Title
Self-stabilizing fine-grained parallel incomplete LU factorization
Abstract
This paper presents an investigation into the use of various mechanisms for improving the resilience of the fine-grained parallel algorithm for computing an incomplete LU factorization. These include various approaches to checkpointing as well as a study into the feasibility of using a self-stabilizing periodic correction step. Results concerning convergence of all of the self-stabilizing variants of the algorithm with respect to the occurrence of faults, and the impact of any sub-optimality in the produced incomplete L and U factors in Krylov subspace solvers are given. Numerical tests show that the simple algorithmic changes suggested here can ensure convergence of the fine-grained parallel incomplete factorization, and improve the performance of the resulting factors as preconditioners in Krylov subspace solvers in the presence of transient soft faults.
Year
DOI
Venue
2018
10.1016/j.suscom.2018.01.003
Sustainable Computing: Informatics and Systems
Keywords
Field
DocType
Fault tolerance,Parallel preconditioning,Incomplete factorization,Asynchronous iterative methods,Self-stabilizing iterative algorithms
Convergence (routing),Krylov subspace,Numerical tests,Parallel algorithm,Computer science,Algorithm,Incomplete LU factorization,Factorization,Periodic graph (geometry)
Journal
Volume
ISSN
Citations 
19
2210-5379
0
PageRank 
References 
Authors
0.34
21
3
Name
Order
Citations
PageRank
Evan Coleman112.72
Evan Coleman212.72
Masha Sosonkina327245.62