@conference {,
	title = {Mixed Precision Algebraic Multigrid on GPUs},
	booktitle = { Parallel Processing and Applied Mathematics (PPAM 2022)},
	volume = {13826},
	year = {2023},
	month = {2023-04},
	publisher = {Springer International Publishing},
	organization = {Springer International Publishing},
	address = {Cham},
	abstract = {In this paper, we present the first GPU-native platform-portable algebraic multigrid (AMG) implementation that allows the user to use different precision formats for the distinct multigrid levels. The AMG we present uses an aggregation size 2 parallel graph match as the AMG coarsening strategy. The implementation provides a high level of flexibility in terms of configuring the bottom-level solver and the precision format for the distinct levels. We present convergence and performance results on the GPUs from AMD, Intel, and NVIDIA, and compare against corresponding functionality available in other libraries.},
	keywords = {Algebraic multigrid, GPUs, mixed precision, Portability},
	isbn = {978-3-031-30441-5},
	doi = {10.1007/978-3-031-30442-2_9},
	url = {https://link.springer.com/10.1007/978-3-031-30442-2},
	author = {Tsai, Yu-Hsiang Mike and Natalie Beams and Anzt, Hartwig},
	editor = {Wyrzykowski, Roman and Dongarra, Jack and Deelman, Ewa and Karczewski, Konrad}
}
@article {,
	title = {Three-precision algebraic multigrid on GPUs},
	journal = {Future Generation Computer Systems},
	year = {2023},
	month = {2023-07},
	abstract = {Recent research has demonstrated that using low precision inside some levels of an algebraic multigrid (AMG) solver can improve performance without negatively impacting the AMG quality. In this paper, we build upon previous research and implement an AMG that can use double, single, and half precision for the distinct multigrid levels. The implementation is platform-portable across GPU architectures from AMD, Intel, and NVIDIA. In an experimental analysis, we demonstrate that the use of half precision can be a viable option in multigrid. We evaluate the performance of different AMG configurations and demonstrate that mixed precision AMG can provide runtime savings compared to a double precision AMG.},
	keywords = {Algebraic multigrid, GPUs, mixed precision, Portability},
	issn = {0167739X},
	doi = {10.1016/j.future.2023.07.024},
	url = {https://www.sciencedirect.com/science/article/pii/S0167739X23002741},
	author = {Tsai, Yu-Hsiang Mike and Beams, Natalie and Anzt, Hartwig}
}
