An improved approach to automatic error cumulation control

J.H.J. Molenkamp; V.V. Goldman; J.A. van Hulzen

doi:10.1145/120694.120758

An improved approach to automatic error cumulation control

J.H.J. Molenkamp, V.V. Goldman, J.A. van Hulzen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

4 Citations (Scopus)

63 Downloads (Pure)

Abstract

For evaluation of arithmetical expressions using multiple precision floating-point arithmetic, a method is given to automatically perform error cumulation control prior to the actual computations. Individual errors and their effects are identified,
and it is shown how to compute these effects efficiently via automatic differentiation. In the presented approach these effects we used to determine which precisions have to be chosen during the real computations, in order to limit error cumulation to admissible, user chosen error bounds.

Original language	English
Title of host publication	ISSAC'91
Subtitle of host publication	Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation 1991
Place of Publication	New York, NY
Publisher	Association for Computing Machinery
Pages	414-418
Number of pages	5
ISBN (Print)	9780897914376
DOIs	https://doi.org/10.1145/120694.120758
Publication status	Published - 1 Sept 1991
Event	International Symposium on Symbolic and Algebraic Computation, ISSAC 1991 - Bonn, Germany Duration: 15 Jul 1991 → 17 Jul 1991

Conference

Conference	International Symposium on Symbolic and Algebraic Computation, ISSAC 1991
Abbreviated title	ISSAC
Country/Territory	Germany
City	Bonn
Period	15/07/91 → 17/07/91

Access to Document

10.1145/120694.120758

Molenkamp1991improvedFinal published version, 512 KB

4 Citations
1 Report

An improved approach to automatic error cumulation control
Molenkamp, J. H. J., Goldman, V. V. & van Hulzen, J. A., 1991, Enschede: University of Twente. 12 p. (Memoranda informatica; no. 91-61)
Research output: Book/Report › Report › Professional

Cite this

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title = "An improved approach to automatic error cumulation control",

abstract = "For evaluation of arithmetical expressions using multiple precision floating-point arithmetic, a method is given to automatically perform error cumulation control prior to the actual computations. Individual errors and their effects are identified,and it is shown how to compute these effects efficiently via automatic differentiation. In the presented approach these effects we used to determine which precisions have to be chosen during the real computations, in order to limit error cumulation to admissible, user chosen error bounds.",

author = "J.H.J. Molenkamp and V.V. Goldman and {van Hulzen}, J.A.",

year = "1991",

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Molenkamp, JHJ, Goldman, VV & van Hulzen, JA 1991, An improved approach to automatic error cumulation control. in ISSAC'91: Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation 1991. Association for Computing Machinery, New York, NY, pp. 414-418, International Symposium on Symbolic and Algebraic Computation, ISSAC 1991, Bonn, North Rhine-Westphalia, Germany, 15/07/91. https://doi.org/10.1145/120694.120758

An improved approach to automatic error cumulation control. / Molenkamp, J.H.J.; Goldman, V.V.; van Hulzen, J.A.
ISSAC'91: Proceedings of the 1991 International Symposium on Symbolic and Algebraic Computation 1991. New York, NY: Association for Computing Machinery, 1991. p. 414-418.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - An improved approach to automatic error cumulation control

AU - Molenkamp, J.H.J.

AU - Goldman, V.V.

AU - van Hulzen, J.A.

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Y1 - 1991/9/1

N2 - For evaluation of arithmetical expressions using multiple precision floating-point arithmetic, a method is given to automatically perform error cumulation control prior to the actual computations. Individual errors and their effects are identified,and it is shown how to compute these effects efficiently via automatic differentiation. In the presented approach these effects we used to determine which precisions have to be chosen during the real computations, in order to limit error cumulation to admissible, user chosen error bounds.

AB - For evaluation of arithmetical expressions using multiple precision floating-point arithmetic, a method is given to automatically perform error cumulation control prior to the actual computations. Individual errors and their effects are identified,and it is shown how to compute these effects efficiently via automatic differentiation. In the presented approach these effects we used to determine which precisions have to be chosen during the real computations, in order to limit error cumulation to admissible, user chosen error bounds.

U2 - 10.1145/120694.120758

DO - 10.1145/120694.120758

M3 - Conference contribution

SN - 9780897914376

SP - 414

EP - 418

BT - ISSAC'91

PB - Association for Computing Machinery

CY - New York, NY

T2 - International Symposium on Symbolic and Algebraic Computation, ISSAC 1991

Y2 - 15 July 1991 through 17 July 1991

ER -

An improved approach to automatic error cumulation control

Abstract

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Research output

An improved approach to automatic error cumulation control

Cite this