Fault tolerant preconditioned conjugate gradient for sparse linear system solution
Proceedings of the 26th ACM international conference on Supercomputing
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Algorithm based fault tolerance is an inexpensive method of achieving fault tolerance without requiring any hardware modifications. Algorithm-based schemes have been proposed for a wide variety of numerical applications. However, for a particular class of numerical applications, namely those involving the iterative solution of linear systems, there exist almost no fault-tolerant algorithms in the literature. In this paper, we describe a fault-tolerant version of a parallel algorithm for iteratively solving the Laplace equation over a grid.