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Determining Coefficients of Checking Polynomials for an Algebraic Method of Fault Tolerant Computations of Numerical Functions

This thesis presents a practical means for determining checking polynomials for the fault tolerant computation of numerical functions. This method is based on certain algebraic features of the numerical functions such as the transcendence degree of a field extension. Checking polynomials are given for representative simple and compound numerical functions. Some of these checking models are implemented in a simulation environment. The program developed provides the means for generating checking polynomials for a broad class of numerical functions. Considerations for designing and deploying checking models are given. This numerical technique can lower costs and conserve system resources when engineering for remote or nanoscale supercomputing environments.

Identiferoai:union.ndltd.org:GATECH/oai:smartech.gatech.edu:1853/5242
Date12 April 2004
CreatorsJones, Clinton Christopher
PublisherGeorgia Institute of Technology
Source SetsGeorgia Tech Electronic Thesis and Dissertation Archive
Languageen_US
Detected LanguageEnglish
TypeThesis
Format895022 bytes, application/pdf

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