Communication avoiding successive band reduction. - Grey Ballard; James Demmel; Nicholas Knight (PPoPP, 2012)

Exploiting Data Sparsity in Parallel Matrix Powers Computations. - Nicholas Knight; Erin C. Carson; James Demmel (PPAM (1), 2013)

Communication lower bounds and optimal algorithms for programs that reference arrays - Part 1. - Michael Christ; James Demmel; Nicholas Knight; Thomas Scanlon; Katherine A. Yelick (CoRR, 2013)

Avoiding Communication in Nonsymmetric Lanczos-Based Krylov Subspace Methods. - Erin C. Carson; Nicholas Knight; James Demmel (SIAM J. Sci. Comput., 2013)

s-Step Krylov Subspace Methods as Bottom Solvers for Geometric Multigrid. - Samuel Williams 001; Mike Lijewski; Ann S. Almgren; Brian van Straalen; Erin C. Carson; Nicholas Knight; James Demmel (IPDPS, 2014)

Tradeoffs between synchronization, communication, and computation in parallel linear algebra computations. - Edgar Solomonik; Erin C. Carson; Nicholas Knight; James Demmel (SPAA, 2014)

Communication lower bounds and optimal algorithms for numerical linear algebra. - Grey Ballard; Erin C. Carson; James Demmel; Mark Hoemmen; Nicholas Knight; Oded Schwartz (Acta Numer., 2014)

Brief Announcement: Hypergraph Partitioning for Parallel Sparse Matrix-Matrix Multiplication. - Grey Ballard; Alex Druinsky; Nicholas Knight; Oded Schwartz (SPAA, 2015)

Reconstructing Householder vectors from Tall-Skinny QR. - Grey Ballard; James Demmel; Laura Grigori; Mathias Jacquelin; Nicholas Knight; Hong Diep Nguyen (J. Parallel Distributed Comput., 2015)

Avoiding Communication in Successive Band Reduction. - Grey Ballard; James Demmel; Nicholas Knight (ACM Trans. Parallel Comput., 2015)

Communication-Optimal Loop Nests. - Nicholas Knight (2015)

Write-Avoiding Algorithms. - Erin C. Carson; James Demmel; Laura Grigori; Nicholas Knight; Penporn Koanantakool; Oded Schwartz; Harsha Vardhan Simhadri (IPDPS, 2016)

Hypergraph Partitioning for Sparse Matrix-Matrix Multiplication. - Grey Ballard; Alex Druinsky; Nicholas Knight; Oded Schwartz (ACM Trans. Parallel Comput., 2016)

Communication Lower Bounds for Matricized Tensor Times Khatri-Rao Product. - Grey Ballard; Nicholas Knight; Kathryn Rouse (IPDPS, 2018)

A 3D Parallel Algorithm for QR Decomposition. - Grey Ballard; James Demmel; Laura Grigori; Mathias Jacquelin; Nicholas Knight (SPAA, 2018)

Vectorized Nonlinear Functions with the RISC-V Vector Extension. - Eric Bavier; Nicholas Knight; Hugues de Lassus Saint-Genies; Eric Love (ARITH, 2023)

On Multilinear Inequalities of Holder-Brascamp-Lieb Type for Torsion-Free Discrete Abelian Groups. - Michael Christ; James Demmel; Nicholas Knight; Thomas Scanlon; Katherine A. Yelick (J. Log. Anal., 2024)