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An approach for floating-point error analysis using computer algebra
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Source International Conference on Symbolic and Algebraic Computation archive
Papers from the international symposium on Symbolic and algebraic computation table of contents
Berkeley, California, United States
Pages: 284 - 293  
Year of Publication: 1992
ISBN:0-89791-489-9
Authors
Sponsors
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics
Publisher
ACM  New York, NY, USA
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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F.L. Bauer. Computational Graphs and Rounding Error. SIAM Journal of Numerical Analysis, 11(1):87-96, March 1974.
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Peter Henrici. Elements of Numerical Analysis. John Wiley ~ Sons, Inc., New York, 1964.
 
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Peter Henrici. A Model for the Propagation of Rounding Error in Floating Arithmetic. In Karl L. E. Nickel, editor, Interval Mathematics 1980, pages 49-74, New York, 1980. Academic Press, Inc. Proceedings of an International Symposium on Interval Mathematics.
 
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Seppo Linnainmaa. A Fortran Implementation of the Error Linearization Method for Automatic Error Analysis. Technical Report A-1982-3, Department of Computer Science, University of Helsinki, Helsinki, Finland, 1982.
 
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S. Linnainmaa, H. Lokki, E. Ukkonen, and I. Verkamo. Algol Elastic, A Programming Language for Analyzing Numerical Stability and Its Implementation. Technical Report A-1978-3, Department of Computer Science, University of Helsinki, 1978.
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LS80
J.L. Larson and A. H. Sameh. Algorithms for Roundoff Error Analysis- A Relative Error Approach. Computing, 24(4):275-297, 1980.
 
Mat85
MGvH91
 
Mutar
Mark P.W. Mutrie. Towards a Symbolic System for Floating-Point Error Amdysis. Technical ~eport, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1, To appear.
 
MW80
Webb Miller and Celia Wrathall. Software for Roundoff Analysis of Matriz Algorithms. Academic Press, Inc., New York, 1980.
 
SB80
J. Stoer and R. Bulirsch. introduction ~o Numerical Analysis. Springer-Vet}lag, New York, 1980.
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Collaborative Colleagues:
Mark P. W. Mutrie: colleagues
Richard H. Bartels: colleagues
Bruce W. Char: colleagues

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