Managing the complexity of lookahead for LU factorization with pivoting

Ernie Chan, Robert A. Geijn, Andrew Chapman · 2010

We describe parallel implementations of LU factorization with pivoting for multicore architectures. Implementations that differ in two different dimensions are discussed: (1) using classical partial pivoting versus recently proposed incremental pivoting and (2) extracting parallelism only within the Basic Linear Algebra Subprograms versus building and scheduling a directed acyclic graph of tasks. Performance comparisons are given on two different systems.

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