• Corpus ID: 117559971

Functional stability analysis of numerical algorithms

@inproceedings{Rowan1990FunctionalSA,
  title={Functional stability analysis of numerical algorithms},
  author={Thomas Harvey Rowan},
  year={1990}
}
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References

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Computer methods for mathematical computations
Software for Roundoff Analysis of Matrix Algorithms
The LLT and QR methods for symmetric tridiagonal matrices
Computer Search for Numerical Instability
TLDR
An automatic roundoff analysis is described, which shows that the usual algorithm for inverting triangular matrices does not enjoy a certain very stringent stabdlty property.
A Set of Counter-Examples to Three Condition Number Estimators
The estimation of the condition number of a matrix relative to inversion is important for bounding the errors in computer solutions of linear systems of equations. Three methods of estimation are
Algorithm 594: Software for Relative Error Analysis
TLDR
This package performs an automatic round-off error analysis of numerical algorithms, which is useful in determining the numerical propert ies (stability) of such algorithms and gives an accurate analysis of an algori thm for some fixed data.
Teaching the fundamentals of experimental design
A contribution to the theory of condition
SummaryIn this paper the use of the condition number of a problem, as defined by Rice in 1966, is discussed. For the eigenvalue, eigenvector, and linear least squares problems either condition
Practical optimization
TLDR
This ebook Practical Optimization by Philip E. Gill is presented in pdf format and the full version of this ebook in DjVu, ePub, doc, txt, PDF forms is presented.
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