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Algorithmic fault tolerance using the Lanczos method

Boley, Daniel L; Brent, Richard P; Golub, Gene H; Luk, Franklin T


We consider the problem of algorithm-based fault tolerance, and make two major contributions. First, we show how very general sequences of polynomials can be used to generate the checksums, so as to reduce the chance of numerical overows. Second, we show how the Lanczos process can be applied in the error location and correction steps, so as to save on the amount of work and to facilitate actual hardware implementation.

CollectionsANU Research Publications
Date published: 1991
Type: Working/Technical Paper


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