A 3D Parallel Algorithm for QR Decomposition

被引：0
|
作者：
Ballard, Grey [1 ]
Demmel, James [2 ]
Grigori, Laura [3 ]
Jacquelin, Mathias [4 ]
Knight, Nicholas [5 ]
机构：
[1] Wake Forest Univ, Winston Salem, NC 27101 USA
[2] Univ Calif Berkeley, Berkeley, CA 94720 USA
[3] INRIA Paris Rocquencourt, Paris, France
[4] Lawrence Berkeley Natl Lab, Berkeley, CA USA
[5] NYU, New York, NY USA
来源：
SPAA'18: PROCEEDINGS OF THE 30TH ACM SYMPOSIUM ON PARALLELISM IN ALGORITHMS AND ARCHITECTURES | 2018年
基金：
美国国家科学基金会; 欧盟地平线“2020”;
关键词：
communication-avoiding algorithms; bandwidth-latency tradeoffs; communication-memory tradeoffs; COLLECTIVE COMMUNICATION; MATRIX; REPRESENTATION;
D O I：
10.1145/3210377.3210415
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Interprocessor communication often dominates the runtime of large matrix computations. We present a parallel algorithm for computing QR decompositions whose bandwidth cost (communication volume) can be decreased at the cost of increasing its latency cost (number of messages). By varying a parameter to navigate the bandwidth/latency tradeoff, we can tune this algorithm for machines with different communication costs.
引用
收藏
页码：55 / 65
页数：11
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