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 | 156 | 2018 |

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 | 128 | 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 | 102 | 2017 |

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 | 100* | 2021 |

Communication-avoiding Krylov subspace methods in theory and practice EC Carson University of California, Berkeley, 2015 | 81 | 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 | 66 | 2013 |

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 | 54 | 2016 |

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 | 52 | 2014 |

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 | 37 | 2017 |

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 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 | 24 | 2018 |

Avoiding communication in two-sided Krylov subspace methods E Carson, N Knight, J Demmel CALIFORNIA UNIV BERKELEY DEPT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCE, 2011 | 24 | 2011 |

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 | 21 | 2014 |

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 | 19 | 2020 |

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 | 19 | 2015 |

On the cost of iterative computations E Carson, Z Strakoš Philosophical Transactions of the Royal Society A 378 (2166), 20190050, 2020 | 16 | 2020 |

Exploiting data sparsity in parallel matrix powers computations N Knight, E Carson, J Demmel Parallel Processing and Applied Mathematics: 10th International Conference …, 2014 | 16 | 2014 |

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 | 14 | 2022 |

The Adaptive -Step Conjugate Gradient Method EC Carson SIAM Journal on Matrix Analysis and Applications 39 (3), 1318-1338, 2018 | 13 | 2018 |

Tradeoffs between synchronization, communication, and work in parallel linear algebra computations E Solomonik, E Carson, N Knight, J Demmel CALIFORNIA UNIV BERKELEY DEPT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES, 2014 | 13 | 2014 |