Three-Precision GMRES-Based Iterative Refinement for Least Squares Problems-Reference-Cited by-同舟云学术

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Three-Precision GMRES-Based Iterative Refinement for Least Squares Problems

Published:2020-01 Issue:6 Volume:42 Page:A4063-A4083
ISSN:1064-8275
Container-title:SIAM Journal on Scientific Computing
language:en
Short-container-title:SIAM J. Sci. Comput.

Author:

Carson Erin^ORCID,Higham Nicholas J.^ORCID,Pranesh Srikara

Funder

Engineering and Physical Sciences Research Council

Přírodovědecká Fakulta, Univerzita Karlova

Royal Society

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Applied Mathematics,Computational Mathematics

Link

https://epubs.siam.org/doi/pdf/10.1137/20M1316822

Reference22 articles.

1. A Note on GMRES Preconditioned by a Perturbed $L D L^T$ Decomposition with Static Pivoting

2. Iterative refinement of linear least squares solutions I

3. A New Analysis of Iterative Refinement and Its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems

4. Accelerating the Solution of Linear Systems by Iterative Refinement in Three Precisions

5. On the cost of iterative computations

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1. Avoiding Breakdown in Incomplete Factorizations in Low Precision Arithmetic;ACM Transactions on Mathematical Software;2024-06-28

2. Five-Precision GMRES-Based Iterative Refinement;SIAM Journal on Matrix Analysis and Applications;2024-02-08

3. Double Precision is not Necessary for LSQR for Solving Discrete Linear Ill-Posed Problems;Journal of Scientific Computing;2024-02-01

4. GPU-resident sparse direct linear solvers for alternating current optimal power flow analysis;International Journal of Electrical Power & Energy Systems;2024-01

5. The stability of split-preconditioned FGMRES in four precisions;ETNA - Electronic Transactions on Numerical Analysis;2024

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