. Carson, Miroslav Rozlozník, Arielle Carr, Katarzyna Swirydowicz
Iterated Gauss-Seidel GMRES. SIAM J. Sci. Comput. 46 (2) (2024)
Erin C. Carson, Ieva Dauzickaite
Single-Pass Nyström Approximation in Mixed Precision. SIAM J. Matrix Anal. Appl. 45 (3) (2024)
Erin C. Carson, Eda Oktay
Mixed Precision FGMRES-Based Iterative Refinement for Weighted Least Squares. CoRR (2024)
Erin C. Carson, Ieva Dauzickaite
A comparison of mixed precision iterative refinement approaches for least-squares problems. CoRR (2024)
Noaman Khan, Erin C. Carson
Mixed Precision Iterative Refinement with Adaptive Precision Sparse Approximate Inverse Preconditioning. CoRR (2023)
Erin C. Carson, Noaman Khan
Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning. SIAM J. Sci. Comput. 45 (3) (2023)
Eda Oktay, Erin C. Carson
Mixed Precision Rayleigh Quotient Iteration for Total Least Squares Problems. CoRR (2023)
Ichitaro Yamazaki, Erin C. Carson, Brian Kelley
Mixed Precision $s$-step Conjugate Gradient with Residual Replacement on GPUs. IPDPS (2022)
Stephen J. Thomas, Erin C. Carson, Miro Rozlozník, Arielle Carr, Kasia Swirydowicz
Post-Modern GMRES. CoRR (2022)
Eda Oktay, Erin C. Carson
Using Mixed Precision in Low-Synchronization Reorthogonalized Block Classical Gram-Schmidt. CoRR (2022)
Erin C. Carson, Tomás Gergelits, Ichitaro Yamazaki
Mixed precision s-step Lanczos and conjugate gradient algorithms. Numer. Linear Algebra Appl. 29 (3) (2022)
Erin C. Carson, Jörg Liesen, Zdenek Strakos
70 years of Krylov subspace methods: The journey continues. CoRR (2022)
Eda Oktay, Erin C. Carson
Multistage mixed precision iterative refinement. Numer. Linear Algebra Appl. 29 (4) (2022)
Erin C. Carson, Kathryn Lund, Miroslav Rozlozník
The Stability of Block Variants of Classical Gram-Schmidt. SIAM J. Matrix Anal. Appl. 42 (3) (2021)
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, Srikara Pranesh, Siva Rajamanickam, Tobias Ribizel, Barry F. Smith, Kasia Swirydowicz, Stephen J. Thomas, Stanimire Tomov, Yaohung M. Tsai, Ulrike Meier Yang
A survey of numerical linear algebra methods utilizing mixed-precision arithmetic. Int. J. High Perform. Comput. Appl. 35 (4) (2021)
Erin C. Carson, Nicholas J. Higham, Srikara Pranesh
Three-Precision GMRES-Based Iterative Refinement for Least Squares Problems. SIAM J. Sci. Comput. 42 (6) (2020)
Erin C. Carson, Kathryn Lund, Miroslav Rozlozník, Stephen J. Thomas
An overview of block Gram-Schmidt methods and their stability properties. CoRR (2020)
Tyler Chen, Erin C. Carson
Predict-and-Recompute Conjugate Gradient Variants. SIAM J. Sci. Comput. 42 (5) (2020)
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, 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
A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic. CoRR (2020)
Erin C. Carson
An Adaptive $s$-step Conjugate Gradient Algorithm with Dynamic Basis Updating. CoRR (2019)
Erin C. Carson
The Adaptive s-Step Conjugate Gradient Method. SIAM J. Matrix Anal. Appl. 39 (3) (2018)
Erin C. Carson, Nicholas J. Higham
Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions. SIAM J. Sci. Comput. 40 (2) (2018)
Erin C. Carson, Miroslav Rozlozník, Zdenek Strakos, Petr Tichý, Miroslav Tuma
The Numerical Stability Analysis of Pipelined Conjugate Gradient Methods: Historical Context and Methodology. SIAM J. Sci. Comput. 40 (5) (2018)
Erin C. Carson
The Adaptive s-step Conjugate Gradient Method. CoRR (2017)
Erin C. Carson, Nicholas J. Higham
A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems. SIAM J. Sci. Comput. 39 (6) (2017)
Erin C. Carson, James Demmel, Laura Grigori, Nicholas Knight, Penporn Koanantakool, Oded Schwartz, Harsha Vardhan Simhadri
Write-Avoiding Algorithms. IPDPS (2016)
Erin C. Carson, James Weldon Demmel
Accuracy of the s-Step Lanczos Method for the Symmetric Eigenproblem in Finite Precision. SIAM J. Matrix Anal. Appl. 36 (2) (2015)
Erin C. Carson
Making tech more inclusive: an interview with Ashe Dryden. XRDS 20 (4) (2014)
Erin C. Carson, James Demmel
A Residual Replacement Strategy for Improving the Maximum Attainable Accuracy of s-Step Krylov Subspace Methods. SIAM J. Matrix Anal. Appl. 35 (1) (2014)
Grey Ballard, Erin C. Carson, James Demmel, Mark Hoemmen, Nicholas Knight, Oded Schwartz
Communication lower bounds and optimal algorithms for numerical linear algebra. Acta Numer. 23 (2014)
Edgar Solomonik, Erin C. Carson, Nicholas Knight, James Demmel
Tradeoffs between synchronization, communication, and computation in parallel linear algebra computations. SPAA (2014)
Samuel Williams, Mike Lijewski, Ann S. Almgren, Brian van Straalen, Erin C. Carson, Nicholas Knight, James Demmel
s-Step Krylov Subspace Methods as Bottom Solvers for Geometric Multigrid. IPDPS (2014)
Nicholas Knight, Erin C. Carson, James Demmel
Exploiting Data Sparsity in Parallel Matrix Powers Computations. PPAM (1) (2013)
Erin C. Carson, Nicholas Knight, James Demmel
Avoiding Communication in Nonsymmetric Lanczos-Based Krylov Subspace Methods. SIAM J. Sci. Comput. 35 (5) (2013)
Joseph C. Carnahan, Steven A. Policastro, Erin C. Carson, Paul F. Reynolds Jr., Robert G. Kelly
Using flexible points in a developing simulation of selective dissolution in alloys. WSC (2007)