206 citations · 805 across the 35 of their papers we have counts for
7 papers · 1 filter
Implementing Communication-Optimal Parallel and Sequential QR Factorizations
James Demmel, Laura Grigori, Mark Hoemmen +1
We present parallel and sequential dense QR factorization algorithms for tall and skinny matrices and general rectangular matrices that both minimize communication, and are as stab…
Accelerating Scientific Computations with Mixed Precision Algorithms
Marc Baboulin, Alfredo Buttari, Jack Dongarra +5
On modern architectures, the performance of 32-bit operations is often at least twice as fast as the performance of 64-bit operations. By using a combination of 32-bit and 64-bit f…
Communication-optimal parallel and sequential QR and LU factorizations
James Demmel, Laura Grigori, Mark Hoemmen +1
We present parallel and sequential dense QR factorization algorithms that are both optimal (up to polylogarithmic factors) in the amount of communication they perform, and just as…
The cycle-convergence of restarted GMRES for normal matrices is sublinear
Eugene Vecharynski, Julien Langou
We prove that the cycle-convergence of the restarted GMRES applied to a system of linear equations with a normal coefficient matrix is sublinear.
Algorithmic Based Fault Tolerance Applied to High Performance Computing
George Bosilca, Remi Delmas, Jack Dongarra +1
We present a new approach to fault tolerance for High Performance Computing system. Our approach is based on a careful adaptation of the Algorithmic Based Fault Tolerance technique…
The Problem with the Linpack Benchmark Matrix Generator
Jack Dongarra, Julien Langou
We characterize the matrix sizes for which the Linpack Benchmark matrix generator constructs a matrix with identical columns.