Title
Robust Memory-Aware Mappings for Parallel Multifrontal Factorizations.
Abstract
We study the memory scalability of the parallel multifrontal factorization of sparse matrices. In particular, we are interested in controlling the active memory specific to the multifrontal factorization. We illustrate why commonly used mapping strategies (e.g., the proportional mapping) cannot provide a high memory efficiency, which means that they tend to let the memory usage of the factorization grow when the number of processes increases. We propose "memory-aware" algorithms that aim at maximizing the granularity of parallelism while respecting memory constraints. These algorithms provide accurate memory estimates prior to the factorization and can significantly enhance the robustness of a multifrontal code. We illustrate our approach with experiments performed on large matrices.
Year
DOI
Venue
2016
10.1137/130938505
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Keywords
DocType
Volume
sparse matrix algorithms,direct methods,task scheduling
Journal
38
Issue
ISSN
Citations 
3
1064-8275
3
PageRank 
References 
Authors
0.40
0
6
Name
Order
Citations
PageRank
Emmanuel Agullo121721.56
Patrick R. Amestoy244644.24
Alfredo Buttari364753.60
Abdou Guermouche426927.32
Jean-Yves L'Excellent534836.02
François-Henry Rouet6716.35