Implementation of dense matrix multiplication on 2D mesh

Bhabani Sankar Samantray, Debananda Kanhar
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引用次数: 2

Abstract

A large number of algorithms have been developed for solving large dimension matrix multiplication through parallel computation. Lots of algorithms have been developed keeping performance matrices such as speed up, efficiency, isoefficiency etc. in linear order. We have compared the performance of simple block checkerboard partitioning algorithm with cannon's algorithm over 2D mesh topology in HPC Maverick (Rocks 5.4) by taking the mathematical problem matrix multiplication. Till the date not any of the algorithms clearly claimed to be superior then the others. It seems to be advantageous to partition matrix into blocks for multiplying on the 2D Mesh.
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二维网格上密集矩阵乘法的实现
通过并行计算求解大维矩阵乘法,已经开发了大量的算法。人们开发了许多算法来保持加速、效率、等效率等性能矩阵的线性顺序。在HPC Maverick (Rocks 5.4)中,以矩阵乘法为数学问题,比较了简单块棋盘划分算法和cannon算法在二维网格拓扑上的性能。到目前为止,没有任何一种算法明确地声称比其他算法优越。将矩阵划分成块,在二维网格上相乘似乎是有利的。
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