| An improved approach to automatic error cumulation control |
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International Conference on Symbolic and Algebraic Computation
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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
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Authors
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J. H. J. Molenkamp
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Department of Computer Science, University of Twente, P.O. Box 217, 7500 AE Enschede, the Netherlands
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V. V. Goldman
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Department of Computer Science, University of Twente, P.O. Box 217, 7500 AE Enschede, the Netherlands
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J. A. van Hulzen
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Department of Computer Science, University of Twente, P.O. Box 217, 7500 AE Enschede, the Netherlands
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| Bibliometrics |
Downloads (6 Weeks): 2, Downloads (12 Months): 7, Citation Count: 2
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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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Bauer, F.L.: "Computational graphs and rounding error", SIAM J.Numer. Anal. 11, 1, 87-96 (1974).
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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).
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Hearn, A.C.: REDUCE user's manual, version 3.3. Santa Monica, CA: The Rand Corporation (1987).
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J. A. van Hulzen , B. J. Hulshof , B. L. Gates , M. C. van Heerwaarden, A code optimization package for REDUCE, Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation, p.163-170, July 17-19, 1989, Portland, Oregon, United States
[doi> 10.1145/74540.74561]
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Larson, J.L., Sameh, A.H.: "Algorithms for roundoff error analysis - a relative error approach", Computing 24, 275-297 (1980).
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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).
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Rump, S.M.: "Solving nonlinear systems with least significant bit accuracy", Computing 29, 183-200 (1982).
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Rump, S.M., Bofim, H.: "Least significant bit evaluation of arithmetic expressions in single-precision", Computing 30, 189-199 (1983).
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CITED BY 2
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Mark P. W. Mutrie , Richard H. Bartels , Bruce W. Char, An approach for floating-point error analysis using computer algebra, Papers from the international symposium on Symbolic and algebraic computation, p.284-293, July 27-29, 1992, Berkeley, California, United States
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V. G. Ganzha , E. V. Vorozhtsov , J. A. van Hulzen, A new symbolic-numeric approach to stability analysis of difference schemes, Papers from the international symposium on Symbolic and algebraic computation, p.9-15, July 27-29, 1992, Berkeley, California, United States
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