Two-dimensional Block Partitionings for the Parallel Sparse Cholesky Factorization : the Fan-in Method

Bogdan Dumitrescu 1 Mathias Doreille 1 Jean-Louis Roch 1 Denis Trystram 1
1 APACHE - Parallel algorithms and load sharing
ID-IMAG - Informatique et Distribution, Inria Grenoble - Rhône-Alpes, UJF - Université Joseph Fourier - Grenoble 1
Abstract : This paper presents a discussion on 2D block mappings for the sparse Cholesky factorization on parallel MIMD architectures with distributed memory. It introduces the fan-in algorithm in a general manner and proposes several mapping strategies. The grid mapping with row balancing, inspired from Rothberg's work proved to be more robust than the original fan-out algorithm. Even more efficient is the proportional mapping, as show the experiments on a 32 processors IBM SP1 and on a Cray T3D. Subforest-to-subcube mappings are also considered and give good results on the T3D.
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https://hal.inria.fr/inria-00073533
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Submitted on : Wednesday, May 24, 2006 - 1:08:45 PM
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Bogdan Dumitrescu, Mathias Doreille, Jean-Louis Roch, Denis Trystram. Two-dimensional Block Partitionings for the Parallel Sparse Cholesky Factorization : the Fan-in Method. [Research Report] RR-3156, INRIA. 1997. ⟨inria-00073533⟩

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