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This paper describes a new QR factorization algorithm which is especiallydesigned for massively parallel platforms combining parallel distributedmulti-core nodes. These platforms make the present and the foreseeable futureof high-performance computing. Our new QR factorization algorithm falls in thecategory of the tile algorithms which naturally enables good data locality forthe sequential kernels executed by the cores (high sequential performance), lownumber of messages in a parallel distributed setting (small latency term), andfine granularity (high parallelism).

Hierarchical QR factorization algorithms for multi-core cluster systems