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20172021
most citedA Survey of Numerical Methods Utilizing Mixed Precision Arithmetic

24 citations · 24 across the 6 of their papers we have counts for

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math.NA2021

Experimental Evaluation of Multiprecision Strategies for GMRES on GPUs

Jennifer A. Loe, Christian A. Glusa, Ichitaro Yamazaki +2

Support for lower precision computation is becoming more common in accelerator hardware due to lower power usage, reduced data movement and increased computational performance. How…

math.NA2021

Low-Synch Gram-Schmidt with Delayed Reorthogonalization for Krylov Solvers

Daniel Bielich, Julien Langou, Stephen Thomas +3

The parallel strong-scaling of Krylov iterative methods is largely determined by the number of global reductions required at each iteration. The GMRES and Krylov-Schur algorithms e…

math.NA2019

Polynomial Preconditioned GMRES to Reduce Communication in Parallel Computing

Jennifer A. Loe, Heidi K. Thornquist, Erik G. Boman

Polynomial preconditioning with the GMRES minimal residual polynomial has the potential to greatly reduce orthogonalization costs, making it useful for communication reduction. We…

math.NA2019

An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations

Léopold Cambier, Chao Chen, Erik G Boman +3

We propose a new algorithm for the fast solution of large, sparse, symmetric positive-definite linear systems, spaND -- sparsified Nested Dissection. It is based on nested dissecti…

math.NA2018

Asynchronous One-Level and Two-Level Domain Decomposition Solvers

Christian Glusa, Paritosh Ramanan, Erik G. Boman +2

Parallel implementations of linear iterative solvers generally alternate between phases of data exchange and phases of local computation. Increasingly large problem sizes on more h…

math.NA2017

A distributed-memory hierarchical solver for general sparse linear systems

Chao Chen, Hadi Pouransari, Sivasankaran Rajamanickam +2

We present a parallel hierarchical solver for general sparse linear systems on distributed-memory machines. For large-scale problems, this fully algebraic algorithm is faster and m…