[25], National Center for Supercomputing Applications, "The Linpack Benchmark, TOP500 Supercomputing Sites", "The LINPACK Benchmark: past, present and future", "The NAS parallel benchmarks summary and preliminary results", "LINPACK FAQ - Can I use Strassen's Method when doing the matrix multiples in the HPL benchmark or for the Top500 run?
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This will change the number of process grids from 16 (4 x 4) to 8 (2 x 4). {\displaystyle \lVert \cdot \rVert } b
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Introduced by Jack Dongarra, they measure how fast a computer solves a dense n by n system of linear equations Ax = b, which is a common task in engineering. [5], Parallel processing was also introduced in the LINPACK Parallel benchmark in the late 1980s.[2].
x Jack Dongarra, the main driving force behind the LINPACK benchmarks, said that, while they only emphasize "peak" CPU speed and number of CPUs, not enough stress is given to local bandwidth and the network. {\displaystyle {\lVert Ax-b\rVert \over \lVert A\rVert \lVert x\rVert n\epsilon }\leq O(1)} The LINPACK package has been since been replaced by other libraries. [22] Running the Intel Distribution for LINPACK Benchmark, To run the Intel Distribution for LINPACK Benchmark on multiple nodes or on one node with multiple MPI processes, you need to use MPI and either modify. At a conference held in 2010, he said he expects running times of 2.5 days in "a few years". endobj
− [23] With the advent of petascale computers, traversed edges per second have started to emerge as an alternative metric to FLOPS measured by LINPACK. O Intel does not guarantee the availability, functionality, or effectiveness of any optimization on microprocessors not manufactured by Intel. This matrix size was chosen due to memory and CPU limitations at that time: Over the years, additional versions with different problem sizes, like matrices of order 300 and 1000, and constraints were released, allowing new optimization opportunities as hardware architectures started to implement matrix-vector and matrix-matrix operations.
‖ The browser version you are using is not recommended for this site.Please consider upgrading to the latest version of your browser by clicking one of the following links. Intel's compilers may or may not optimize to the same degree for non-Intel microprocessors for optimizations that are not unique to Intel microprocessors. {\displaystyle O(1)}
[13], Coarsely, the algorithm has the following characteristics:[14][15], The LINPACK benchmark is said to have succeeded because of the scalability[16] of HPLinpack, the fact that it generates a single number, making the results easily comparable and the extensive historical data base it has associated. Another alternative is the HPCG benchmark, proposed by Dongarra. ������a�b�y�A��Xt�[0��h"��f�u���U��5�b�;�c�RJ�`fu�D*�P��5w[xn�Ӱ�,j����@nv�U->����%o��#A�C�G�)�,A�".�A���1Zqf0ހ��=���y���=0Z ��")�}T��
�Ό�~���O�p���-ht�|����Qa�l��1[\�1C�f�y���]B��T��P���1��Td�[O��I=�#�yo������BG7���*h $ai12&w��2��P3�a�U#f� ض! For each computer system, the following quantities are reported:[2], These results are used to compile the TOP500 list twice a year, with the world's most powerful computers. Sign up here
[24], According to Jack Dongarra, the running time required to obtain good performance results with HPLinpack is expected to increase. endobj
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For the TOP500, we used that version of the benchmark that allows the user to scale the size of the problem and to optimize the software in order to achieve the best performance for a given machine. endobj
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;ʓdi��tp���O?Q��X="�� 2��\ However, it can still be useful to predict performances in numerically intensive user written code using compiler optimization. suggest to you the 4 most important parameters in the HPL input file which are N, NB, P, and Q.
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