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Hierarchical QR Factorization Algorithms for Multi-core Cluster Systems

Authors: Dongarra, Jack; Faverge, Mathieu; Herault, Thomas; Langou, Julien; Robert, Yves;

Hierarchical QR Factorization Algorithms for Multi-core Cluster Systems

Abstract

This paper describes a new QR factorization algorithm which is especially designed for massively parallel platforms combining parallel distributed multi-core nodes. These platforms make the present and the foreseeable future of high-performance computing. Our new QR factorization algorithm falls in the category of the tile algorithms which naturally enables good data locality for the sequential kernels executed by the cores (high sequential performance), low number of messages in a parallel distributed setting (small latency term), and fine granularity (high parallelism).

Keywords

FOS: Computer and information sciences, distributed memory, Clustering algorithms, Tiles, granular computing, multicore cluster system, pattern clustering, reduction tree, sequential kernel, matrix decomposition, DAGUE scheduling tool, hierarchical QR factorization algorithm, numerical linear algebra, Algorithm design and analysis, tile algorithm, cluster, distribution layout, petascale platform, interprocessor communication, cache storage, processor scheduling, parallel machines, hierarchical tree, multicore, QR factorization, high-performance computing, hierarchical architecture, Binary trees, Program processors, parallel internode reduction, Multicore processing, multiprocessing systems, Kernel, linear algebra, Computer Science - Distributed, Parallel, and Cluster Computing, tree data structures, data reduction, internode tree, intranode trees, exascale platform, Distributed, Parallel, and Cluster Computing (cs.DC), cache friendliness, parallel distributed multicore node

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Top 10%
Average
Green