Get started
Author

Erin Carson

Observed names: Carson, Erin, Carson, Erin Claire, E. Carson, Erin C. Carson, Erin Claire Carson
Institution: Charles University
Observed institutions: Lawrence Livermore National Laboratory, Charles University, University of Manchester, Courant Institute of Mathematical Sciences, Office of Advanced Scientific Computing Research, Czech Academy of Sciences, Institute of Mathematics, University of Virginia, New York University, University of California, Berkeley
ORCID: 0000-0001-9469-7467
Observed ORCID: 0000-0001-9469-7467
OpenAlex ID: A5102914582
Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions
2018 · Erin Carson, Nicholas J. Higham · SIAM Journal on Scientific Computing · 236
A survey of numerical linear algebra methods utilizing mixed-precision arithmetic
2021 · Ahmad Abdelfattah, Hartwig Anzt, et al. · The International Journal of High Performance Computing Applications · 170
A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems
2017 · Erin Carson, Nicholas J. Higham · SIAM Journal on Scientific Computing · 143
Communication lower bounds and optimal algorithms for numerical linear algebra
2014 · G. Ballard, E. Carson, et al. · Acta Numerica · 124
A Survey of Numerical Methods Utilizing Mixed Precision Arithmetic
2020 · Abdelfattah, Ahmad, Anzt, Hartwig, et al. · arXiv (Cornell University) · 61
PDF
Communication-Avoiding Krylov Subspace Methods in Theory and Practice
2015 · Erin Carson · eScholarship (California Digital Library) · 55
PDF
Block Gram-Schmidt algorithms and their stability properties
2021 · Erin Carson, Kathryn Lund, et al. · Linear Algebra and its Applications · 54
A Residual Replacement Strategy for Improving the Maximum Attainable Accuracy of $s$-Step Krylov Subspace Methods
2014 · Erin Carson, James Demmel · SIAM Journal on Matrix Analysis and Applications · 54
Avoiding Communication in Nonsymmetric Lanczos-Based Krylov Subspace Methods
2013 · Erin Carson, Nicholas Knight, et al. · SIAM Journal on Scientific Computing · 53
Three-Precision GMRES-Based Iterative Refinement for Least Squares Problems
2020 · Erin Carson, Nicholas J. Higham, et al. · SIAM Journal on Scientific Computing · 45
PDF
Towards understanding CG and GMRES through examples
2024 · Erin Carson, Jörg Liesen, et al. · Linear Algebra and its Applications · 36
Write-Avoiding Algorithms
2016 · Erin Carson, James Demmel, et al. · IEEE International Parallel and Distributed Processing Symposium (IPDPS) · 34
Tradeoffs between synchronization, communication, and computation in parallel linear algebra computations
2014 · Edgar Solomonik, Erin Carson, et al. · ACM Symposium on Parallelism in Algorithms and Architectures (SPAA) · 34
The Adaptive $s$-Step Conjugate Gradient Method
2018 · Erin C. Carson · SIAM Journal on Matrix Analysis and Applications · 30
PDF
Mixed precision s ‐step Lanczos and conjugate gradient algorithms
2021 · Erin Carson, Tomáš Gergelits, et al. · Numerical Linear Algebra with Applications · 29
PDF
Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning
2023 · Erin Carson, Noaman Khan · SIAM Journal on Scientific Computing · 27
PDF
The Numerical Stability Analysis of Pipelined Conjugate Gradient Methods: Historical Context and Methodology
2018 · Erin C. Carson, Miroslav Rozložník, et al. · SIAM Journal on Scientific Computing · 27
s-Step Krylov Subspace Methods as Bottom Solvers for Geometric Multigrid
2014 · Samuel Williams, Mike Lijewski, et al. · IEEE International Parallel and Distributed Processing Symposium (IPDPS) · 24
PDF
Trade-Offs Between Synchronization, Communication, and Computation in Parallel Linear Algebra Computations
2016 · Edgar Solomonik, Erin Carson, et al. · ACM Transactions on Parallel Computing · 23
The Stability of Block Variants of Classical Gram--Schmidt
2021 · Erin Carson, Kathryn Lund, et al. · SIAM Journal on Matrix Analysis and Applications · 22
On the cost of iterative computations
2020 · Erin Carson, Zdeněk Strakoš · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 22
Iterated Gauss–Seidel GMRES
2023 · Stephen Thomas, Erin Carson, et al. · SIAM Journal on Scientific Computing · 18
PDF
Avoiding Communication in Two-Sided Krylov Subspace Methods
2011 · Erin Carson, Nicholas Knight, et al. · Defense Technical Information Center (DTIC) · 16
An adaptive $s$-step conjugate gradient algorithm with dynamic basis updating
2020 · Erin Claire Carson · Applications of Mathematics · 15
PDF
Accuracy of the $s$-Step Lanczos Method for the Symmetric Eigenproblem in Finite Precision
2015 · Erin Carson, James W. Demmel · SIAM Journal on Matrix Analysis and Applications · 15
Works count: 84
Citation count: 1,558
H-index: 21
I10-index: 29
Year
Topic
Type