Abstract
A widely used form of test matrix is the randsvd matrix constructed as the product $A = U \Sigma V^*$, where $U$ and $V$ are random orthogonal or unitary matrices from the Haar distribution and $\S...
Highlights
The TOP500 list1 ranks the world’s fastest computers using the High-Performance Linpack Benchmark (HPL) [24], which measures the time taken to solve a dense linear system with random coefficients by means of a direct factorization method
The mo re powerful the machine being tested, the larger the test matrix must be in order to extract the best performance from the system
The largest linear systems solved on Fugaku, the machine that heads the June 2020 TOP500 list, have order 107, and the systems needed to benchmark the coming generation of exascale supercomputers will be even larger
Summary
The TOP500 list1 ranks the world’s fastest computers using the High-Performance Linpack Benchmark (HPL) [24], which measures the time taken to solve a dense linear system with random coefficients by means of a direct factorization method.
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