Accelerating the solution of linear systems by iterative refinement in three precisions E Carson, NJ Higham
SIAM Journal on Scientific Computing 40 (2), A817-A847, 2018
207 2018 A survey of numerical linear algebra methods utilizing mixed-precision arithmetic A Abdelfattah, H Anzt, EG Boman, E Carson, T Cojean, J Dongarra, A Fox, ...
The International Journal of High Performance Computing Applications 35 (4 …, 2021
177 2021 Communication lower bounds and optimal algorithms for numerical linear algebra G Ballard, E Carson, J Demmel, M Hoemmen, N Knight, O Schwartz
Acta Numerica 23, 1-155, 2014
144 2014 A new analysis of iterative refinement and its application to accurate solution of ill-conditioned sparse linear systems E Carson, NJ Higham
SIAM Journal on Scientific Computing 39 (6), A2834-A2856, 2017
133 2017 Communication-avoiding Krylov subspace methods in theory and practice EC Carson
University of California, Berkeley, 2015
103 2015 Avoiding communication in nonsymmetric Lanczos-based Krylov subspace methods E Carson, N Knight, J Demmel
SIAM Journal on Scientific Computing 35 (5), S42-S61, 2013
75 2013 A Residual Replacement Strategy for Improving the Maximum Attainable Accuracy of s-step Krylov Subspace Methods E Carson, J Demmel
SIAM Journal on Matrix Analysis and Applications 35 (1), 22-43, 2014
59 2014 Write-avoiding algorithms E Carson, J Demmel, L Grigori, N Knight, P Koanantakool, O Schwartz, ...
2016 IEEE International Parallel and Distributed Processing Symposium (IPDPS …, 2016
53 2016 Trade-offs between synchronization, communication, and computation in parallel linear algebra computations E Solomonik, E Carson, N Knight, J Demmel
ACM Transactions on Parallel Computing (TOPC) 3 (1), 1-47, 2017
48 2017 Three-precision GMRES-based iterative refinement for least squares problems E Carson, NJ Higham, S Pranesh
SIAM Journal on Scientific Computing 42 (6), A4063-A4083, 2020
40 2020 Block Gram-Schmidt algorithms and their stability properties E Carson, K Lund, M Rozložník, S Thomas
Linear Algebra and its Applications 638, 150-195, 2022
39 2022 The numerical stability analysis of pipelined conjugate gradient methods: Historical context and methodology EC Carson, M Rozloznik, Z Strakos, P Tichy, M Tůma
SIAM Journal on Scientific Computing 40 (5), A3549-A3580, 2018
31 2018 s-step Krylov subspace methods as bottom solvers for geometric multigrid S Williams, M Lijewski, A Almgren, B Van Straalen, E Carson, N Knight, ...
2014 IEEE 28th International Parallel and Distributed Processing Symposium …, 2014
27 2014 The Adaptive -Step Conjugate Gradient Method EC Carson
SIAM Journal on Matrix Analysis and Applications 39 (3), 1318-1338, 2018
26 2018 An efficient deflation technique for the communication-avoiding conjugate gradient method E Carson, N Knight, J Demmel
Electronic Transactions on Numerical Analysis 43 (125141), 09, 2014
26 2014 On the cost of iterative computations E Carson, Z Strakoš
Philosophical Transactions of the Royal Society A 378 (2166), 20190050, 2020
25 2020 Avoiding communication in two-sided Krylov subspace methods E Carson, N Knight, J Demmel
Technical Report UCB/EECS-2011-93, EECS Department, University of California …, 2011
24 2011 Accuracy of the -Step Lanczos Method for the Symmetric Eigenproblem in Finite Precision E Carson, JW Demmel
SIAM Journal on Matrix Analysis and Applications 36 (2), 793-819, 2015
23 2015 The Stability of Block Variants of Classical Gram--Schmidt E Carson, K Lund, M Rozloznik
SIAM Journal on Matrix Analysis and Applications 42 (3), 1365-1380, 2021
22 2021 Mixed precision s ‐step Lanczos and conjugate gradient algorithms E Carson, T Gergelits, I Yamazaki
Numerical Linear Algebra with Applications 29 (3), e2425, 2022
19 2022