Mixed Precision s -step Conjugate Gradient with Residual Replacement on GPUs. Abstract: The s -step Conjugate Gradient (CG) algorithm has the potential to ...
In this paper, we present several numerical algorithms to solve the discrete Lyapunov tensor equation, which is the generalized form of discrete Lyapunov matrix ...
We perform the rounding-error analysis of the conjugate-gradient algorithms for the solution of a large system of linear equations Ax=b where Ais an hermitian ...
Jun 1, 2022 · Mixed precision s-step Conjugate Gradient with Residual Replacement on GPUs. Conference · Tue Mar 01 00:00:00 EST 2022 · OSTI ID:2003591.
In this paper, a strategy is proposed for alternative computations of the residual vectors in Krylov subspace methods, which improves the agreement of the ...
Mar 1, 2022 · OSTI.GOV Conference: Mixed precision s-step Conjugate Gradient with Residual Replacement on GPUs. Title: Mixed precision s-step Conjugate ...
Mar 16, 2021 · Abstract:Compared to the classical Lanczos algorithm, the s-step Lanczos variant has the potential to improve performance by asymptotically ...
Missing: Residual Replacement GPUs.
As a potential remedy to the loss of accuracy in 𝑠 s -step Krylov subspace methods, we introduce and analyze a variable 𝑠 s -step conjugate gradient method in ...
Nov 23, 2021 · We present preliminary performance results on NVIDIA V100 GPUs that show that the overhead of extra precision is minimal if one uses precisions ...
m is a mixed precision implementation of the s-step Lanczos algorithm, which uses quadruple precision for computing and applying the Gram matrix and double ...
Missing: Residual GPUs.