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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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

Jones, Clinton Christopher 12 April 2004 (has links)
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.
Fault tolerance
Algebraic methods
Numerical functions
Error checking
Checking polynomials
System design Data processing
Fault-tolerant computing
Mathematical analysis
Numerical functions
Polynomials

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