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An improved approach to automatic error cumulation control
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1991 international symposium on Symbolic and algebraic computation table of contents
Bonn, West Germany
Pages: 414 - 418  
Year of Publication: 1991
ISBN:0-89791-437-6
Authors
J. H. J. Molenkamp  Department of Computer Science, University of Twente, P.O. Box 217, 7500 AE Enschede, the Netherlands
V. V. Goldman  Department of Computer Science, University of Twente, P.O. Box 217, 7500 AE Enschede, the Netherlands
J. A. van Hulzen  Department of Computer Science, University of Twente, P.O. Box 217, 7500 AE Enschede, the Netherlands
Sponsors
GMD : German Natl Research Ctr for Information Tech. - Gesellschft
German Comp Soc : GI - Gesellshaft for Informatik
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
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.

 
1
Bauer, F.L.: "Computational graphs and rounding error", SIAM J.Numer. Anal. 11, 1, 87-96 (1974).
 
2
Brown, W.S.: "A realistic model of floating-point computation", Mathematical Software III (J.R. Rice, ed.), 343-360. New York: Academic Press (1977).
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Griewank, A.: "On automatic differentiation", Mathematical programming: recent developments and applications (M. Iri, K. Tanabe, eds.), 83-107. Tokyo: KTK Scientific Publishers (1989).
 
5
Hearn, A.C.: REDUCE user's manual, version 3.3. Santa Monica, CA: The Rand Corporation (1987).
 
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Larson, J.L., Sameh, A.H.: "Algorithms for roundoff error analysis - a relative error approach", Computing 24, 275-297 (1980).
 
13
Linnainmaa, S.: "Taylor expansion of the accumulated rounding error", B/T 16, 146-160 (1976).
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RalI, L.B.: Automatic differentiation: techniques and applications, Springer LNCS series 120. Heidelberg: Springer Verlag (1981).
 
17
Rump, S.M.: "Solving nonlinear systems with least significant bit accuracy", Computing 29, 183-200 (1982).
 
18
Rump, S.M., Bofim, H.: "Least significant bit evaluation of arithmetic expressions in single-precision", Computing 30, 189-199 (1983).
 
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Collaborative Colleagues:
J. H. J. Molenkamp: colleagues
V. V. Goldman: colleagues
J. A. van Hulzen: colleagues