@techreport {,
	title = {Design, Optimization, and Benchmarking of Dense Linear Algebra Algorithms on AMD GPUs},
	journal = {Innovative Computing Laboratory Technical Report},
	number = {ICL-UT-20-12},
	year = {2020},
	month = {2020-08},
	publisher = {University of Tennessee},
	abstract = {Dense linear algebra (DLA) has historically been in the vanguard of software that must be adapted first to hardware changes. This is because DLA is both critical to the accuracy and performance of so many different types of applications, and because they have proved to be outstanding vehicles for finding and implementing solutions to the problems that novel architectures pose. Therefore, in this paper we investigate the portability of the MAGMA DLA library to the latest AMD GPUs. We use auto tools to convert the CUDA code in MAGMA to the HeterogeneousComputing Interface for Portability (HIP) language. MAGMA provides LAPACK for GPUs and benchmarks for fundamental DLA routines ranging from BLAS to dense factorizations, linear systems and eigen-problem solvers. We port these routines to HIP and quantify currently achievable performance through the MAGMA benchmarks for the main workload algorithms on MI25 and MI50 AMD GPUs. Comparison with performance roofline models and theoretical expectations are used to identify current limitations and directions for future improvements.},
	keywords = {AMD GPUs, GPU computing, HIP Runtime, HPC, numerical linear algebra, Portability},
	author = {Cade Brown and Ahmad Abdelfattah and Stanimire Tomov and Jack Dongarra}
}
@conference {,
	title = {Design, Optimization, and Benchmarking of Dense Linear Algebra Algorithms on AMD GPUs},
	booktitle = {2020 IEEE High Performance Extreme Computing Virtual Conference},
	year = {2020},
	month = {2020-09},
	publisher = {IEEE},
	organization = {IEEE},
	abstract = {Dense linear algebra (DLA) has historically been in the vanguard of software that must be adapted first to hardware changes. This is because DLA is both critical to the accuracy and performance of so many different types of applications, and because they have proved to be outstanding vehicles for finding and implementing solutions to the problems that novel architectures pose. Therefore, in this paper we investigate the portability of the MAGMA DLA library to the latest AMD GPUs. We use auto tools to convert the CUDA code in MAGMA to the HeterogeneousComputing Interface for Portability (HIP) language. MAGMA provides LAPACK for GPUs and benchmarks for fundamental DLA routines ranging from BLAS to dense factorizations, linear systems and eigen-problem solvers. We port these routines to HIP and quantify currently achievable performance through the MAGMA benchmarks for the main workload algorithms on MI25 and MI50 AMD GPUs. Comparison with performance roofline models and theoretical expectations are used to identify current limitations and directions for future improvements.},
	author = {Cade Brown and Ahmad Abdelfattah and Stanimire Tomov and Jack Dongarra}
}
