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ORCIDErin C. Carson
Person information
- affiliation: Charles University, Prague, Czech Republic
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Books and Theses
- 2015
[b1]Erin C. Carson:
Communication-Avoiding Krylov Subspace Methods in Theory and Practice. University of California, Berkeley, USA, 2015
Journal Articles
- 2024
- [j18]Eda Oktay, Erin Claire Carson:
Mixed precision Rayleigh quotient iteration for total least squares problems. Numer. Algorithms 96(2): 777-798 (2024) - [j17]Stephen J. Thomas, Erin C. Carson
, Miroslav Rozlozník, Arielle Carr, Katarzyna Swirydowicz:
Iterated Gauss-Seidel GMRES. SIAM J. Sci. Comput. 46(2): S254-S279 (2024) - 2023
- [j16]Erin C. Carson, Noaman Khan:
Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning. SIAM J. Sci. Comput. 45(3): 131-153 (2023) - 2022
- [j15]Erin C. Carson, Tomás Gergelits, Ichitaro Yamazaki:
Mixed precision s-step Lanczos and conjugate gradient algorithms. Numer. Linear Algebra Appl. 29(3) (2022) - [j14]Eda Oktay, Erin C. Carson:
Multistage mixed precision iterative refinement. Numer. Linear Algebra Appl. 29(4) (2022) - 2021
- [j13]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) - [j12]Erin C. Carson, Kathryn Lund, Miroslav Rozlozník:
The Stability of Block Variants of Classical Gram-Schmidt. SIAM J. Matrix Anal. Appl. 42(3): 1365-1380 (2021) - 2020
- [j11]Tyler Chen, Erin C. Carson:
Predict-and-Recompute Conjugate Gradient Variants. SIAM J. Sci. Comput. 42(5): A3084-A3108 (2020) - [j10]Erin C. Carson, Nicholas J. Higham, Srikara Pranesh:
Three-Precision GMRES-Based Iterative Refinement for Least Squares Problems. SIAM J. Sci. Comput. 42(6): A4063-A4083 (2020) - 2018
- [j9]Erin C. Carson:
The Adaptive s-Step Conjugate Gradient Method. SIAM J. Matrix Anal. Appl. 39(3): 1318-1338 (2018) - [j8]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) - [j7]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): A3549-A3580 (2018) - 2017
- [j6]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) - 2015
- [j5]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): 793-819 (2015) - 2014
- [j4]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: 1-155 (2014) - [j3]Erin C. Carson:
Making tech more inclusive: an interview with Ashe Dryden. XRDS 20(4): 36-37 (2014) - [j2]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): 22-43 (2014) - 2013
- [j1]Erin C. Carson, Nicholas Knight, James Demmel:
Avoiding Communication in Nonsymmetric Lanczos-Based Krylov Subspace Methods. SIAM J. Sci. Comput. 35(5) (2013)
Conference and Workshop Papers
- 2022
- [c6]Ichitaro Yamazaki, Erin C. Carson, Brian Kelley:
Mixed Precision $s$-step Conjugate Gradient with Residual Replacement on GPUs. IPDPS 2022: 886-896 - 2016
- [c5]Erin C. Carson, James Demmel, Laura Grigori, Nicholas Knight, Penporn Koanantakool, Oded Schwartz, Harsha Vardhan Simhadri:
Write-Avoiding Algorithms. IPDPS 2016: 648-658 - 2014
- [c4]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: 1149-1158 - [c3]Edgar Solomonik, Erin C. Carson, Nicholas Knight, James Demmel:
Tradeoffs between synchronization, communication, and computation in parallel linear algebra computations. SPAA 2014: 307-318 - 2013
- [c2]Nicholas Knight, Erin C. Carson, James Demmel:
Exploiting Data Sparsity in Parallel Matrix Powers Computations. PPAM (1) 2013: 15-25 - 2007
- [c1]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: 891-899
Informal and Other Publications
- 2024
- [i19]Erin C. Carson, Eda Oktay:
Mixed Precision FGMRES-Based Iterative Refinement for Weighted Least Squares. CoRR abs/2401.03755 (2024) - [i18]Erin C. Carson, Kathryn Lund, Yuxin Ma, Eda Oktay:
Reorthogonalized Pythagorean variants of block classical Gram-Schmidt. CoRR abs/2405.01298 (2024) - [i17]Erin C. Carson, Ieva Dauzickaite:
A comparison of mixed precision iterative refinement approaches for least-squares problems. CoRR abs/2405.18363 (2024) - 2023
- [i16]Erin C. Carson, Ieva Dauzickaite:
The stability of split-preconditioned FGMRES in four precisions. CoRR abs/2303.11901 (2023) - [i15]Eda Oktay, Erin C. Carson:
Mixed Precision Rayleigh Quotient Iteration for Total Least Squares Problems. CoRR abs/2305.19028 (2023) - [i14]Petr Vacek, Erin C. Carson, Kirk M. Soodhalter:
The effect of approximate coarsest-level solves on the convergence of multigrid V-cycle methods. CoRR abs/2306.06182 (2023) - [i13]Noaman Khan, Erin C. Carson:
Mixed Precision Iterative Refinement with Adaptive Precision Sparse Approximate Inverse Preconditioning. CoRR abs/2307.03914 (2023) - 2022
- [i12]Eda Oktay, Erin C. Carson:
Mixed Precision GMRES-based Iterative Refinement with Recycling. CoRR abs/2201.09827 (2022) - [i11]Erin C. Carson, Noaman Khan:
Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning. CoRR abs/2202.10204 (2022) - [i10]Stephen J. Thomas, Erin C. Carson, Miro Rozlozník, Arielle Carr, Kasia Swirydowicz:
Post-Modern GMRES. CoRR abs/2205.07805 (2022) - [i9]Erin C. Carson, Ieva Dauzickaite:
Single-pass Nyström approximation in mixed precision. CoRR abs/2205.13355 (2022) - [i8]Eda Oktay, Erin C. Carson:
Using Mixed Precision in Low-Synchronization Reorthogonalized Block Classical Gram-Schmidt. CoRR abs/2210.08839 (2022) - [i7]Erin C. Carson, Jörg Liesen, Zdenek Strakos:
70 years of Krylov subspace methods: The journey continues. CoRR abs/2211.00953 (2022) - 2021
- [i6]Erin C. Carson, Tomás Gergelits:
Mixed Precision s-step Lanczos and Conjugate Gradient Algorithms. CoRR abs/2103.09210 (2021) - [i5]Eda Oktay, Erin C. Carson:
Multistage Mixed Precision Iterative Refinement. CoRR abs/2107.06200 (2021) - 2020
- [i4]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 abs/2007.06674 (2020) - [i3]Erin C. Carson, Kathryn Lund, Miroslav Rozlozník, Stephen J. Thomas:
An overview of block Gram-Schmidt methods and their stability properties. CoRR abs/2010.12058 (2020) - 2019
- [i2]Erin C. Carson:
An Adaptive $s$-step Conjugate Gradient Algorithm with Dynamic Basis Updating. CoRR abs/1908.04081 (2019) - 2017
- [i1]Erin C. Carson:
The Adaptive s-step Conjugate Gradient Method. CoRR abs/1701.03989 (2017)
Coauthor Index
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