2 papers
math.NA2025
HPL-MxP Benchmark: Mixed-Precision Algorithms, Iterative Refinement, and Scalable Data Generation
Jack Dongarra, Piotr Luszczek
We present a mixed-precision benchmark called HPL-MxP that uses both a lower-precision LU factorization with a non-stationary iterative refinement based on GMRES. We evaluate the n…
math.NA2025
The Stability of Block Eliminations and Additive Modifications
Neil Lindquist, Piotr Luszczek, Jack Dongarra
The block elimination with additive modifications (BEAM) method was recently proposed as a alternative to LU with partial pivoting requiring less communication. Because of the nove…