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 | 140 | 2014 |

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 | 91* | 2013 |

Communication lower bounds and optimal algorithms for programs that reference arrays (part 1) M Christ, J Demmel, N Knight, T Scanlon, K Yelick | 72 | 2013 |

Hypergraph partitioning for sparse matrix-matrix multiplication G Ballard, A Druinsky, N Knight, O Schwartz ACM Transactions on Parallel Computing (TOPC) 3 (3), 1-34, 2016 | 69 | 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 | 57* | 2017 |

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 |

Communication lower bounds for matricized tensor times Khatri-Rao product G Ballard, N Knight, K Rouse 2018 IEEE International Parallel and Distributed Processing Symposium (IPDPS …, 2018 | 43 | 2018 |

Hypergraph Partitioning for Parallel Sparse Matrix-Matrix Multiplication G Ballard, A Druinsky, N Knight, O Schwartz Proceedings of the 27th ACM symposium on Parallelism in Algorithms and …, 2015 | 31 | 2015 |

Avoiding communication in successive band reduction G Ballard, J Demmel, N Knight ACM Transactions on Parallel Computing (TOPC) 1 (2), 1-37, 2015 | 28 | 2015 |

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 | 26 | 2014 |

An efficient deflation technique for the communication-avoiding conjugate gradient method E Carson, N Knight, J Demmel Electronic Transactions in Numerical Analysis, 0 | 25* | |

Reconstructing Householder vectors from tall-skinny QR G Ballard, J Demmel, L Grigori, M Jacquelin, N Knight, HD Nguyen Journal of Parallel and Distributed Computing 85, 3-31, 2015 | 21 | 2015 |

On Holder-Brascamp-Lieb inequalities for torsion-free discrete Abelian groups M Christ, J Demmel, N Knight, T Scanlon, K Yelick arXiv preprint arXiv:1510.04190, 2015 | 17 | 2015 |

Exploiting data sparsity in parallel matrix powers computations N Knight, E Carson, J Demmel | 15 | 2013 |

Communication-optimal loop nests NS Knight University of California, Berkeley, 2015 | 13 | 2015 |

Communication avoiding successive band reduction G Ballard, J Demmel, N Knight Proceedings of the 17th ACM SIGPLAN symposium on Principles and Practice of …, 2012 | 8 | 2012 |

A 3d parallel algorithm for qr decomposition G Ballard, J Demmel, L Grigori, M Jacquelin, N Knight Proceedings of the 30th on Symposium on Parallelism in Algorithms and …, 2018 | 5 | 2018 |

Hypergraph partitioning for computing matrix powers E Carson, N Knight, J Demmel Fifth SIAM Workshop on Combinatorial Scientific Computing, May 19–21, 2011 …, 2011 | 3 | 2011 |

Avoiding communication in geometric multigrid EC Carson, S Williams, M Lijewski, N Knight, AS Almgren PMAA, Wednesday, 2014 | 1 | 2014 |

Triangular matrix inversion: a survey of sequential approaches N Knight | 1 | 2009 |