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Efficient Calculation of the Effects of Roundoff Errors
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Source ACM Transactions on Mathematical Software (TOMS) archive
Volume 4 ,  Issue 3  (September 1978) table of contents
Pages: 228 - 236  
Year of Publication: 1978
ISSN:0098-3500
Authors
John Larson  Department of Computer Science, University of Illinois at Urbana-Champaign, Urbana, IL
Ahmed Sameh  Center for Advanced Computation, University of Illinois at Urbana-Champaign, Urbana, IL
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 0,   Downloads (12 Months): 13,   Citation Count: 5
Additional Information:

references   cited by   index terms   collaborative colleagues  

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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 (March 1974).
 
2
LINNAINMAA, S. Taylor expansion of the accumulated roundmg error. BIT 16, 2 {1976)
3
Webb Miller, Software for Roundoff Analysis, ACM Transactions on Mathematical Software (TOMS), v.1 n.2, p.108-128, June 1975  [doi>10.1145/355637.355639]
4
Webb Miller , David Spooner, Software for roundoff analysis, II, ACM Transactions on Mathematical Software (TOMS), v.4 n.4, p.369-387, December 1978  [doi>10.1145/356502.356496]
 
5
STERBENZ, P H Floatmg Point Computatlon Prentice-Hall, Englewood Chffs, N J, 1974

CITED BY  5
John L. Larson , Mary E. Pasternak , John A. Wisniewski, Algorithm 594: Software for Relative Error Analysis, ACM Transactions on Mathematical Software (TOMS), v.9 n.1, p.125-130, March 1983
Esko Ukkonen, On the calculation of the effects of roundoff errors, ACM Transactions on Mathematical Software (TOMS), v.7 n.3, p.259-271, Sept. 1981
J. H. J. Molenkamp , V. V. Goldman , J. A. van Hulzen, An improved approach to automatic error cumulation control, Proceedings of the 1991 international symposium on Symbolic and algebraic computation, p.414-418, July 15-17, 1991, Bonn, West Germany
Donald B. Johnson , Webb Miller , Brian Minnihan , Celia Wrathall, Reducibility Among Floating-Point Graphs, Journal of the ACM (JACM), v.26 n.4, p.739-760, Oct. 1979
V. S. S. Nair , Jacob A. Abraham, Real-Number Codes for Fault-Tolerant Matrix Operations on Processor Arrays, IEEE Transactions on Computers, v.39 n.4, p.426-435, April 1990

INDEX TERMS

Primary Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.0 General
          Subjects: Computer arithmetic

Additional Classification:
  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.0 General
          Subjects: Stability (and instability)
      G.1.3 Numerical Linear Algebra
          Subjects: Linear systems (direct and iterative methods)


General Terms:
Design, Performance, Reliability, Theory

Collaborative Colleagues:
John Larson: colleagues
Ahmed Sameh: colleagues

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